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

被引:13
作者
Zhong, Zhixiong [1 ,2 ]
Chen, Chong [3 ]
Wei, Yanling [2 ]
Shao, Zhenhua [1 ,4 ]
机构
[1] Xiamen Univ Technol, High Voltage Key Lab Fujian Prov, Xiamen, Peoples R China
[2] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin, Peoples R China
[3] Fuzhou Univ, Sch Elect Engn & Automat, Fuzhou, Peoples R China
[4] Xi An Jiao Tong Univ, Sch Elect Engn, Xian, Peoples R China
关键词
Large-scale nonlinear systems; discrete-time Takagi-Sugeno (T-S) model; decentralized robust H-infinity control; piecewise Lyapunov function; static output feedback (SOF); VARYING DELAY; STABILITY ANALYSIS; AFFINE SYSTEMS; LMI APPROACH; STABILIZATION; DESIGN; OBSERVER; UNCERTAINTIES;
D O I
10.1080/03081079.2017.1299149
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper investigates the problem of decentralized robust output feedback H-infinity 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-infinity 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-infinity 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.
引用
收藏
页码:287 / 312
页数:26
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