Reliable control of uncertain delayed systems with integral quadratic constraints

The reliable control design problem for uncertain systems with time delays as well as actuator failures in the input channels is discussed. A sufficient condition is established such that the closed-loop system stability and a time-domain integral quadratic constraint are satisfied for both a normal system and a system with possible actuator failures. A reliable state feedback controller is synthesised within the framework of linear matrix inequalities. Simulation results on a test example are presented to validate the proposed design method.