Observer design for descriptor systems with unknown inputs and inputs estimation

The problem of inputs decoupled observer design for linear descriptor systems that was not square with unknown inputs was considered. When the descriptor systems were impulsively controllable, under the nonsingular transformation, equivalent standard state space systems were derived via 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 descriptor systems are asymptotically estimated using the state of observer, control input and output of descriptor systems.