北京航空航天大学学报 ›› 2002, Vol. 28 ›› Issue (3): 331-334.

• 论文 • 上一篇    下一篇

不确定系统的鲁棒严格正实设计的LMI方法

张高民, 贾英民   

  1. 北京航空航天大学 理学院
  • 收稿日期:2000-10-10 出版日期:2002-03-31 发布日期:2010-09-26
  • 作者简介:张高民(1964-),男,山东潍坊人,博士生,100083,北京.
  • 基金资助:

    国家自然科学基金资助项目(69625506)

Robust Strict Positive Realness Synthesis for Uncertainty Systems with LMI Approach

ZHANG Gao-min, JIA Ying-min   

  1. Beijing University of Aeronautics and Astronautics, School of Science
  • Received:2000-10-10 Online:2002-03-31 Published:2010-09-26

摘要: 考虑系数矩阵具有有界范数不确定性系统的鲁棒严格正实设计问题.定义了不确定系统的二次严格正实性,得到了用线性矩阵不等式表示的系统二次严格正实的充要条件,给出了基于状态反馈的不确定系统二次严格正实鲁棒优化控制器的设计方法.

Abstract: This paper is devoted to synthesizing a stabilizing feedback controller for a linear time-invariant plant with norm-bounded uncertain coefficient matrices so that the corresponding closed-loop system is robustly strictly positive real. Quadratic strict positive real system is defined first. Necessary and sufficient conditions for the system to be quadratic strict positive real are then established. Finally, state-space formulas for the state feedback controller are given in terms of solutions to linear matrix inequalities. The feasibility of the proposed method is confirmed by a numerical example.

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