期刊文献+

一类大规模随机非线性系统的适应镇定(英文) 被引量:3

Adaptive Stabilization for a Class of Large-scale Stochastic Nonlinear Systems with Decentralized Controller Design
下载PDF
导出
摘要 讨论一类大规模随机非线性系统的适应镇定问题。采用Lyapunov和Backstepping方法设计了自适应的状态反馈控制器使得闭环系统是以概率稳定的,且使系统的状态以概率收敛为0;进一步,给出一个仿真算例说明方法的有效性。 In this paper,a stabilizing and adaptive state feedback controller for a class of large-scale stochastic nonlinear systems are designed with Lyapunov and Backstepping methods. The given controller,besides global stability in probability,guarantees regulation of the state of the plant to zero with probability one. And it is adaptive for the unknown parameter. Furthermore,a second order example is delivered to illustrate the approach.
机构地区 郑州大学数学系
出处 《广西师范大学学报(自然科学版)》 CAS 北大核心 2007年第1期21-25,共5页 Journal of Guangxi Normal University:Natural Science Edition
基金 Natural Science Foundation of Henan(0611056000)
关键词 随机大系统 非线性系统 自适应镇定 BACKSTEPPING large-scale systems stochastic nonlinear system adaptive stabilization Backstepping
  • 相关文献

参考文献11

  • 1KUSHNER H J.Converse theorems for stochastic liapunov functions[J].SIAM J Control,1967,5(2):228-233.
  • 2KHAS'MINSKII R Z.Stochastic stability of differential equations[M].Rockville,MD:S & N International Publishers,1980.
  • 3FLORCHINGER P.Lyapunov-like techniques for stochastic stability[J].SIAM J Control Optim,1995,33(4):1151-1169.
  • 4PAN Z,BASAR T.Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion[J].SIAM J Control Optim,1999,37 (3):957-995.
  • 5DENG H,KRSTIC M.Stabilization of stochastic nonlinear systems driven by noise of unknown covariance[J].Systems & Control Letters,2000,39 (1):173-182.
  • 6ARSLAN G,BASAR T.Decentralized risk-sensitive controller design for strict-feedback systems[J].Systems & Control Letters,2003,50 (2):383-393.
  • 7梁宏伟,卢凤莉.一类非线性系统零解的渐进稳定性[J].河南大学学报(自然科学版),2006,36(3):9-11. 被引量:1
  • 8刘海军,宋林锋.一类非线性时滞系统的自适应镇定[J].郑州大学学报(理学版),2006,38(2):9-12. 被引量:4
  • 9武利强,虞继敏,慕小武.一类串联非线性系统的鲁棒控制[J].郑州大学学报(理学版),2002,34(1):6-10. 被引量:4
  • 10YU Ji-min,MU Xiao-wu,FANG Jian-yin.Adaptive regulation for nonlinear systems with uncontrollable unstable linearization[J].Journal of Zhengzhou University:Natural Science Edition,2003,35 (3):5-11.

二级参考文献29

  • 1蹇继贵,廖晓昕.非线性非自治系统零解的稳定性及部分稳定性研究[J].数学杂志,2005,25(6):641-644. 被引量:10
  • 2Miroslav Krstic,Petar V Kokotovic. Control Lyapunov functions for adaptive nonlinear stabilization. System & Control Letters, 1995,26(1): 17 - 23.
  • 3Pait F M, Morse S. A cyclic switching strategy for parameter adaptive control. IEEE Trans Automat Control, 1994,39:1172 - 1183.
  • 4Khalil Hassan K. Nonlinear System. Macmillan Publishing Company,USA, 1992. 179 - 185.
  • 5Isidori A,Kang W. H∞ control via measurement feedback for general nonlinear systems. IEEE Trans Automat Control,1995,40:466 - 472.
  • 6Barmish B R, Corless M, Leitmann G. A new class of stabilizing controllers for uncertain dynamical systems. SIAM Journal of Control and Optimization,1983,21(1):246~255.
  • 7Barmish B R, Leitmann G. On ultimate boundedness control of uncertain systems in the absence of matching condition. IEEE Transaction on Automatic Control,1982,AC-27(2):153~158.
  • 8Byrnes C I, Isidori A. Asymptotic stabilization of minimum phase nonlinear systems. IEEE Transaction on Automatic Control,1991,36(9):1122~1137.
  • 9Isidori A. Nonlinear Control System. 2ed. New York: Springer-Verlag, 1989.
  • 10Sontag E D. Smooth stabilization implies coprime factorization. IEEE Transaction on Automatic Control,1989,34(4):435~443.

共引文献8

同被引文献30

引证文献3

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部