Fuzzy model-based decentralized robust piecewise static output feedback control for discrete-time large-scale nonlinear systems

Abstract

This paper investigates the problem of decentralized robust output feedback H∞ control for a class of discrete-time large-scale nonlinear systems. The considered large-scale system consists of several nonlinear subsystems with interconnections and parametric uncertainties, and each nonlinear subsystem is represented by a Takagi–Sugeno (T–S) model. Our objective is to design a decentralized robust piecewise static output feedback (SOF) controller such that the closed-loop fuzzy control system is asymptotically stable with an H∞ disturbance attenuation level. Based on a piecewise Lyapunov function combined with some matrix inequality linearization techniques, and the descriptor system approach, sufficient conditions on the existence of a decentralized piecewise SOF H∞ controller are derived for the underlying large-scale T–S fuzzy system in terms of linear matrix inequalities. The effectiveness of the obtained results in this paper is validated by two numerical examples.