Adaptive Control of Accumulative Error for Nonlinear Chaotic Systems

作     者：Fang-Fang Zhang Shu-Tang Liu Ke-Xin Liu 

作者机构：School of Electrical Engineering and Automation Qilu University of Technology College of Control Science and Engineering Shandong University 

出 版 物：《International Journal of Automation and computing》 (国际自动化与计算杂志（英文版）)

年 卷 期：2014年第11卷第5期

页      面：527-535页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported by National Nature Science Foundation of China(Nos.61273088,10971120 and 61001099) Nature Science Foundation of Shandong Province(No.ZR2010FM010) 

主　　题：Adaptive control accumulative error chaotic systems fixed point convergence Lipschitz coefficient 

摘      要：We present an adaptive control scheme of accumulative error to stabilize the unstable fixed point for chaotic systems which only satisfies local Lipschitz condition, and discuss how the convergence factor affects the convergence and the characteristics of the final control strength. We define a minimal local Lipschitz coefficient, which can enlarge the condition of chaos control. Compared with other adaptive methods, this control scheme is simple and easy to implement by integral circuits in practice. It is also robust against the effect of noise. These are illustrated with numerical examples.