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

TL;DR

This paper presents a decentralized static output feedback controller design for large-scale switched T-S systems, ensuring stability and disturbance attenuation using LMI-based conditions and a novel Lyapunov approach.

Contribution

It introduces a new LMI-based method for designing decentralized controllers for large-scale switched T-S systems with arbitrary switching laws.

Findings

Controllers stabilize the overall system under arbitrary switching.

The method achieves $H_$ performance for disturbance attenuation.

Numerical example demonstrates effectiveness of the proposed approach.

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.