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The design of a functional observer and reduced-order observer with internal delay for linear singular time-delay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality(LMI). Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods.
The design of a functional observer and reduced-order observer with internal delay for linear singular time-delay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality (LMI). Moreover, the observer-based feedback stabilization controller is obtained. Three examples are given to show the effectiveness of the proposed methods.