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arXiv · 1902.06445

Decentralized Static Output Feedback Controller Design for Large Scale Switched T-S Systems

Dalel Jabri·Djamel Chouaib Belkhiat·Kevin Guelton·Noureddine Manamanni
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Abstract

This paper investigates the design of decentralized output-feedback controllers for a class of a 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. Then, in order to stabilize the overall closed-loop system, a set of switched non-PDC static output controllers is employed. The latter is designed based on Linear Matrix Inequality (LMI) conditions obtained from a multiple switched non quadratic-like Lyapunov candidate function. The controllers proposed herein are synthesized to satisfy $H_\infty$ performance for disturbance attenuation. Finally, a numerical example is proposed to illustrate the effectiveness of the suggested decentralized switched controller design approach. Keywords-Switched fuzzy system, Decentralized control, Static output feedback non-PDC control law, Arbitrary switching laws, Multiple switched non quadratic-like Lyapunov function.

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Dalel Jabri, Djamel Chouaib Belkhiat, Kevin Guelton, Noureddine Manamanni. 2019-02-18. Decentralized Static Output Feedback Controller Design for Large Scale Switched T-S Systems. https://arxiv.org/abs/1902.06445

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