Reduced order observer-based strictly dissipative control for linear singular systems

This paper mainly deals with the problem of designing reduced order observer-based strictly dissipative controllers for linear singular systems. By using Lyapunov function and linear matrix inequalities(LMI) method, sufficient conditions are obtained for the existences of the observers and the controllers, and the corresponding design methods are also given in terms of the solutions of linear matrix inequalities (LMIs). The above conditions can guarantee that the observers track the system state asymptotically and the closed-loop singular systems are admissible (i.e. regular, stable and impulse free) and strictly dissipative. Finally, a numerical example is provided to show the whole design process of the proposed method.