Synth\`ese non quadratique H$\infty$ de contr\^oleurs d\'ecentralis\'es pour un ensemble de descripteurs flous T-S interconnect\'es

TL;DR

This paper presents a novel non-quadratic H∞ decentralized control method for interconnected Takagi-Sugeno fuzzy systems, ensuring stability and minimizing interconnection effects through LMIs.

Contribution

It introduces a non-quadratic fuzzy Lyapunov approach to design decentralized controllers for interconnected fuzzy systems using H∞ criteria.

Findings

Sufficient conditions for stability are derived from LMIs.

The proposed method effectively stabilizes interconnected fuzzy systems.

Numerical example demonstrates the approach's efficiency.

Abstract

This paper deals with the non-quadratic decentralized stabilization of a set of n Takagi-Sugeno descriptors. To ensure the stability of the whole closed-loop dynamics and to minimize interconnection effects between subsystems, the main result allows designing a network of non Parallel Distributed Compensation control laws via a H $\infty$ criterion. Sufficient conditions, obtained from a non quadratic fuzzy Lyapunov approach, are provided in terms of Linear Matrix Inequalities. Finally, a numerical example illustrates the efficiency of the proposed decentralized control approach.