H∞ control for discrete-time fuzzy descriptor systems

被引:6
|
作者
Hung-Jen Lee [1 ]
Shih-Wei Kau [1 ]
Ching-Hsiang Lee [1 ]
Lin Hong [1 ]
Hong-Zhi Yang [1 ]
Chun-Hsiung Fang [1 ]
机构
[1] Natl Kaohsiung Univ Appl Sci, Dept Elect Engn, Kaohsiung 807, Taiwan
关键词
linear matrix inequalities; T-S fuzzy discrete-time descriptor systems; H-infinity control; stability;
D O I
10.1109/ICSMC.2006.385110
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the problem of H-infinity control for T-S fuzzy discrete-time descriptor systems. Firstly, an analysis result for H-infinity control is derived and characterized by a set of linear matrix inequalities (LMIs). The derived analysis condition is then applied to design an H. fuzzy controller. In T-S fuzzy discrete-time descriptor systems, due to singularity of E-matrix, Schur complement cannot be applied to solve the nonlinear Lyapunov inequality anymore for H-infinity control. The difficulty is overcome by the approach proposed in this paper. Before this presentation, no result about the H-infinity control of T-S fuzzy discrete-time descriptor systems is available in the literature, the paper seems the first one to tackle it from the theoretical aspect.
引用
收藏
页码:5059 / +
页数:2
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