Decentralized Controller Design for Large Scale Switched Takagi-Sugeno Systems with H∞ Performance Specifications

Dalel Jabri (1) , Djamel Eddine Chouaib Belkhiat (2) , Kevin Guelton (3) , Noureddine Manamanni (3)

1 Modélisation, Analyse et Commande de Systèmes - MACS (Gabès, Tunisie)
2 UFAS1 - Université Ferhat-Abbas Sétif 1 [Sétif]
3 CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804

This paper investigates the design of decentralized controllers for a class of large scale switched nonlinear systems under arbitrary switching laws. A global large scale switched system can be split into a set of smaller interconnected switched Takagi-Sugeno fuzzy subsystems. In this context, to stabilize the overall closed-loop system, a set of switched non-PDC output-feedback controllers is considered. The latter is designed based on Linear Matrix Inequalities (LMI) conditions obtained from a multiple switched non-quadratic Lyapunov-like candidate function. The controllers proposed herein are synthesized to satisfy H  performances for disturbance attenuation. Finally, a numerical example is proposed to illustrate the effectiveness of the suggested decentralized switched controller design approach.

Mots clés: Large Scale Switched Fuzzy System; Decentralized non-PDC Controllers; Arbitrary Switching Laws

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique; Automatique; Intelligence artificielle [cs.AI]

Dalel Jabri, Djamel Eddine Chouaib Belkhiat, Kevin Guelton, Noureddine Manamanni. Decentralized Controller Design for Large Scale Switched Takagi-Sugeno Systems with H∞ Performance Specifications. Journal of Advanced Engineering and Computation, 2018, 2 (2), ⟨10.25073/jaec.201822.187⟩. ⟨hal-01898631⟩