Fault tolerant control for uncertain systems with actuator stochastic failures

In this paper, the fault tolerant control problem for a class of nonlinear systems with actuator stochastic failures is considered. An innovative model is proposed for this problem, in which Markovian variable is firstly introduced to describe the statuses of actuators. As preliminaries, the differential expression and infinitesimal generator are discussed for the functions related to the argument Markovian variable, and then an adaptive backstepping state-feedback controller is designed such that all the closed-loop signals are bounded in probability in the presence of actuator stochastic failures. A simulation example is presented to show the efficiency of the proposed scheme.