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 (12): 1126-1129.DOI: -

• 论著 • 上一篇    下一篇

一类不确定线性系统区域稳定的可靠控制

王福忠;姚波;张嗣瀛   

  1. 东北大学信息科学与工程学院;沈阳师范大学数学与系统科学学院;东北大学信息科学与工程学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2003-12-15 发布日期:2013-06-24
  • 通讯作者: Wang, F.-Z.
  • 作者简介:-
  • 基金资助:
    辽宁省教育厅基金资助项目(202263357)

Reliable control of regional stability for a class of uncertain linear systems

Wang, Fu-Zhong (1); Yao, Bo (2); Zhang, Si-Ying (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China; (2) Shenyang Normal Univ., Shenyang 110034, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2003-12-15 Published:2013-06-24
  • Contact: Wang, F.-Z.
  • About author:-
  • Supported by:
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摘要： 针对具有不确定性的线性定常系统,提出了考虑执行器故障的圆盘极点可靠配置问题·在更一般、更实际的执行器故障模型的基础上,给出了将极点配置到指定圆盘内可靠控制存在的充分条件·通过求解LMI完成状态反馈可靠控制器的设计·利用仿真实例验证了本文提出设计方法的可行性,并且通过与不考虑故障和不确定因素的系统比较,进一步说明对系统进行可靠极点配置的必要性·

关键词: 不确定性, 执行器故障, 可靠极点配置, Lyapunov方程, LMI

Abstract: The reliable placement of disk pole with actuator failure was discussed for the constant linear system with uncertainty. Based on a more common and actual model of actuator failure, the sufficient conditions were given to the reliable control when allocating the pole into an assigned circular disk. A reliable state-feedback controller was designed through solving linear matrix inequality. A simulation test was carried out to verify the practicability of such a design procedure. Compared with the system taking no account of failure and uncertain factor, the necessity of allocating reliably the pole to a system was proved further.

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