Robust H∞ reliable control against simultaneous failures of sensor and actuator

The reliable H∞ control design problem for linear uncertain systems in dealt with using observer-based output feedback. A reliable control design scheme is proposed for the case of a simultaneous presence of actuator failures and sensor failures. An approach of linear matrix inequalities (LMIs) is developed to solve the problem addressed. Based on this approach, observer-based feedback control laws are designed that guarantee closed-loop asymptotic stability and reduction of the effect of an augmented disturbance input on the controlled output of a prescribed level, not only when the system is operating properly, but also under actuator and sensor failures. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approaches.