Observer design for discrete time-delay singular systems with unknown inputs

The observer design problem for linear discrete multiple delays rectangular singular systems with unknown inputs is discussed. Under a series of equivalent transformation, the problem is transformed into the observer design problem for standard state-space linear discrete systems with multiple delays. In terms of LMI, the sufficient condition for the existence of a full-order observer is derived, and the state and unknown inputs are all estimated very well. An numerical example is provided to show efficiency of the proposed method.