Non-fragile observer-based sliding mode control for Markovian jump systems with mixed mode-dependent time delays and input nonlinearity

被引：33

作者：

Gao, Lijun ^{[1
]}

Wang, Dandan ^{[1
]}

Wu, Yuqiang ^{[1
]}

机构：

[1] Qufu Normal Univ, Dept Elect Engn & Automat, Rizhao 276826, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷

关键词：

Markovian jump systems; Input nonlinearity; Mode-dependent delays; Sliding mode control; H-INFINITY CONTROL; UNCERTAIN DYNAMIC-SYSTEMS; LINEAR-SYSTEMS; ROBUST STABILITY; ADAPTIVE-CONTROL; CONTROL DESIGN; STABILIZATION; SYNCHRONIZATION; DISCRETE; SUBJECT;

D O I：

10.1016/j.amc.2013.12.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the state estimation and the sliding mode control (SMC) for a class of Markovian jump systems with mixed mode-dependent time delays and input nonlinearity. Anon-fragile observer is designed to estimate the system states, and an observer-based SMC is synthesized to ensure the reachability of the sliding surfaces in the state-estimation space. By constructing a novel mode-dependent Lyapunov-Krasovskii functional, some new criteria are established for the existence and the solvability of the desired observer-based sliding mode controller. Finally, numerical examples are presented to illustrate the effectiveness and less conservativeness of the proposed theoretical results. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：374 / 395

页数：22

共 54 条

[1] Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays [J].

Balasubramaniam, P. ;

Krishnasamy, R. ;

Rakkiyappan, R. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) :3612-3627

[2] Stability of a random diffusion with linear drift [J].

Basak, GK ;

Bisi, A ;

Ghosh, MK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) :604-622

[3]

Boukas E.-K., 2007, Stochastic switching systems: analysis and design

[4] Delay-dependent stability and output feedback stabilisation of Markov jump system with time-delay [J].

Boukas, EK ;

Liu, ZK ;

Shi, P .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2002, 149 (05) :379-386

[5] Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays [J].

Boukas, EK ;

Liu, ZK .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 109 (03) :587-600

[6]

Cao YY, 2004, P AMER CONTR CONF, P4183

[7] Delay-dependent stochastic stability and H∞ analysis for time-delay systems with Markovian jumping parameters [J].

Cao, YY ;

Lam, J ;

Hu, LS .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2003, 340 (6-7) :423-434

[8] 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

[9] Exponential stabilization using sliding mode control for singular systems with time-varying delays and nonlinear perturbations [J].

Ding, Yucai ;

Zhu, Hong ;

Zhong, Shouming .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (10) :4099-4107

[10] 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

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