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

Dalel Jabri | Zendy; Djamel Eddine Chouaib Belkhiat | Zendy; Kevin Guelton | Zendy; Noureddine Manamanni | Zendy

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

Author(s) -

Dalel Jabri,

Djamel Eddine Chouaib Belkhiat,

Kevin Guelton,

Noureddine Manamanni

Publication year - 2018

Publication title -

journal of advanced engineering and computation

Language(s) - English

Resource type - Journals

ISSN - 2588-123X

DOI - 10.25073/jaec.201822.187

Subject(s) - control theory (sociology) , computer science , context (archaeology) , lyapunov function , controller (irrigation) , set (abstract data type) , decentralised system , nonlinear system , mathematical optimization , control (management) , mathematics , paleontology , physics , quantum mechanics , artificial intelligence , agronomy , biology , programming language

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 closedloop system, a set of switched non-ParallelDistributed-Compensation (non-PDC) outputfeedback 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 e ectiveness of the suggested decentralized switched controller design approach.

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