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

• Articles • Previous Articles    

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


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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