Passivity analysis and passive control of fuzzy systems with time-varying delays

被引：62

作者：

Zhang, Baoyong ^{[1
,2
]}

Zheng, Wei Xing ^{[1
]}

Xu, Shengyuan ^{[2
]}

机构：

[1] Univ Western Sydney, Sch Comp & Math, Penrith, NSW 1797, Australia

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2011年 / 174卷 / 01期

基金：

美国国家科学基金会; 澳大利亚研究理事会;

关键词：

Delay-dependent conditions; Passive control; Takagi-Sugeno (T-S) fuzzy systems; Time-varying delays; Very-strict passivity; H-INFINITY CONTROL; OUTPUT-FEEDBACK CONTROL; ROBUST STABILIZATION; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; CONTROL DESIGN; PASSIFICATION; LMI; STATE; MODELS;

D O I：

10.1016/j.fss.2011.02.021

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper is concerned with the passive controller design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. The delays are assumed to be time-varying and differentiable. A notion of very-strict passivity is adopted. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is very-strictly passive (VSP). Delay-dependent conditions for the solvability of the addressed problem are obtained by applying recently developed techniques for time-delay systems and fuzzy systems. These conditions are expressed by means of strict linear matrix inequalities (wLMIs) that can be easily solved. A numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method. (C) 2011 Elsevier B.V. All dens reserved.

引用

页码：83 / 98

页数：16

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