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：
澳大利亚研究理事会; 美国国家科学基金会;
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
收藏
页码：83 / 98
页数：16
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