Fault tolerance analysis for stochastic systems using switching diffusion processes

摘要

This article models a class of stochastic systems with faults by switching diffusion processes (SDP), and analysesthe fault tolerability of such stochastic systems in the sense of input-to-state stability of overall SDP. The faulttolerability relies on the trade-off among the fault occurrence transition rate, the frequency of switching, and thedecreasing rate of Lyapunov functions along the solution of the system. Our results show that it may not benecessary to design the fault tolerant controller even though the stochastic system is not separately stable in thehealthy and faulty situations, the stability of the overall system process is still guaranteed under some conditions.The proposed tools are illustrated through an example of a fault-prone manufacturing system.