东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (2): 119-122.DOI: -

• 论著 •    下一篇

一类不确定性系统鲁棒H_∞控制器的设计

孙平;井元伟;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 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:2006-02-15 发布日期:2013-06-23
  • 通讯作者: Sun, P.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274099);;

Design of robust H∞ controller for a class of uncertain systems

Sun, Ping (1); Jing, Yuan-Wei (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-02-15 Published:2013-06-23
  • Contact: Sun, P.
  • About author:-
  • Supported by:
    -

RichHTML

0

PDF (PC)

754

摘要： 讨论了一类同时具有匹配不确定性和不匹配不确定性系统鲁棒H∞控制问题.对于所有容许的不确定性,基于矩阵不等式给出了二次稳定的条件并对系统的H∞性能进行了分析和设计;给出了系统的鲁棒H∞控制器,该控制器不仅满足系统二次稳定的条件,而且也满足H∞性能约束条件.数值算例说明了控制器设计方法的有效性和可行性.

关键词: 不确定性系统, 二次稳定, H∞性能, 鲁棒控制器, 线性矩阵不等式

Abstract: The robust H∞ control problem of a class of uncertain systems with matched and unmatched uncertainties is discussed. Based on linear matrix inequality (LMI), the condition of quadratic stabilization is given and the H∞ performance of the systems is analyzed and designed for all admissible uncertainties. The robust H∞ controller which satisfies not only quadratic stabilization but also H∞ performance is developed. A numerical example is given to demonstrate the effectiveness and feasibility of the controller.

中图分类号: