H∞ Observer Design for Continuous-Time Takagi-Sugeno Fuzzy Model With Unknown Premise Variables via Nonquadratic Lyapunov Function

被引：49

作者：

Wang, Li Kui ^{[1
]}

Zhang, Hua Guang ^{[2
,3
]}

Liu, Xiao Dong ^{[4
]}

机构：

[1] Nanchang Hangkong Univ, Sch Math & Informat Sci, Nanchang 330063, Peoples R China

[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China

[3] Northeastern Univ, Natl Educ Minist, Key Lab Integrated Automat Proc Ind, Shenyang 110004, Peoples R China

[4] Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116024, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2016年 / 46卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Linear matrix inequality; nonparallel distributed compensation law; observer design; Takagi-Sugeno's (T-S) fuzzy model; unknown premise variables; NONLINEAR-SYSTEMS; STABILIZATION CONDITIONS; CONTROLLER DESIGNS; STABILITY;

D O I：

10.1109/TCYB.2015.2459016

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 deals with the problem of observer design for continuous-time Takagi-Sugeno fuzzy models with unmeasurable premise variables. First, in order to improve the existing results of observer design, a new method is proposed to bound the time derivatives of the membership function. Then, by applying the nonquadratic Lyapunov function and the matrix decoupling technique, the controller gains and observer gains are designed to guarantee that the error system is asymptotically stale. Furthermore, better H-infinity performance can be obtained by solving an optimization problem. All of the results are presented as linear matrices inequalities and three examples are provided to demonstrate the merits of the proposed approach.

引用

页码：1986 / 1996

页数：11

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