Asynchronous Decentralized Fuzzy Observer-Based Output Feedback Control of Nonlinear Large-Scale Systems

This paper is concerned with the problem of decentralized robust H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathscr {H}}}_{\infty }$$\end{document} output feedback control for a class of continuous-time nonlinear large-scale systems based on T–S fuzzy affine models. Based on a common quadratic Lyapunov function and piecewise quadratic Lyapunov functions, some new results are proposed to the asynchronous observer-based controller synthesis for T–S fuzzy affine large-scale systems with unmeasurable premise variables. The observer and controller gains can be attained through solving a set of linear matrix inequalities. Finally, two simulation examples are presented to verify the effectiveness of the proposed approaches.