[1]傅桂元,李钟慎.一类参数未知混沌系统的自适应控制[J].华侨大学学报(自然科学版),2010,31(2):145-148.[doi:10.11830/ISSN.1000-5013.2010.02.0145]
　FU Gui-yuan,LI Zhong-shen.Adaptive Control for a Class of Chaotic Systems with Unknown Parameters[J].Journal of Huaqiao University(Natural Science),2010,31(2):145-148.[doi:10.11830/ISSN.1000-5013.2010.02.0145]
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一类参数未知混沌系统的自适应控制()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第2期
页码:
145-148
栏目:
出版日期:
2010-03-20

文章信息/Info

Title:
Adaptive Control for a Class of Chaotic Systems with Unknown Parameters
文章编号:
1000-5013(2010)02-0145-04
作者:
傅桂元; 李钟慎
华侨大学机电及自动化学院
Author(s):
FU Gui-yuan;  LI Zhong-shen
College of Mechanical Engineering and Automation, Huaqiao University, Quanzhou 362021, China
关键词:
混沌系统;  参数未知;  主动Backstepping方法;  自适应控制
Keywords:
chaotic systems;  parameters unknown;  active backstepping method;  adaptive control
分类号:
TP13
DOI:
10.11830/ISSN.1000-5013.2010.02.0145
文献标志码:
A
摘要:
基于主动的Backstepping控制方法,通过引入自适应控制,在线辨识系统的参数,设计自适应控制器; 对一类含有未知参数的混沌系统进行控制,使被控系统能够稳定到任意点.同时,基于Lyapunov稳定性理论,分析系统的稳定性.该控制方法对于具有严格参数反馈形式的系统,以及非严格参数反馈形式系统均适用.数值仿真结果验证了该控制方法的有效性,系统在控制器的作用下能快速稳定到期望点.
Abstract:
Based on active backstepping controlling method,the adaptive control scheme is introduced for online parameter identification and adaptive controller design.A class of chaotic systems with unknown parameters are controlled so that the controlled systems could be stable at any user-defined point.Meanwhile,the stability of the system is analyzed based on Lyapunov stability theory.The control scheme is suitable for systems in parametric strict-feedback forms as well as systems in parametric non-strict-feedback forms.The results of numerical simulation have proven the effectiveness of control method and the system with the controller can reach the desired point rapidly and stablely.

参考文献/References:

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[5] 关新平, 何宴辉, 范正平. 一类参数未知混沌系统的鲁棒自适应控制 [J]. 控制与决策, 2003(3):324-327.doi:10.3321/j.issn:1001-0920.2003.03.016.
[6] 李钟慎, 魏剑林, 王永初. 利用Backstepping方法的PMSM混沌运动的控制 [J]. 华侨大学学报(自然科学版), 2009(3):253-256.
[7] PENG Chao-chung, CHEN Chieh-li. Robust chaotic control of Lorenz system by backstepping design [J]. Chaos, Solitons & Fractals, 2008(2):598-608.doi:10.1016/j.chaos.2006.09.057.
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备注/Memo

备注/Memo:
福建省自然科学基金计划资助项目(E0710018)
更新日期/Last Update: 2014-03-23