Non-fragile observer-based passive control for uncertain time delay systems subjected to input nonlinearity

被引：28
作者：
Liu, Leipo [1 ,2 ]
Han, Zhengzhi [1 ]
Li, Wenlin [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Elect & Informat Engn, Shanghai 200240, Peoples R China
[2] Henan Univ Sci & Technol, Coll Elect & Informat Engn, Luoyang 471003, Peoples R China
[3] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Passive control; Sliding mode control; Time delay systems; Chattering reduction; Linear matrix inequality; SLIDING MODE CONTROL; UNIFIED CHAOTIC SYSTEMS; DEAD-ZONE; SYNCHRONIZATION; DESIGN;
D O I：
10.1016/j.na.2010.06.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of non-fragile observer-based passive control for uncertain time delay systems subjected to input nonlinearity is investigated by using sliding mode control. A novel control law is established such that the sliding surface in the state-estimation space can be reached in a finite time and chattering reduction is obtained. A sufficient condition for passivity and asymptotic stability of the combined system is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to show the validity and advantages of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2603 / 2610
页数：8
相关论文
共 21 条
[1]   Optimal passive control of adjacent structures interconnected with nonlinear hysteretic devices [J].
Basili, M. ;
De Angelis, M. .
JOURNAL OF SOUND AND VIBRATION, 2007, 301 (1-2) :106-125
[2]   Robust adaptive single neural control for a class of uncertain nonlinear systems with input nonlinearity [J].
Chang, WD .
INFORMATION SCIENCES, 2005, 171 (1-3) :261-271
[3]   Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity [J].
Chiang, Tsung-Ying ;
Lin, Jui-Sheng ;
Liao, Teh-Lu ;
Yan, Jun-Juh .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) :2629-2637
[4]   Sliding mode control for uncertain unified chaotic systems with input nonlinearity [J].
Chiang, Tsung-Ying ;
Hung, Meei-Ling ;
Yan, Jun-Juh ;
Yang, Yi-Sung ;
Chang, Jen-Fuh .
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) :437-442
[5]   Observer-based passive control of linear time-delay systems with parametric uncertainty [J].
Cui, Bao Tong ;
Hua, Mingang .
CHAOS SOLITONS & FRACTALS, 2007, 32 (01) :160-167
[6]   On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays [J].
De la Sen, M. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) :382-401
[7]   Low-gain integral control of continuous-time linear systems subject to input and output nonlinearities [J].
Fliegner, T ;
Logemann, H ;
Ryan, EP .
AUTOMATICA, 2003, 39 (03) :455-462
[8]   Variable structure control design for uncertain dynamic systems with sector nonlinearities [J].
Hsu, KC .
AUTOMATICA, 1998, 34 (04) :505-508
[9]   Projective synchronization of Chua's chaotic systems with dead-zone in the control input [J].
Hung, Yung-Ching ;
Yan, Jun-Juh ;
Liao, Teh-Lu .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 77 (04) :374-382
[10]   Adaptive variable structure control for chaos suppression of unified chaotic systems [J].
Hung, Yung-Ching ;
Liao, Teh-Lu ;
Yan, Jun-Juh .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) :391-398
123