东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (1): 9-12.DOI: -

• 论著 • 上一篇    下一篇

线性不确定系统的动态输出变结构控制器设计

颜闽秀;井元伟;姜囡;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-01-15 发布日期:2013-06-22
  • 通讯作者: Yan, M.-X.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274099);;

Design of a dynamic output variable structure controller for uncertain linear systems

Yan, Min-Xiu (1); Jing, Yuan-Wei (1); Jiang, Nan (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-01-15 Published:2013-06-22
  • Contact: Yan, M.-X.
  • About author:-
  • Supported by:
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摘要： 对一类不确定系统,研究了使得闭环系统渐近稳定的输出变结构控制器的设计问题.控制器由线性和非线性两部分组成,重点在线性部分的设计,通过采用全部动态来消除非匹配不确定性,而非线性部分的设计尽可能简单.利用Lyapunov理论和矩阵不等式方法,推导出动态输出变结构控制律存在的充分条件,并转化为矩阵不等式表示的可行性问题,从而可利用Matlab LMI工具箱来求解,以便构造出变结构控制器.仿真算例说明分析方法和结果是有效可行的.

关键词: 变结构控制, 动态输出反馈, 非匹配线性系统, 滑模面, 线性矩阵不等式

Abstract: The design of an output feedback controller is investigated to enable a closed-loop system to be asymptotically stable for a class of uncertain systems. A controller is proposed including both nonlinear and linear parts, and the latter is stressed in design. Dynamics is introduced completely to eliminate mismatched uncertainties and, on the other hand, the nonlinear part is simplified as possible. Based on the Lyapunov theory and LMI (linear matrix inequality), the sufficient conditions for the existence of the control law of dynamic output feedback variable structure are derived and transformed into a feasibility problem in terms of LMI. The problem can thus be solved by Matlab LMI toolbox so as to build the variable structure controller for a class of uncertain linear systems. A Matlab simulation example is given to illustrate that this analysis method and its results are valid and feasible.

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