Local H∞ Control for Continuous-Time T-S Fuzzy Systems via Generalized Non-Quadratic Lyapunov Functions

被引：2
|
作者：
Hu, Guolin [1 ]
Zhang, Jian [1 ]
Yan, Zhiguo [1 ]
机构：
[1] Qilu Univ Technol, Sch Informat & Automat, Shandong Acad Sci, Jinan 250353, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 19期
基金：
中国国家自然科学基金;
关键词：
generalized non-quadratic Lyapunov function; T-S fuzzy system; feedback controller; H infinity performance; TAKAGI-SUGENO MODELS; OBSERVER DESIGN; SUFFICIENT CONDITIONS; STABILIZATION; STABILITY;
D O I：
10.3390/math10193438
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper further develops a relaxed method to reduce conservatism in H infinity feedback control for continuous-time T-S fuzzy systems via a generalized non-quadratic Lyapunov function. Different from the results of some exisiting works, the generalized H infinity state feedback controller is designed. The relaxed stabilization conditions are obtained by applying Finsler's lemma with the homogenous polynomial multipliers, and the H infinity performance is acquired by solving an optimization problem. In addition, the proposed method could be expanded to handle other control problems for fuzzy systems. Two examples are given to show the validity of the proposed results.
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页数：13
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