Design of guaranteed cost robust Hinf reliable controller for uncertain time delay system against actuator failure

The problem of guaranteed cost robust Hinf reliable control is investigated for time-delayed uncertain systems against actuator failures. In the considered system, the parameter uncertainty satisfies a generalized matching condition, and all the outputs of the actuator failures are assumed to be zero. Based on Lyapunov stability theory, a sufficient condition of the existence of guaranteed cost robust Hinf reliable controller is derived and furthermore transformed to a linear matrix inequality (LMI). At the same time, the designing approach of state feedback controller is presented and the upper bound of guaranteed cost function is given. The resultant control systems not only could retain asymptotic stability and disturbance attenuation with Hinf-norm bounds but also possess the performance index of guaranteed cost irrespective of any outages within a prespecified subset of actuators. A numerical example shows the validity of the proposed design method.