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On quantization and sporadic measurements in control systems: stability, stabilization, and observer design

Francesco Ferrante 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : In this dissertation, two fundamental aspects arising in modern engineered control systems will be addressed: On the one hand, the presence of quantization in standard control loops. On the other hand, the state estimation in the presence of sporadic available measurements. These two aspects are addressed in two different parts. One of the main feature of this thesis consists of striving to derive computer-aided tools for the solution to the considered problems. Specifically, to meet this requirement, we revolve on a linear matrix inequalities (LMIs) approach. In the first part, we propose a set of LMI-based constructive Lyapunov-based tools for the analysis and the design of quantized control systems involving linear plants and linear controllers. The entire treatment revolves on the use of differential inclusions as modeling tools and on stabilization of compact sets as a stability notion. In the second part of the thesis, inspired by some of the classical observation schemes presented in the literature of sampled-data observers, we propose two observers to exponentially estimate the state of a linear system in the presence of sporadic measurements. In addition, building upon one of the two observers, an observer-based controller architecture is proposed to asymptotically stabilize a linear plant in the presence of sporadic sensing and actuation.
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https://tel.archives-ouvertes.fr/tel-01261508
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  • HAL Id : tel-01261508, version 2

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Francesco Ferrante. On quantization and sporadic measurements in control systems: stability, stabilization, and observer design. Mathematics [math]. ISAE - Institut Supérieur de l'Aéronautique et de l'Espace, 2015. English. ⟨tel-01261508v2⟩

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