Observers for a class of descriptor systems with Lipschitz constraint

This paper considers observer design for a class of continuous-time descriptor systems with Lipschitz constraint. The constraint is a function of time, state and control input variables of the system. A new and simple approach is developed to design both full-order and reduced-order observers of the system. The sufficient condition is equivalent to the solvability of a linear matrix inequality. An illustrative example is presented to show the effectiveness of the proposed approach.