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

摘要

This paper focuses on the synthesis problem of robust and reliable H{sup}∞ 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 prespecified subset of actuators. Actuator failures are considered as disturbance signals of arbitrary values to the system. LMI(Linear Matrix Inequality) method is given for the memoryless state feedback synthesis problem to quadratically stabilize the given systems with an H{sup}∞ -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 Razumikhin-type therorem.