东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (4): 307-309.DOI: -

• 论著 •    下一篇

不确定组合系统的输入饱和分散鲁棒控制

翟丁;张庆灵;陈跃鹏;刘国义   

  1. 东北大学理学院;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
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-04-15 发布日期:2013-06-24
  • 通讯作者: Zhai, D.
  • 作者简介:-
  • 基金资助:
    辽宁省普通高校学科带头人基金资助项目(124210);;辽宁省科技基金资助项目(2001401041)·

Decentralized robust stabilization for uncertain composite system with input saturation

Zhai, Ding (1); Zhang, Qing-Ling (1); Chen, Yue-Peng (1); Liu, Guo-Yi (1)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-04-15 Published:2013-06-24
  • Contact: Zhai, D.
  • About author:-
  • Supported by:
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摘要： 通过分散鲁棒线性状态反馈控制得到了不确定输入饱和组合系统可状态反馈镇定的充分条件,找出了基于饱和输入的新的分散鲁棒控制器的设计方法·给出了饱和函数和矩阵的定义·提出了如何使组合系统分散鲁棒稳定的问题·运用矩阵构造Lyapunov函数并借助于代数Riccati方程,获得了比较简单的不确定组合系统稳定的输入饱和分散鲁棒充分条件·并且给出了在系统特殊情况下的分散鲁棒反馈控制律·

关键词: 饱和函数, M矩阵, 组合系统, 分散鲁棒控制, 镇定, 代数Riccati方程

Abstract: The sufficient conditions enabling an uncertain composite system with input saturation to stabilize its state feedback are obtained by use of decentralized robust linear-state feedback control. A new approach to the design of decentralized robust controller is thus found on input saturation basis. Giving the definitions of saturation function and M-matrix, how to get the decentralized robust stabilization is proposed for composite systems. Then based on M-matrix theory together with a Lyapunov equation constructed, the problem is discussed by virtue of an algebraic Riccati equation. The simplified sufficient conditions are therefore offered for the decentralized robust stabilization of uncertain composite systems with input saturation, as well as the decentralized robust feedback control law of the systems in special cases.

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