Output feedback control for uncertain linear systems with faulty actuators based on a switching method

Abstract

This paper investigates the problem of output feedback stabilization for a class of uncertain linear systems with faulty actuators via the synergy with a switching strategy. When actuators suffer a 'destabilizing failure' and the never-faulty actuators cannot stabilize the given system, the closed-loop exponential stability can still be achieved via the average dwell-time scheme employing an arbitrary switching signal. The prerequisite condition found requires the ratio between the two lapse times, when the system is devoid of faulty actuators and when it is not so, to be less than a certain specified constant. Then the stabilizing output feedback controls are designed via the technique of linear matrix inequalities. The illustrative example and the respective simulation results demonstrate the feasibility and effectiveness of the proposed design synthesis.