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中文摘要：
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。
英文摘要：
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.
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