东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2003, Vol. 24 ›› Issue (8): 751-754.DOI: -

• 论著 • 上一篇    下一篇

不确定广义系统的鲁棒H_∞控制

朴凤贤;张庆灵;张国山   

  1. 东北大学理学院;东北大学理学院;沈阳航空工业学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 发布日期:2013-06-24
  • 通讯作者: Piao, F.-X.
  • 作者简介:-
  • 基金资助:
    辽宁省教育厅基金资助项目(990521040)

Robust H∞ control for uncertain descriptor systems

Piao, Feng-Xian (1); Zhang, Qing-Ling (1); Zhang, Guo-Shan (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Shenyang Inst. of Aero. Eng., Shenyang 110034, China
  • Received:2013-06-24 Revised:2013-06-24 Published:2013-06-24
  • Contact: Piao, F.-X.
  • About author:-
  • Supported by:
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摘要： 研究状态和输入矩阵含仿射型不确定性的广义系统鲁棒H∞控制问题,通过满足广义约束的代数Riccati不等式(GARI)给出此类不确定广义系统可以通过状态反馈二次可镇定且满足H∞范数界的充分必要条件,同时也给出了不确定广义系统可镇定与二次可镇定的关系及控制器的设计,并且可通过给定系统的已知信息求出控制器,最后给出数值算例验证所得结果·

关键词: 广义系统, 鲁棒H∞控制, 广义代数Riccati不等式, 二次可镇定

Abstract: This paper focuses on the problem robust H∞ control design for affine uncertain descriptor systems in both state and input matrices. Necessary and sufficient conditions for quadratic stabilization with a H∞-norm bound are derived by a generalized algebraic Riccati inequality (GARI) with a so-called descriptor constraint. The relationship between the stabilization and the quadratic stabilization, and a design for the controller were given. The controller was obtained by the known information of the given uncertain descriptor systems. Finally, an example was given to illustrate the main results.

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