Abstract

In this paper, observer design problem for rectangular discrete-time singular systems with time-varying delay is discussed. Based on restricted system equivalent (RSE) transformations and by introducing new state vectors, the problem is transformed into observer design problem for time-varying delay discrete-time standard state-space systems. By Lyapunov function method and linear matrix inequality (LMI) technique, the delay-dependent sufficient condition that there exists a state observer is established. The design method of matrix  is discussed and the coefficient matrices of function observer are given. Finally, a numerical example is given showing the effectiveness of the method given in the paper.

Key words: Rectangular discrete-time singular systems, time-varying delay, observer design, linear matrix inequality (LMI), delay-dependent.