Observer-based H∞ fault-tolerant control for stochastic parabolic systems

Abstract

This paper proposes an observer-based $H_{\infty }$ fault-tolerant controller for a class of stochastic parabolic systems (SPSs) subject to actuator failures. An augmented SPS that includes both the state vector and the error vector is given. The coupling difficulty between faults and system states is solved by using matrix decompositions and inequality techniques. The designed observer-based controller ensures that the SPSs achieve the mean square finite horizon $H_{\infty }$ performance. Finally, a simulation of CPU chip thermal fault is provided to illustrate the effectiveness of the proposed scheme.