东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2012, Vol. 33 ›› Issue (2): 161-164.DOI: -

• 论著 • 上一篇    下一篇

不确定时滞线性离散系统的鲁棒容错控制

杨冬梅;孙俊娜;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-01-17
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    辽宁省自然科学基金资助项目(20102058)

Robust fault-tolerant control for uncertain linear discrete systems with time-delay

Yang, Dong-Mei (1); Sun, Jun-Na (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-01-17
  • Contact: Yang, D.-M.
  • About author:-
  • Supported by:
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摘要： 针对含有执行器失效故障的一类线性不确定时滞离散系统,研究了状态反馈鲁棒容错控制问题,其中参数的不确定性是范数有界的.基于Lyapunov稳定性理论和LMI方法,设计了一种有记忆的状态反馈控制器,使得闭环系统在所有可能的执行器失效故障情况下均是渐近稳定的.给出了该系统对执行器失效具有完整性的一个LMI充分条件,并利用MATLAB的LMI工具箱求解各控制器参数.数值算例和仿真结果验证了该方法的可行性和有效性.

关键词: 离散系统, 时滞, 容错控制, 执行器故障

Abstract: The paper focuses on the problem of robust fault-tolerant control based on the state feedback for a class of linear discrete systems with uncertain time-delay against the actuator failures, where the uncertainties of the parameters are norm bounded. Based on Lyapunov stability theory and LMI approach, a state feedback controller with memory is designed, which ensures that the closed-loop systems are asymptotically stable in all possible actuator failures cases. An LMI sufficient condition such that the systems possess integrity against the actuator failures is given. All the parameters of the controller can be obtained using the LMI toolbox in MATLAB. The simulation results demonstrate the feasibility and effectiveness of the proposed method.

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