.. , Novel Distributed Optimization Algorithms Contents 3.1 Finite-Time Average Consensus, p.70

.. , , p.70

.. Self-configuration, , p.72

P. Swarm-optimization and .. , , p.73

.. Basic-algorithm, 73 3.2.2 Avoiding Premature Convergence, p.77

.. , Problem Formulation and Available Solutions, p.78

.. , , p.80

, Gradient-based Distributed Optimization, p.81

D. Cooperative and P. , , p.84

P. Statement and .. , , p.85

A. Description and .. , , p.86

.. , , p.86

L. ,

.. , , p.88

. .. , , p.90

, Self-configuration Step, p.92

C. , , p.94

D. , Distributed Cooperative PSO with reduced communication, p.94

R. Works and C. , , p.94

P. Statement and .. , , p.96

D. Behavioral-analysis and .. , , p.97

E. , , p.99

-. , , p.100

, Chapter 3. Novel Distributed Optimization Algorithms

A. Description and .. , 103 Exploiting the Problem Structure . . . . . . . . 103

L. Bests and .. , , p.104

. .. , , p.105

B. Test and .. , Simulation Setup, vol.106

.. ,

.. Constrained-optimization-extension, , p.111

C. , , p.112

.. Optimal-power-flow-application, , p.113

M. Power-system, , p.114

C. , , p.116

D. Optimal-power-flow and .. , , p.117

D. .. , , p.119

C. Majid, A. Abdullah, C. Yatim, R. Tan, and . Saidur, A review of maximum power point tracking algorithms for wind energy systems. Renewable and sustainable energy reviews, pp.3220-3227, 2012.

. Ma-abido, Optimal power flow using particle swarm optimization, International Journal of Electrical Power & Energy Systems, vol.24, issue.7, pp.563-571, 2002.
DOI : 10.1016/S0142-0615(01)00067-9

, Thomas Ackermann Wind power in power systems, 2005.

A. Hernandez-aguirre, E. Zavala, S. Villa-diharce, and . Botello-rionda, COPSO: Constrained Optimization via PSO algorithm Technical report No. I-07- 04/22-02, Center for Research in Mathematics (CIMAT), vol.78, pp.77-79, 2007.

B. Akat and V. Gazi, Decentralized asynchronous particle swarm optimization, 2008 IEEE Swarm Intelligence Symposium, pp.1-8, 2008.
DOI : 10.1109/SIS.2008.4668304

M. Mm-ali, J. Golalikhani, and . Zhuang, A computational study on different penalty approaches for solving constrained global optimization problems with the electromagnetism-like method, Optimization, vol.10, issue.3, pp.403-419, 2014.
DOI : 10.1023/A:1008202821328

, Göran Andersson. Modelling and analysis of electric power systems, p.114, 2008.

M. Arifujjaman, E. John, and . Quaicoe, Vector control of a DFIG based wind turbine, Istanbul University-Journal of Electrical & Electronics Engineering, vol.9, issue.7, pp.1057-1066, 2009.

A. Atashpendar, B. Dorronsoro, G. Danoy, and P. Bouvry, A parallel cooperative coevolutionary SMPSO algorithm for multi-objective optimization, 2016 International Conference on High Performance Computing & Simulation (HPCS), pp.713-720, 2016.
DOI : 10.1109/HPCSim.2016.7568405

URL : http://orbilu.uni.lu/bitstream/10993/29925/1/CAMERA_READY_paperCCSMPSO.pdf

M. Barakati, M. Kazerani, and J. Aplevich, Maximum Power Tracking Control for a Wind Turbine System Including a Matrix Converter, IEEE Transactions on Energy Conversion, vol.24, issue.3, pp.705-713, 2009.
DOI : 10.1109/TEC.2008.2005316

, Stefanos Baros and Marija D Ilic Distributed Torque Control of Deloaded Wind DFIGs for Wind Farm Power Output Regulation, Bibliography IEEE Transactions on Power Systems, vol.10, p.42, 2017.

A. Jamal, V. Baroudi, . Dinavahi, M. Andrew, and . Knight, A review of power converter topologies for wind generators, Renewable Energy, vol.32, issue.14 5, pp.2369-2385, 2007.

C. Gomez, F. Ocampo-martinez, N. Bianchi, and . Quijano, Model-free control for wind farms using a gradient estimation-based algorithm, Control Conference (ECC), 2015 European, pp.1516-1521

, Vertical axis wind turbine?A review of various configurations and design techniques, Renewable and Sustainable Energy Reviews, vol.16, issue.4 4, pp.1926-1939, 2012.

B. Biegel, D. Madjidian, V. Spudic, A. Rantzer, and J. Stoustrup, Distributed low-complexity controller for wind power plant in derated operation, 2013 IEEE International Conference on Control Applications (CCA), pp.146-151, 2013.
DOI : 10.1109/CCA.2013.6662758

, Boubekeur Boukhezzar and Houria Siguerdidjane Nonlinear control of variable speed wind turbines for power regulation, Control Applications , 2005. CCA 2005. Proceedings of 2005 IEEE Conference on, pp.114-119, 2005.

]. Boukhezzar, Sur les stratégies de commande pour l'optimisation et la régulation de puissance des éoliennes à vitesse variable, pp.33-35, 2006.

H. Boubekeur-boukhezzar, M. Siguerdidjane, and . Hand, Nonlinear Control of Variable-Speed Wind Turbines for Generator Torque Limiting and Power Optimization, Journal of Solar Energy Engineering, vol.73, issue.4, pp.516-530, 2006.
DOI : 10.1016/S0167-6105(99)00131-2

. Boubekeur-boukhezzar, H. Lupu, M. Siguerdidjane, and . Hand, Multivariable control strategy for variable speed, variable pitch wind turbines, Renewable Energy, vol.32, issue.8, pp.1273-1287, 2007.
DOI : 10.1016/j.renene.2006.06.010

, Boubekeur Boukhezzar and Houria Siguerdidjane Nonlinear control with wind estimation of a DFIG variable speed wind turbine for power capture optimization. Energy Conversion and Management, pp.885-892, 2009.

, Boubekeur Boukhezzar and Houria Siguerdidjane Comparison between linear and nonlinear control strategies for variable speed wind turbines, Control Engineering Practice, vol.18, issue.8, pp.1357-1368, 2010.

, Boubekeur Boukhezzar and Houria Siguerdidjane Nonlinear control of a variable-speed wind turbine using a two-mass model, IEEE Transactions on Energy Conversion, vol.26, issue.33, pp.149-162, 2011.

, Stephen Boyd and Lieven Vandenberghe. Convex optimization, p.82, 2004.

R. Burkart, K. Margellos, and J. Lygeros, Nonlinear control of wind turbines: An approach based on switched linear systems and feedback linearization, IEEE Conference on Decision and Control and European Control Conference, pp.5485-5490, 2011.
DOI : 10.1109/CDC.2011.6160709

]. Burton, N. Jenkins, D. Sharpe, and E. Bossanyi, Wind energy handbook, p.33, 2011.

C. Juan, C. Fuentes-cabrera, and . Coello, Handling constraints in particle swarm optimization using a small population size, Mexican International Conference on Artificial Intelligence, pp.41-51, 2007.

, A cooperative parallel particle swarm optimization for highdimension problems on GPUs, Computational Intelligence and 11th Brazilian Congress on Computational Intelligence (BRICS-CCI & CBIC), 2013 BRICS Congress on, pp.356-361, 2013.

H. Camblong, S. Nourdine, I. Vechiu, and G. Tapia, Control of wind turbines for fatigue loads reduction and contribution to the grid primary frequency regulation, Energy, vol.48, issue.1, pp.284-291, 2012.
DOI : 10.1016/j.energy.2012.05.035

URL : https://hal.archives-ouvertes.fr/hal-01707845

]. Cao, W. Ren, and Y. Li, Distributed discrete-time coordinated tracking with a time-varying reference state and limited communication, Automatica, vol.45, issue.5, pp.1299-1305, 2009.
DOI : 10.1016/j.automatica.2009.01.018

Y. Cao and W. Ren, Distributed coordinated tracking with reduced interaction via a variable structure approach, IEEE Transactions on Automatic Control, vol.57, issue.1, pp.33-48, 2012.
DOI : 10.1109/tac.2010.2049517

]. Carli, A. Chiuso, L. Schenato, and S. Zampieri, A PI Consensus Controller for Networked Clocks Synchronization, IFAC Proceedings Volumes, pp.10289-10294, 2008.
DOI : 10.3182/20080706-5-KR-1001.01741

W. Palmer, A. S. Carlin, E. Laxson, and . Muljadi, The history and state of the art of variable-speed wind turbine technology, Wind Energy, vol.6, issue.2 4, pp.129-159, 2003.

. Carpentier, Contribution to the economic dispatch problem, pp.431-447, 1962.

, Distributed constrained optimization by consensus-based primal-dual perturbation method, IEEE Transactions on Automatic Control, vol.59, issue.6, pp.1524-1538, 2014.

C. Shi, Population diversity in particle swarm optimization: Definition, observation, control, and application, p.2013, 2013.

. Shu-chuan, . Chu, F. John, J. Roddick, and . Pan, Parallel particle swarm optimization algorithm with communication strategies, 2003.

M. Cimino, R. Prabhakar, and . Pagilla, A Design Technique for Multirate Linear Systems, IEEE Transactions on Control Systems Technology, vol.17, issue.6, pp.1342-1349, 2009.
DOI : 10.1109/TCST.2008.2007911

, Maurice Clerc Stagnation analysis in particle swarm optimisation or what happens when nothing happens, 2006.

J. Christopher, D. Crabtree, . Zappalá, J. Peter, and . Tavner, Survey of commercially available condition monitoring systems for wind turbines, 2014.

H. Anese, . Zhu, B. Georgios, and . Giannakis, Distributed Optimal Power Flow for Smart Microgrids, IEEE Transactions on Smart Grid, vol.4, issue.3, pp.1464-1475
DOI : 10.1109/TSG.2013.2248175

J. Andreu, J. Luis-martín, and P. Ibanez, José Luis Villate and Haritza Camblong. Connection requirements for wind farms: A survey on technical requierements and regulation, Renewable and Sustainable Energy Reviews, vol.11, issue.6, pp.1858-1872, 2007.

G. Rogério, J. P. De-almeida, and . Lopes, Participation of doubly fed induction wind generators in system frequency regulation, IEEE transactions on power systems, pp.944-950, 2007.

C. Maurício, J. Oliveira, . Bernussou, C. José, and . Geromel, A new discrete-time robust stability condition, Systems & control letters, vol.37, issue.4, pp.261-265, 1999.

C. Maur?cio, . Oliveira, C. José, J. Geromel, and . Bernussou, Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems, International Journal of Control, vol.75, issue.9, pp.666-679, 2002.

D. Kalyanmoy, An efficient constraint handling method for genetic algorithms Computer methods in applied mechanics and engineering, pp.311-338, 2000.

, Kalyanmoy Deb Optimization for engineering design: Algorithms and examples, PHI Learning Pvt. Ltd, 2012.

S. Ganesh-kumar-venayagamoorthy, J. Mohagheghi, . Hernandez, G. Ronald, and . Harley, Particle swarm optimization: basic concepts, variants and applications in power systems, IEEE Transactions on evolutionary computation, vol.12, issue.2, pp.171-195, 2008.

G. Gauthier-delille, C. Malarange, and . Gaudin, Analysis of the options to reduce the integration costs of renewable generation in the distribution networks Part 2: A step towards advanced connection studies taking into account the alternatives to grid reinforcement, 2013.

, Distributed Design of Finite-time Average Consensus Protocols, IFAC Proceedings Volumes, vol.46, issue.70, pp.227-233, 2013.

, Judith Ebegbulem Distributed control of multi-agent systems using extremum seeking, 2016.

, A new optimizer using particle swarm theory, Micro Machine and Human Science MHS'95 Proceedings of the Sixth International Symposium on, pp.39-43, 1995.

[. Bibliography, Network code for requirements for grid connection applicable to all generators. European Network of Transmission System Operators for Electricity, 2013.

J. Feng and W. Shen, Solving the wind farm layout optimization problem using random search algorithm, Renewable Energy, vol.78, pp.182-192, 2015.
DOI : 10.1016/j.renene.2015.01.005

P. Fleming, M. Pieter, S. Gebraad, J. Lee, K. Wingerden et al., Simulation comparison of wake mitigation control strategies for a two-turbine case, Wind Energy, vol.17, issue.7, pp.2135-2143, 2015.
DOI : 10.1002/we.1612

A. Bruce, W. Francis, and . Murray-wonham, The internal model principle of control theory, Automatica, vol.12, issue.5, pp.457-465, 1976.

R. Gazi and . Ordonez, Particle swarm optimization based distributed agreement in multi-agent dynamic systems, 2014 IEEE Symposium on Swarm Intelligence, pp.1-7, 2014.
DOI : 10.1109/SIS.2014.7011792

Y. Yanrong-ge and . Chen, Yaxiao Zhang and Zhonghe He. State consensus analysis and design for high-order discrete-time linear multiagent systems, Mathematical Problems in Engineering, vol.2013, issue.173, p.172, 2013.

M. Pieter, . Gebraad, C. Filip, J. Van-dam, and . Van-wingerden, A model-free distributed approach for wind plant control, American Control Conference, pp.628-633, 2013.

. Pmo-gebraad, . Fw-teeuwisse, . Jw-wingerden, A. Paul, . Fleming et al., Wind plant power optimization through yaw control using a parametric model for wake effects-a CFD simulation study, Wind Energy, vol.135, issue.3, pp.95-114, 2016.
DOI : 10.1115/1.4023971

H. Gionfra-2016a-]-nicolo-gionfra, G. Siguerdidjane, D. Sandou, and . Faille, Hierarchical Control of a Wind Farm for Wake Interaction Minimization, IFAC-PapersOnLine, vol.49, issue.27, pp.330-335
DOI : 10.1016/j.ifacol.2016.10.713

H. Nicolo-gionfra, G. Siguerdidjane, D. Sandou, P. Faille, and . Loevenbruck, Combined feedback linearization and MPC for wind turbine power tracking, Control Applications (CCA), 2016 IEEE Conference on, pp.52-57, 2016.

G. Gionfra-2017a-]-nicolo-gionfra, H. Sandou, D. Siguerdidjane, and . Faille, A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems, ICINCO, 14th International Conference on Informatics in Control, Automation and Robotics, p.2017

G. Nicolo-gionfra, H. Sandou, D. Siguerdidjane, P. Faille, and . Loevenbruck, A Distributed Consensus Control Under Disturbances for Wind Farm Power Maximization, Decision and Control (CDC), 2017 IEEE 56th Annual Conference on, p.2017, 2017.

G. Nicolo-gionfra, H. Sandou, P. Siguerdidjane, D. Loevenbruck, and . Faille, A novel distributed particle swarm optimization algorithm for the optimal power flow problem, Control Technology and Applications (CCTA), 2017 IEEE Conference, p.2017, 2017.

]. and G. , Kronecker products and matrix calculus with applications, 1981.

, Sébastien Gros An economic NMPC formulation for wind turbine control, Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, pp.1001-1006, 2013.

C. Hamon, K. Elkington, and M. Ghandhari, Doubly-fed induction generator modeling and control in DigSilent Power- Factory, Power System Technology (POWERCON), 2010 International Conference on, pp.1-7, 2010.
DOI : 10.1109/powercon.2010.5666596

D. Anca, P. Hansen, and . Sørensen, Florin Iov and Frede Blaabjerg Centralised power control of wind farm with doubly fed induction generators, Renewable Energy, vol.31, issue.7 5, pp.935-951, 2006.

]. Hauser, S. Sastry, and P. Kokotovic, Nonlinear control via approximate input-output linearization: the ball and beam example, IEEE Transactions on Automatic Control, vol.37, issue.3, pp.392-398, 1992.
DOI : 10.1109/9.119645

. Flavio-heer, M. Peyman-mohajerin-esfahani, J. Kamgarpour, and . Lygeros, Model based power optimisation of wind farms, Control Conference (ECC), 2014 European, pp.1145-1150, 2014.

, Siegfried Heier Wind energy conversion systems. Grid Integration of Wind Energy: Onshore and Offshore Conversion Systems, pp.31-117, 2014.

. Hendrickx, A. Jungers, G. Olshevsky, and . Vankeerberghen, Diameter, optimal-time consensus, and graph eigenvalues, Bibliography, p.2012, 2012.

M. Herceg, M. Kvasnica, C. N. Jones, and M. Morari, Multi-Parametric Toolbox 3.0, Proc. of the European Control Conference, pp.502-510, 2013.
DOI : 10.23919/ecc.2013.6669862

M. James and . Hereford, A distributed particle swarm optimization algorithm for swarm robotic applications, Evolutionary Computation, pp.1678-1685, 2006.

]. Herp, V. Uffe, M. Poulsen, and . Greiner, Wind farm power optimization including flow variability, Renewable Energy, vol.81, issue.9, pp.173-181, 2015.
DOI : 10.1016/j.renene.2015.03.034

, Alberto Isidori. Nonlinear control systems, 2013.

T. Jansen and R. Paul-wiegand, Sequential versus parallel cooperative coevolutionary (1+1) EAs, The 2003 Congress on Evolutionary Computation, 2003. CEC '03., pp.30-37, 2003.
DOI : 10.1109/CEC.2003.1299553

, Niels Otto Jensen. A note on wind generator interaction, 1983.

A. Jiménez, E. Crespo, and . Migoya, Application of a LES technique to characterize the wake deflection of a wind turbine in yaw, Wind energy, pp.559-572, 2010.
DOI : 10.1002/we.380

K. Visakan-kadirkamanathan, . Selvarajah, J. Peter, and . Fleming, Stability analysis of the particle dynamics in particle swarm optimizer, IEEE Transactions on Evolutionary Computation, vol.10, issue.3, pp.245-255, 2006.
DOI : 10.1109/TEVC.2005.857077

J. Katic, N. O. Højstrup, and . Jensen, A simple model for cluster efficiency, European wind energy association conference and exhibition, pp.407-410, 1986.

, J Kennedy and M Clerc. Standard PSO, 2006.

]. H. Khalil, Nonlinear systems. Pearson Education, 2002.

N. Khezami, N. Benhadj-braiek, and X. Guillaud, Wind turbine power tracking using an improved multimodel quadratic approach, ISA Transactions, vol.49, issue.3, pp.326-334, 2010.
DOI : 10.1016/j.isatra.2010.03.008

T. Torben-knudsen, M. Bak, and . Svenstrup, Survey of wind farm control-power and fatigue optimization, Wind Energy, vol.16, issue.4, pp.1333-1351, 2015.
DOI : 10.1002/we.267

D. Alan, . George, T. Raphael, . Haftka, J. Benjamin et al., Parallel asynchronous particle swarm optimization, International Journal for numerical methods in engineering, vol.67, issue.4, pp.578-595, 2006.

P. Kundur, J. Paserba, V. Ajjarapu, G. Andersson, A. Bose et al., Alex Stankovic, Carson Tayloret al. Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions, IEEE transactions on Power Systems, vol.19, issue.5, pp.1387-1401, 2004.

K. Kvaternik and L. Pavel, Lyapunov analysis of a distributed optimization scheme, Network Games, Control and Optimization (NetGCooP) 5th International Conference on, pp.1-5, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00644455

G. Chr-larsen, H. A. Madsen, N. Troldborg, J. Torben, P. Larsen et al., TOPFARM-next generation design tool for optimisation of wind farm topology and operation, 2011.

J. Lavaei, H. Steven, and . Low, Zero Duality Gap in Optimal Power Flow Problem, IEEE Transactions on Power Systems, vol.27, issue.1, pp.92-107, 2012.
DOI : 10.1109/TPWRS.2011.2160974

URL : http://netlab.caltech.edu/publications/Lavaei-2012-OPF-TPS.pdf

]. Li, R. Challoo, J. Marty, and . Nemmers, Comparative study of DFIG power control using stator-voltage and stator-flux oriented frames, 2009 IEEE Power & Energy Society General Meeting, pp.1-8, 2009.
DOI : 10.1109/PES.2009.5275874

, On H ? and H 2 performance regions of multi-agent systems, Automatica, vol.47, issue.4, pp.797-803, 2011.

, Distributed robust control of linear multi-agent systems with parameter uncertainties, Bibliography International Journal of Control, vol.85, issue.8, pp.1039-1050, 2012.

]. Li, K. Tang, N. Mohammad, Z. Omidvar, K. Yang et al., Benchmark functions for the CEC 2013 special session and competition on large-scale global optimization, gene, vol.7, issue.33, pp.8-2013, 2013.

]. Li, W. Ren, X. Liu, and M. Fu, Distributed containment control of multi-agent systems with general linear dynamics in the presence of multiple leaders, International Journal of Robust and Nonlinear Control, vol.78, issue.16, pp.534-547, 2013.
DOI : 10.1080/00207170500324175

, Daniel Liberzon. Switching in systems and control, 2012.

Y. Peng-lin, J. Jia, F. Du, and . Yu, Distributed leaderless coordination for networks of second-order agents with time-delay on switching topology, American Control Conference, pp.1564-1569, 2008.

]. Lio, B. L. Jones, Q. Lu, and J. Rossiter, Fundamental performance similarities between individual pitch control strategies for wind turbines, International Journal of Control, vol.524, issue.1, pp.37-52, 2017.
DOI : 10.1049/iet-rpg.2012.0282

R. Marco-liserre, M. Cardenas, J. Molinas, and . Rodriguez, Overview of Multi-MW Wind Turbines and Wind Parks, IEEE Transactions on Industrial Electronics, vol.58, issue.4, pp.1081-1095, 2011.
DOI : 10.1109/TIE.2010.2103910

]. Liu, Y. Jia, J. Du, and S. Yuan, Dynamic output feedback control for consensus of multi-agent systems: an H ? approach, American Control Conference, pp.4470-4475, 2009.

]. Liu, Z. Cai, and Y. Wang, Hybridizing particle swarm optimization with differential evolution for constrained numerical and engineering optimization, Applied Soft Computing, vol.10, issue.2, pp.629-640, 2010.
DOI : 10.1016/j.asoc.2009.08.031

]. Liu, M. Benosman, and A. Raghunathan, Consensus-based distributed optimal power flow algorithm, 2015 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT), pp.1-5, 2015.
DOI : 10.1109/ISGT.2015.7131881

, IEEE, pp.113-114, 2015.

, Emmanouil Loukarakis, Ioannis Margaris and Panayiotis Moutis. Frequency control support and participation methods provided by wind generation, Electrical Power & Energy Conference, pp.1-6, 2009.

, Estimation of wind speed in connection to a wind turbine, 1995.

D. Madjidian, K. Mårtensson, and A. Rantzer, A distributed power coordination scheme for fatigue load reduction in wind farms, Proceedings of the 2011 American Control Conference, pp.5219-5224, 2011.
DOI : 10.1109/ACC.2011.5991399

, Sindri Magnússon, Pradeep Chathuranga Weeraddana and Carlo Fischione. A distributed approach for the optimal power-flow problem based on ADMM and sequential convex approximations, IEEE Transactions on Control of Network Systems, vol.2, issue.9, pp.238-253, 2015.

M. E. Sedigheh-mahdavi, S. Shiri, and . Rahnamayan, Metaheuristics in large-scale global continues optimization: A survey, Information Sciences, vol.295, pp.407-428, 2015.
DOI : 10.1016/j.ins.2014.10.042

R. Jason, . Marden, D. Shalom, . Ruben, Y. Lucy et al., A modelfree approach to wind farm control using game theoretic methods, IEEE Transactions on Control Systems Technology, vol.21, issue.9, pp.1207-1214, 2013.

J. Manuel-mauricio, A. Marano, A. Gómez-expósito, and J. Ramos, Frequency Regulation Contribution Through Variable-Speed Wind Energy Conversion Systems, IEEE Transactions on Power Systems, vol.24, issue.1, pp.173-180, 2009.
DOI : 10.1109/TPWRS.2008.2009398

A. Minaud, C. Gaudin, and L. Karsenti, Analysis of the options to reduce the integration costs of renewable generation in the distribution networks. Part 1: impact of PV development in france and global analysis of considered alternatives to reinforcement, 22nd International Conference and Exhibition on Electricity Distribution (CIRED 2013), 2013.
DOI : 10.1049/cp.2013.1106

D. Monaco and . Normand-cyrot, Zero dynamics of sampled nonlinear systems, Systems & Control Letters, vol.11, issue.3, pp.229-234, 1988.
DOI : 10.1016/0167-6911(88)90063-1

S. Monaco and D. Normand-cyrot, Issues on Nonlinear Digital Control, European Journal of Control, vol.7, issue.2-3, pp.160-177, 2001.
DOI : 10.3166/ejc.7.160-177

J. Morren, W. Sjoerd, . De-haan, L. Wil, J. Kling et al., Wind Turbines Emulating Inertia and Supporting Primary Frequency Control, IEEE Transactions on Power Systems, vol.21, issue.1, pp.433-434, 2006.
DOI : 10.1109/TPWRS.2005.861956

URL : https://repository.tudelft.nl/islandora/object/uuid%3Af88faac1-41dc-4d84-9e9b-d5ea18dd0dd6/datastream/OBJ/download

, Wind Atlas Analysis and Application program (WAsP: Getting started, 1998.

]. Navarro, E. D. Mario, and A. Martinoli, Distributed Particle Swarm Optimization - particle allocation and neighborhood topologies for the learning of cooperative robotic behaviors, 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp.2958-2965, 2015.
DOI : 10.1109/IROS.2015.7353785

, Angelia Nedic and Asuman Ozdaglar Distributed subgradient methods for multi-agent optimization, IEEE Transactions on Automatic Control, vol.54, issue.1, pp.48-61, 2009.

M. Nevistic and . Morari, Constrained control of feedbacklinearizable systems, Proc. 3rd European Control Conference ECC'95, pp.1726-1731, 1995.

K. Oh, L. Kevin, H. Moore, and . Ahn, Disturbance Attenuation in a Consensus Network of Identical Linear Systems: An <formula formulatype="inline"><tex Notation="TeX">$ {\cal H}_{\infty }$</tex></formula> Approach, IEEE Transactions on Automatic Control, vol.59, issue.8, pp.2164-2169, 2014.
DOI : 10.1109/TAC.2013.2297187

R. Olfati-saber, A. Fax, M. Richard, and . Murray, Consensus and Cooperation in Networked Multi-Agent Systems, Proceedings of the IEEE, vol.95, issue.1, pp.215-233, 2007.
DOI : 10.1109/JPROC.2006.887293

Z. Kasper, P. Østergaard, J. Brath, and . Stoustrup, Estimation of effective wind speed, Journal of Physics: Conference Series, p.12082, 2007.

L. Ou, J. Chen, D. Zhang, L. Zhang, and W. Zhang, Distributed H ??? PID Feedback for Improving Consensus Performance of Arbitrary-delayed Multi-agent System, International Journal of Automation and Computing, vol.54, issue.1, pp.189-196, 2014.
DOI : 10.1109/TAC.2008.2009574

URL : https://link.springer.com/content/pdf/10.1007%2Fs11633-014-0780-y.pdf

W. Liu, Q. Li, and . Gao, Consensus analysis for a class of stochastic PSO algorithm, Applied Soft Computing, vol.23, pp.567-578, 2014.

P. Jinkyoo, H. Kincho, and . Law, Cooperative wind turbine control for maximizing wind farm power using sequential convex programming. Energy Conversion and Management, pp.295-316, 2015.

P. Jinkyoo, H. Kincho, and . Law, Layout optimization for maximizing wind farm power production using sequential convex programming, Applied Energy, vol.151, pp.320-334, 2015.

P. Jinkyoo, H. Kincho, and . Law, A data-driven, cooperative wind farm control to maximize the total power production, Applied Energy, vol.165, issue.130, pp.151-165, 2016.

A. Peña, P. Réthoré, and O. Rathmann, Modeling large offshore wind farms under different atmospheric stability regimes with the Park wake model, Renewable Energy, vol.70, pp.164-171, 2014.
DOI : 10.1016/j.renene.2014.02.019

. Penarrocha, N. Dolz, R. Aparicio, and . Sanchis, Synthesis of nonlinear controller for wind turbines stability when providing grid support, International Journal of Robust and Nonlinear Control, vol.53, issue.2, pp.2261-2284, 2014.
DOI : 10.1109/TAC.2007.914221

]. Peng, H. Steven, and . Low, Distributed Optimal Power Flow Algorithm for Balanced Radial Distribution Networks. arXiv preprint, 2014.
DOI : 10.1109/tsg.2016.2546305

URL : http://arxiv.org/pdf/1404.0700

, Abram Perdana Dynamic models of wind turbines, 2008.

, Tomas Petru and Torbjörn Thiringer. Modeling of wind turbines for power system studies, IEEE transactions on Power Systems, vol.17, issue.4, pp.1132-1139, 2002.

A. Markus and . Poller, Doubly-fed induction machine models for stability assessment of wind farms, Power Tech Conference Proceedings, pp.29-36, 2003.

, Sequential versus parallel cooperative coevolutionary algorithms for optimization, Evolutionary Computation, pp.1610-1617, 2006.

A. Mitchell, K. Potter, and . Jong, A cooperative coevolutionary approach to function optimization, International Conference on Parallel Problem Solving from Nature, pp.249-257, 1994.

T. Gregorio, C. Pulido, and . Coello, A constrainthandling mechanism for particle swarm optimization, Evolutionary Computation CEC2004. Congress on, pp.1396-1403, 2004.

N. Ramtharan, J. Jenkins, and . Ekanayake, Frequency support from doubly fed induction generator wind turbines, IET Renewable Power Generation, vol.1, issue.1, pp.3-9, 2007.
DOI : 10.1049/iet-rpg:20060019

]. , B. Rawlings, Q. David, and . Mayne, Model predictive control: Theory and design, p.22, 2009.

. Wei-ren, W. Randal, and . Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, vol.50, issue.5, pp.655-661, 2005.
DOI : 10.1109/TAC.2005.846556

, Multi-vehicle consensus with a time-varying reference state, Systems & Control Letters, vol.56, issue.7, pp.474-483, 2007.

. Wei-ren, W. Randal, and . Beard, Distributed consensus in multi-vehicle cooperative control, p.169, 2008.

, Scalable parallel genetic algorithms, Artificial intelligence review, vol.16, issue.2, pp.153-168, 2001.

]. Sandou, G. Duc, and D. Beauvois, Optimisation par essaim particulaire du réglage d'un correcteur H-infini, 5ème Conférence Internationale Francophone d'Automatique, pages CD?ROM, 2008.

J. Schiffer, T. Seel, J. Raisch, and T. Sezi, Voltage Stability and Reactive Power Sharing in Inverter-Based Microgrids With Consensus-Based Distributed Voltage Control, IEEE Transactions on Control Systems Technology, vol.24, issue.1, pp.96-109
DOI : 10.1109/TCST.2015.2420622

F. Jaco, . Schutte, A. Jeffrey, . Reinbolt, J. Benjamin et al., Parallel global optimization with the particle swarm algorithm, International journal for numerical methods in engineering, vol.61, issue.13, pp.2296-2315, 2004.

K. Sedlaczek and P. Eberhard, Constrained particle swarm optimization of mechanical systems, Proceedings of the 6th WCSMO, 2005.

M. Soleimanzadeh and R. Wisniewski, Wind speed dynamical model in a wind farm, IEEE ICCA 2010, pp.2246-2250, 2010.
DOI : 10.1109/ICCA.2010.5524174

]. Soleimanzadeh, R. Wisniewski, and S. Kanev, An optimization framework for load and power distribution in wind farms, Journal of Wind Engineering and Industrial Aerodynamics, vol.107, issue.108, pp.256-262, 2012.
DOI : 10.1016/j.jweia.2012.04.024

M. Jelavic, M. Baotic, and N. Peric, Hierarchical wind farm control for power/load optimization. The science of making torque from wind, 2010.

, Cooperative distributed model predictive control for wind farms, Optimal Control Applications and Methods, vol.36, issue.10, pp.333-352, 2015.

J. Su and . Huang, Two consensus problems for discrete-time multi-agent systems with switching network topology, Automatica, vol.48, issue.9, pp.1988-1997, 2012.
DOI : 10.1016/j.automatica.2012.03.029

X. Andy, . Sun, T. Dzung, S. Phan, and . Ghosh, Fully decentralized AC optimal power flow algorithms, Power and Energy Society General Meeting (PES), 2013 IEEE, pp.1-5, 2013.

S. Sundhar-ram, . Nedi?, V. Venugopal, and . Veeravalli, A new class of distributed optimization algorithms: application to regression of distributed data, Optimization Methods and Software, vol.27, issue.1, pp.71-88
DOI : 10.1007/978-3-540-45231-7_50

N. Kuo-lung-lian, T. Yang, and . Chen, A distribution power flow using particle swarm optimization, 2012 IEEE Power and Energy Society General Meeting, pp.1-7, 2012.
DOI : 10.1109/PESGM.2012.6343939

C. Germán, P. C. Tarnowski, . Kjar, E. Poul, J. Sorensen et al., Variable speed wind turbines capability for temporary over-production, Power & Energy Society General Meeting, pp.1-7, 2009.

, Sven Creutz Thomsen Nonlinear control of a wind turbine Master's thesis, Bibliography, vol.33, pp.29-46, 2006.

J. Tian, C. Su, M. Soltani, and Z. Chen, Active power dispatch method for a wind farm central controller considering wake effect, IECON 2014, 40th Annual Conference of the IEEE Industrial Electronics Society, pp.5450-5456, 2014.
DOI : 10.1109/IECON.2014.7049333

S. Tomlin and . Sastry, Switching through singularities, Systems & Control Letters, vol.35, issue.3, pp.145-154, 1998.
DOI : 10.1016/S0167-6911(98)00046-2

, Ioan Cristian Trelea. The particle swarm optimization algorithm: convergence analysis and parameter selection, Information processing letters, vol.85, issue.6, pp.317-325, 2003.

A. Ulbig, S. Theodor, G. Borsche, and . Andersson, Analyzing Rotational Inertia, Grid Topology and their Role for Power System Stability, IFAC-PapersOnLine, vol.48, issue.30, pp.541-547, 2015.
DOI : 10.1016/j.ifacol.2015.12.436

P. Andries and . Engelbrecht, A new locally convergent particle swarm optimiser, IEEE International Conference on, p.6, 2002.

, Frans Van den Bergh and Andries Petrus Engelbrecht. A cooperative approach to particle swarm optimization, IEEE transactions on evolutionary computation, vol.8, issue.97, pp.225-239, 2004.

P. Venne and X. Guillaud, Impact of wind turbine controller strategy on deloaded operation, Integration of Wide-Scale Renewable Resources Into the Power Delivery System, pp.1-1, 2009.

G. Venter and J. Sobieszczanski-sobieski, Parallel Particle Swarm Optimization Algorithm Accelerated by Asynchronous Evaluations, Journal of Aerospace Computing, Information, and Communication, vol.3, issue.3, pp.123-137, 2006.
DOI : 10.2514/6.2000-4819

G. Venter and R. Haftka, Constrained particle swarm optimization using a bi-objective formulation. Structural and Multidisciplinary Optimization, pp.65-76, 2010.

Y. Wakasa and S. Nakaya, Distributed particle swarm optimization using an average consensus algorithm, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2661-2666, 2015.
DOI : 10.1109/CDC.2015.7402617

Y. Wakasa and S. Yamasaki, Distributed Particle Swarm Optimization Based on Primal-Dual Decomposition Architectures, Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications The ISCIE Symposium on Stochastic Systems Theory and Its Applications, pp.97-101, 2015.
DOI : 10.5687/sss.2015.97

]. Wang and N. Elia, Control approach to distributed optimization, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp.557-561, 2010.
DOI : 10.1109/ALLERTON.2010.5706956

]. Wang and N. Elia, A control perspective for centralized and distributed convex optimization, IEEE Conference on Decision and Control and European Control Conference, pp.3800-3805, 2011.
DOI : 10.1109/CDC.2011.6161503

W. Liyong and L. Gao, H ? Consensus Control for Discrete- Time Multi-Agent Systems with Switching Topology, Procedia Engineering, vol.15, pp.601-607, 2011.

W. Shu and P. Seiler, Gain scheduled active power control for wind turbines, AIAA Atmospheric Flight Mechanics Conference, 2014.

W. Xiaoping and J. Shao, Consensus for Discrete-Time Multiagent Systems, Discrete Dynamics in Nature and Society, p.2015, 2015.

. Wannakarn, S. Khamsawang, S. Pothiya, and . Jiriwibhakorn, Optimal power flow problem solved by using distributed Sobol particle swarm optimization, Electrical Engineering/Electronics Computer Telecommunications and Information Technology 2010 International Conference on, pp.445-449, 2010.

, Evolutionary optimization: Pitfalls and booby traps, Journal of Computer Science and Technology, vol.27, issue.5, pp.907-936, 2012.

]. Weiss, C. Danielson, K. Berntorp, I. Kolmanovsky, and S. D. Cairano, Motion planning with invariant set trees, 2017 IEEE Conference on Control Technology and Applications (CCTA), pp.1625-1630, 2017.
DOI : 10.1109/CCTA.2017.8062689

P. Wiegand, An analysis of cooperative coevolutionary algorithms, Bibliography, pp.95-97, 2003.

Z. Wu, A. Iqbal, and F. B. Amara, LMI-Based Multivariable PID Controller Design and its Application to the Control of the Surface Shape of Magnetic Fluid Deformable Mirrors, IEEE Transactions on Control Systems Technology, vol.19, issue.4, pp.717-729, 2011.
DOI : 10.1109/TCST.2010.2055566

, Consensus problems for highorder linear time-invariant swarm systems, Physica A: Statistical Mechanics and its Applications, vol.389, issue.24, pp.5619-5627, 2010.

, Output consensus analysis and design for high-order linear swarm systems: partial stability method, Automatica, vol.48, issue.9, pp.2335-2343, 2012.

G. Zhou, Y. Yan-rong, and . Zhang, Partial stability approach to consensus problem of linear multi-agent systems

, Acta Automatica Sinica, vol.40, issue.11, pp.2573-2584, 2014.

, Large scale evolutionary optimization using cooperative coevolution, Information Sciences, vol.178, issue.15, pp.2985-2999, 2008.

, Xue Yingcheng and Tai Nengling Review of contribution to frequency control through variable speed wind turbine, Renewable Energy, vol.36, issue.8, pp.1671-1677, 2011.

, Network topology and communication data rate for consensusability of discrete-time multi-agent systems, IEEE Transactions on Automatic Control, vol.56, issue.10, pp.2262-2275, 2011.

G. ?ertek, M. Verbi?, and . Panto?, Optimised control approach for frequency-control contribution of variable speed wind turbines. IET Renewable power generation, pp.17-23, 2012.

A. Zertek, G. Verbic, and M. Pantos, A Novel Strategy for Variable-Speed Wind Turbines' Participation in Primary Frequency Control, IEEE Transactions on Sustainable Energy, vol.3, issue.4, pp.791-799
DOI : 10.1109/TSTE.2012.2199773

Z. Fu and B. Fernandez-rodriguez, Feedback linearization control of systems with singularities: a ball-beam revisit, Proc. of the Int. Conf. on Complex Systems, 2006.

]. Zhang, Y. Xu, W. Liu, F. Ferrese, and L. Liu, Fully Distributed Coordination of Multiple DFIGs in a Microgrid for Load Sharing, IEEE Transactions on Smart Grid, vol.4, issue.2, pp.806-815, 0190.
DOI : 10.1109/TSG.2012.2234149

]. Zhang and J. Kwok, Asynchronous distributed ADMM for consensus optimization, International Conference on Machine Learning, pp.1701-1709, 2014.