Observer design for discrete-time descriptor systems with unknown inputs and inputs estimation

In this paper, the problem of inputs decoupled observer design for discrete-time descriptor systems with unknown inputs was considered. When the non-regular discrete-time descriptor systems were impulsively controllable, under the nonsingular transformation, equivalent discrete-time standard state space systems were derived by regarding the partial state as unknown input. The sufficient conditions for the existence of the observer and simple method to design the observer are given, and the state and unknown inputs of the discrete-time descriptor systems are asymptotically estimated by the state of observer and output of discrete time descriptor systems.