# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1902.06445