| 一类时滞系统的函数观测器设计 |
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| 引用本文： | 李福明,段广仁. 一类时滞系统的函数观测器设计[J]. 控制工程, 2005, 0(Z2) |
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| 作者姓名： | 李福明 段广仁 |
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| 作者单位： | 哈尔滨工业大学控制理论与制导技术研究中心 黑龙江哈尔滨150001(李福明)，哈尔滨工业大学控制理论与制导技术研究中心 黑龙江哈尔滨150001(段广仁) |
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| 基金项目： | 国家杰出青年基金资助项目(69925308) |
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| 摘 要： | 针对一类状态变量中含有时滞的线性系统,提出了函数观测器设计的一种参数方法。给出了函数观测器存在的充要条件。基于Lyapunov稳定理论和广义Sylvester矩阵方程的完全参数化解,给出了时滞系统函数观测器设计算法。两个数值例子说明了提出算法的简单性、有效性。该方法提供了进一步满足其他性能要求的设计自由度。
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| 关 键 词： | 时滞系统 函数观测器 Lyapunov函数 Sylvester矩阵方程 参数方法 |
Design of Functional Observers for a Class of Linear Time-delay Systems |
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| LI Fu-ming,DUAN Guang-ren Center for Control Theory and Guidance Technology,Harhin Institute of Technology,Harbin ,China. Design of Functional Observers for a Class of Linear Time-delay Systems[J]. Control Engineering of China, 2005, 0(Z2) |
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| Authors: | LI Fu-ming DUAN Guang-ren Center for Control Theory Guidance Technology Harhin Institute of Technology Harbin China |
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| Affiliation: | LI Fu-ming,DUAN Guang-ren Center for Control Theory and Guidance Technology,Harhin Institute of Technology,Harbin 150001,China |
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| Abstract: | A parametric approach to the design of functional observers for a class of linear systems with delays in state variables is proposed. The necessary and sufficient condition functional observers are first established; based on Lyapunov stability theory and generalized Sylvester matrix equations, a design algorithm of observer for a class of linear time-delay systems is then proposed; finally two numerical examples shows the simplicity and the effectiveness of the proposed approach. |
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| Keywords: | time-delay systems functional observer Lyapunov function Sylvester matrix equation parametric approach |
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