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应用科学学报 ›› 2001, Vol. 19 ›› Issue (3): 237-240.

• 论文 • 上一篇    下一篇

基于LMI的离散时滞系统H∞控制

李志虎, 邵惠鹤, 王景成   

  1. 上海交通大学自动化研究所, 上海 200030
  • 收稿日期:2000-03-15 修回日期:2000-06-06 出版日期:2001-09-30 发布日期:2001-09-30
  • 作者简介:李志虎(1962-),男,安徽望江人,博士.

H∞ Control of Discrete Time-delay Systems Based on LMI

LI Zhi-hu, SHAO Hui-he, WANG Jing-cheng   

  1. Institute of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2000-03-15 Revised:2000-06-06 Online:2001-09-30 Published:2001-09-30

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摘要： 研究了一类线性离散时滞系统的H∞状态反馈控制问题.基于线性矩阵不等式,得到了这类时滞系统可H∞状态反馈镇定的一个充分条件.通过求解一个特定的线性矩阵不等式,即可得到镇定已知系统的H∞控制器,并用算例验证了该设计方法的有效性.

关键词: H∞控制, 线性矩阵不等式, 时滞, 离散系统

Abstract: This paper deals with the problem of H∞ control for linear discrete systems with multiple state delays. Based on-linear matrix inequalities, a sufficient condition is presented for the systems to be H∞ state feedback stabilizable. By solving a certain linear matrix inequality, the H∞ controllers are obtained. A numeric example is given to demonstrate the effectiveness and superiority of the design method.

Key words: time-delay, linear matrix inequalities (LMI), H∞ control, discrete systems

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