Observer design for linear singular time-delay systems

Three kinds of observers for linear singular time-delay systems, namely functional observers, reduced-order observers and full-order observers, are considered in this paper. About the former two, observers with and without internal delay are considered respectively. About the latter, observers without internal delay is given. The corresponding design steps for various observers, which are all normal linear time-delay systems, are presented. Numerical examples are given to illustrate the methods.