Delay-dependent robust and reliable H∞ control for uncertain time-delay systems with actuator failures

This paper focuses on the synthesis problem of delay-dependent robust and reliable H∞ control for linear time-delay systems with norm-bounded time-varying parameter uncertainty in the state and delayed-state matrices and also with actuator failures among a prespecified subset of actuators. Actuator failures are considered as disturbance signals of arbitrary values to the system. An LMI (Linear Matrix Inequality) method is given for the delay-dependent memoryless state feedback synthesis problem to quadratically stabilize the given systems with an H∞-norm bound constraints on attenuation of augmented disturbances, including failure signals in cases of actuator failures for any admissible uncertainty.