Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (3): 666-670.

• 制导、导航与控制 • 上一篇    下一篇

具有圆盘区域极点约束的H∞保性能控制

王佳, 林宇峰, 邢伟   

  1. 东北大学系统科学研究所, 辽宁, 沈阳, 110004
  • 收稿日期:2007-10-02 修回日期:2007-12-02 出版日期:2009-03-20 发布日期:2010-01-03
  • 作者简介:王佳(1982- ),女,硕士研究生,主要研究方向为广义系统,鲁棒控制,智能控制.E-mail:wangjia405@163.com

Guaranteed cost H∞ control with disk pole constraints

WANG Jia, LIN Yu-feng, XING Wei   

  1. Inst. of Systems Science, Northeastern Univ., Shenyang 110004, China
  • Received:2007-10-02 Revised:2007-12-02 Online:2009-03-20 Published:2010-01-03

摘要: 针对一类不确定系统,提出了具有圆盘区域极点约束的H∞保性能控制器的设计问题。该控制器将闭环系统极点配置在指定的圆盘区域内的同时,传递函数满足给定的H∞范数有界的约束,并且保证性能指标具有上界。以LMIs形式给出了状态反馈H∞保性能控制器的设计方法。最后,数值算例证明了该设计方法的有效性和可行性。

Abstract: The design problem of H∞ guaranteed cost controller for a class of uncertain systems with poles placed in a special disk is discussed.The controller guarantees the poles of the closed-loop system placed in a special disk and the H∞-bounded constraint on attenuation disturbances,and the system provides a guaranteed cost.The H∞ guaranteed cost controller can be obtained via LMIs.Finally,an example is given to illustrate the effectiveness and feasibility of the theory.

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