The design of a hybrid output feedback controller for an uncertain delay system with actuator failures based on the switching method

This paper focuses on the design problem of a hybrid dynamical output feedback controller for exponential stabilization of a class of uncertain time-varying delay systems with actuator failures. By representing the time-delay system in the descriptor form and using the average dwell time technique, a new delay-dependent stabilization criterion for the existence of hybrid output feedback controllers is derived in terms of matrix inequalities. A cone complementary linearization algorithm is developed to design the hybrid output feedback controller. Finally, the effectiveness and the applicability of the proposed method are demonstrated by using two simulation examples.