上海交通大学学报

上海交通大学学报（自然版）

• 自动化技术、计算机技术 • 上一篇    下一篇

一种变时滞不确定系统鲁棒可靠控制的线性矩阵不等式方法

吴军生，翁正新，田作华，施颂椒   

  1. (上海交通大学 电子信息与电气工程学院， 上海 200240)
  • 收稿日期:2008-01-23 修回日期:1900-01-01 出版日期:2008-10-28 发布日期:2008-10-28
  • 通讯作者: 田作华

Robust Reliable Control of Uncertain Time Varying StateDelay System: A Linear Matrix Inequality Method

WU Jun-sheng, WENG Zheng-xin, TIAN Zuo-hua, SHI Song-jiao   

  1. (School of Electronic, Information and Electrical Engineering,
    Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2008-01-23 Revised:1900-01-01 Online:2008-10-28 Published:2008-10-28
  • Contact: TIAN Zuo-hua

摘要： 为提高动态系统的可靠性，研究了带有执行器故障的变时滞不确定系统的鲁棒可靠控制.给出了系统在正常运行和带有可预期执行器故障情况下，闭环系统保持二次稳定的时滞依赖充分条件.运用线性矩阵不等式方法实现了可靠状态反馈控制的综合问题.通过仿真算例,说明了本文方法的可行性和有效性.

关键词: 可靠控制, 鲁棒控制, 时变时滞, 不确定系统, 线性矩阵不等式

Abstract: The robust reliable control design problem for uncertain systems with timevarying state delay as well as actuator failures in the input channels was discussed. A sufficient condition was established such that the closedloop system quadratic stability is satisfied for both the normal system and the system with possible actuator failures. The condition is a delaydependent one. A reliable state feedback controller was synthesized within the framework of linear matrix inequalities. The simulation results demonstrate the efficacy and validity of the approach.

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