东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (4): 359-362.DOI: -

• 论著 • 上一篇    下一篇

不确定广义非线性关联大系统的分散鲁棒控制

马跃超;张庆灵;童松;   

  1. 东北大学理学院;东北大学理学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-04-15 发布日期:2013-06-23
  • 通讯作者: Ma, Y.-C.
  • 作者简介:-
  • 基金资助:
    辽宁省普通高等学校学科带头人基金资助项目(124210);;

Decentralized robust control for a class of generalized nonlinearly-intercorrelated large-scale systems with uncertainties

Ma, Yue-Chao (1); Zhang, Qing-Ling (1); Tong, Song (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-04-15 Published:2013-06-23
  • Contact: Ma, Y.-C.
  • About author:-
  • Supported by:
    -

摘要: 考虑了一类具有相似结构的不确定广义非线性关联大系统,利用Lyapunov稳定理论和矩阵理论,借助广义大系统的分解原理研究了该类系统的分散镇定问题.运用Lyapunov方程的方法结合矩阵的范数性质得到了系统可镇定的条件,并给出了一种分散鲁棒镇定控制器的设计.同时,获得了不确定广义非线性关联大系统及各个孤立子系统同时渐近稳定的不确定量的范数界.

关键词: 广义系统, 鲁棒镇定, 分散控制, 脉冲能控, 能稳

Abstract: A class of generalized nonlinearly-intercorrelated large-scale systems with uncertainties and similar structures is considered, of which the decentralized stabilization is studied by virtue of Lyapunov stability theory, matrix theory and decomposing process of a generalized large-scale system. The condition of stabilization is given for the systems by using Lyapunov equation method and matrix norm properties, and a decentralized robust stabilization controller is designed. Meanwhile, the bounds of uncertainties of the generalized nonlinearly-intercorrelated large-scale systems are determined, as well as those of all the individual subsystems which are stabilized asymptotically at the same time.

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