Fault-tolerant control of stochastic systems with intermittent faults and time-varying delays

This paper investigates the fault-tolerant control of stochastic systems with intermittent faults and time-varying delays. The intermittent faults in multiplicative form occur in sensor and actuator simultaneously. Markov chain is used to depict the switching between the faulty and healthy situations. By designing a set of dynamic output feedback controllers, the resulted system is described by a Markovian jump system (MJS). The aim of this study is to stabilize the closed-loop system and make it satisfy the prescribed H
_∞
performance index. Based on H
_∞
control theory and linear matrix inequality (LMI) method, a sufficient condition for the existence of controller is given in this study.