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J4 ›› 2011, Vol. 46 ›› Issue (3): 121-126.

• 数学 • 上一篇    

奇异时滞系统的有限时间规范观测器的设计

卢丽华,吴保卫*   

  1. 陕西师范大学数学与信息科学学院, 陕西 西安 710062
  • 收稿日期:2010-05-03 发布日期:2011-04-21
  • 通讯作者: 吴保卫(1963- ),男,教授,主要从事控制理论的研究. Email:wubw@snnu.edu.cn
  • 作者简介:卢丽华(1984- ),女,硕士研究生,主要从事控制理论的研究. Email:lulydgyy@163.com
  • 基金资助:

    国家自然科学基金资助项目(10971123);陕西省自然科学基础研究计划项目(SJ08A20)

Design of finite-time normal observer for a linear singular time-delay system

LU Li-hua, WU Bao-wei*   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China
  • Received:2010-05-03 Published:2011-04-21

摘要:

在已有研究的基础上,对线性奇异时滞系统的状态观测器的设计进行了研究。首先简要介绍了Lambert W 函数及其性质,并在此基础上给出了时滞系统稳定性的判断条件,以及随时间渐近趋于系统状态的观测器。然后,利用基于Lambert W 函数的特征值配置技术,给出了一种简单的求解有限时间状态规范观测器系数矩阵的方案。最后通过Matlab对具体算例进行了仿真,仿真结果表明该方案有效可行,能够很好地应用到线性奇异时滞系统的设计中。

关键词: 时滞;奇异时滞系统;有限时间观测器;特征值配置

Abstract:

Based on previous studies, a finite-time observer of the linear singular time-delay systems is designed. First, Lambert W function and its character were discussed. On this basis, the condition of judging timedelay system′s stability and the observer which converges to state asymptotically were given. Second, using eigenvalue assigning technology based on Lambert W function, an easy and convenient way of resolving finite-time normal observers′ coefficient matrix was proposed. Finally, Matlab was used to simulate a practical exam, and the result proved that the design proposed in this paper was effective and efficient, and it could be applied well in linear singular time-delay systems.

Key words:  delay; singular time-delay system; finite-time normal observer; assignment of eigenvalues

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