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
收藏
页码：83 / 98
页数：16
相关论文
共 50 条
[31]   Delay-dependent robust stabilisation for a class of fuzzy bilinear systems with time-varying delays in state and control input [J].
Tsai, Shun-Hung .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (03) :187-201
[32]   Discrete T-S fuzzy systems with time-varying delays: a new discrete sliding mode control approach [J].
Ben Yazid, Yassine ;
Mehdi, Driss ;
Nouri, Ahmed Said .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (07) :2332-2339
[33]   Direct adaptive fuzzy control for nonlinear systems with time-varying delays [J].
Chen, Bing ;
Liu, Xiaoping ;
Liu, Kefu ;
Shi, Peng ;
Lin, Chong .
INFORMATION SCIENCES, 2010, 180 (05) :776-792
[34]   Improvement of reliable H∞ control for discrete-time fuzzy systems with time-varying delays [J].
Wang, Shenquan ;
Jiang, Yulian ;
Li, Yuanchun ;
Liu, Derong .
2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2016, :1167-1172
[35]   Analysis on Passivity for Uncertain Neural Networks with Time-Varying Delays [J].
Kwon, O. M. ;
Park, M. J. ;
Park, Ju H. ;
Lee, S. M. ;
Cha, E. J. .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[36]   Robust H∞ Control for Fuzzy Singularly Perturbed Systems with Disturbance Time-Varying Delays [J].
Yang Ziqi ;
Yang Dongsheng ;
Liu Zhaobing ;
Li Aiping ;
Liu Yuncheng .
PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, :700-704
[37]   Passivity analysis of discrete-time stochastic neural networks with time-varying delays [J].
Song, Qiankun ;
Liang, Jinling ;
Wang, Zidong .
NEUROCOMPUTING, 2009, 72 (7-9) :1782-1788
[38]   Robust passive control for uncertain discrete-time Fuzzy systems with time-varying delays via filtering design [J].
Qiu, Jiqing ;
Li, Jie ;
Lu, Kunfeng ;
Lu, Jiyong .
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, :794-799
[39]   Improved Results on Delay-Dependent Control for Uncertain Systems with Time-Varying Delays [J].
Raja, R. ;
Zhu, Quanxin ;
Samidurai, R. ;
Senthilraj, S. ;
Hu, Wei .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2017, 36 (05) :1836-1859
[40]   Reliable L1 control of positive switched systems with time-varying delays [J].
Xiang, Mei ;
Xiang, Zhengrong .
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
12345