Robust Decentralized Static Output-Feedback Control Design for Large-Scale Nonlinear Systems Using Takagi-Sugeno Fuzzy Models

This paper is concerned with the problem of robust decentralized output-feedback control for a class of continuous-time large-scale nonlinear systems. Each nonlinear subsystem, described by a Takagi–Sugeno model, involves in the interconnections and parametric uncertainties of the large-scale systems. The main focus of this paper is to design a robust decentralized static output-feedback (SOF) fuzzy controller, such that the resulting closed-loop system is asymptotically stable with a prescribed
$ \mathscr {H}_{\infty } $
disturbance attenuation level. Based on some matrix inequality linearization techniques and the descriptor system approach, sufficient conditions for the existence of a robust decentralized SOF
$ \mathscr {H}_{\infty }$
fuzzy controller are presented in terms of linear matrix inequalities. From different perspectives, the desired controller is designed to analyze the degree of conservatism induced by considering various limitations. The effectiveness and superiority of the proposed method are finally demonstrated by two numerical examples.