Delay-dependent robust and reliable H∞ control for linear uncertain systems with delayed-state and actuator failures

This paper focuses on the synthesis problem of robust and reliable H^∞ control for linear systems with norm-bounded time-varying parameter uncertainty in the state and delayed-state matrices, and also with actuator failures among a pre-specified subset of actuators. Actuator failures are considered as disturbance signals of arbitrary values to the system. A linear matrix inequality (LMI) method is given for the memoryless state feedback synthesis problem to quadratically stabilize the given systems with H^∞-norm bound constraints on attenuation of augmented disturbances, including failure signals in cases of actuator failures for any admissible uncertainty. The results depend on the size of the time-delay via the use of a Razumikhin-type theorem