A Delay Decomposition Approach to Delay-Dependent Robust Passive Control for Takagi-Sugeno Fuzzy Nonlinear Systems

被引：10

作者：

Balasubramaniam, P. ^{[1
]}

Nagamani, G. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2012年 / 31卷 / 04期

关键词：

Linear matrix inequalities (LMIs); Lyapunov-Krasovskii functional; Nonlinear systems; Passive control; Time-varying delays; TIME-VARYING DELAY; LINEAR-SYSTEMS; STABILITY; STABILIZATION; PASSIFICATION;

D O I：

10.1007/s00034-011-9384-8

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper is concerned with the problem of delay-dependent robust passive control for a fuzzy nonlinear system with time-varying delays. A Takagi-Sugeno fuzzy model approach is exploited to design a passive control for nonlinear systems with time-varying delay. By decomposing the delay interval into multiple equidistant subintervals, new Lyapunov-Krasovskii functionals (LKFs) are constructed on these intervals. Employing these new LKFs, a new robust passive control criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of the time delay. We also design a state feedback controller that guarantees a robustly strictly passive closed-loop system for all admissible uncertainties. Finally, two numerical examples are given to illustrate the effectiveness of the developed techniques.

引用

页码：1319 / 1341

页数：23

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