Sliding mode control for uncertain chaotic systems with input nonlinearity

被引:43
作者
Li, Juntao [1 ]
Li, Wenlin [1 ]
Li, Qiaoping [2 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
[2] Henan Inst Sci & Technol, Dept Math, Xinxiang, Henan Province, Peoples R China
基金
中国国家自然科学基金;
关键词
Unified chaotic system; Uncertainty; Input nonlinearity; Sliding mode control; ADAPTIVE SYNCHRONIZATION; DESIGN;
D O I
10.1016/j.cnsns.2011.04.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For the sliding mode controller of uncertain chaotic systems subject to input nonlinearity, the upper bound of the norm of uncertainties is commonly used to determine the controller parameter. However, this will cause serious chattering. In order to overcome this drawback, two new sliding mode controllers are proposed to ensure robust synchronization for a classes of chaotic systems with input nonlinearities and external uncertainty. Compared with the existing results, the proposed controllers can effectively reduce the chattering nearby sliding mode and improve the dynamic performance of the systems. Simulation results are provided to verify the proposed methods. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:341 / 348
页数:8
相关论文
共 17 条
[1]  
[Anonymous], 1992, NONLINEAR SYSTEMS
[2]   LMI criteria for robust chaos synchronization of a class of chaotic systems [J].
Chen, Fengxiang ;
Zhang, Weidong .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (12) :3384-3393
[3]   CANONICAL REALIZATION OF CHUA CIRCUIT FAMILY [J].
CHUA, LO ;
LIN, GN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (07) :885-902
[4]   HARMONIC-BALANCE METHODS FOR THE ANALYSIS OF CHAOTIC DYNAMICS IN NONLINEAR-SYSTEMS [J].
GENESIO, R ;
TESI, A .
AUTOMATICA, 1992, 28 (03) :531-548
[5]   Synchronization of the unified chaotic system and application in secure communication [J].
Grzybowski, J. M. V. ;
Rafikov, M. ;
Balthazar, J. M. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) :2793-2806
[6]   Adaptive variable structure control design for uncertain time-delayed systems with nonlinear input [J].
Hsu, KC .
DYNAMICS AND CONTROL, 1998, 8 (04) :341-354
[7]   Robust adaptive synchronization of Rossler and Chen chaotic systems via slide technique [J].
Li, Z ;
Shi, SJ .
PHYSICS LETTERS A, 2003, 311 (4-5) :389-395
[8]   Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller [J].
Lin, Jui-Sheng ;
Yan, Jun-Juh .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) :1151-1159
[9]   Chaotic synchronization with experimental application to secure communications [J].
Nana, B. ;
Woafo, P. ;
Domngang, S. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) :2266-2276
[10]   Adaptive synchronization of two chaotic systems with stochastic unknown parameters [J].
Salarieh, Hassan ;
Alasty, Aria .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) :508-519