%A LU Li-hua, WU Bao-wei* %T Design of finite-time normal observer for a linear singular time-delay system %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 121-126 %V 46 %N 3 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_1172.shtml} %8 %X

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.