Quadratic optimal synchronization of uncertain chaotic systems

被引：14
作者：
Chen, Chaio-Shiung [1 ]
机构：
[1] DaYeh Univ, Dept Mech & Automat Engn, Dacun 51591, Changhua, Taiwan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 24期
关键词：
Chaos synchronization; H-infinity synchronization; Quadratic optimal control; Robust control; H-INFINITY SYNCHRONIZATION; PARAMETERS; CRITERION;
D O I：
10.1016/j.amc.2011.05.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the quadratic optimal synchronization of uncertain chaotic systems with parameter mismatch, parametric perturbations and external disturbances on both master and slave systems. A robust control scheme based on Lyapunov stability theory and quadratic optimal control approach is derived to realize chaotic synchronization. The sufficient criterion for stability condition is formulated in a linear matrix inequality (LMI) form. The effect of uncertain parameters and external disturbance is suppressed to an H 1 norm constraint. An adaptive algorithm is proposed to adjust the uncertain bound in the robust controller avoiding the chattering phenomena. The simulation results for synchronization of the Chua's circuit system and the Lorenz system demonstrate the effectiveness of the proposed scheme. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：10377 / 10386
页数：10
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