Fault estimation and tolerant control for discrete-time nonlinear stochastic multiple-delayed systems with intermittent sensor and actuator faults

This article is concerned with the design of the observer and controller to perform fault estimation (FE) and fault tolerant control for the discrete-time nonlinear stochastic systems with multiple time-varying state delays and intermittent sensor and actuator faults. In comparison with the present research, the method addressed in this article is more flexible and feasible. A novel adaptive descriptor observer is developed to obtain the error dynamics and then realizen-step FE. Then, an active observer-based controller is constructed to stabilize the closed-loop system. Moreover, an augmented closed-loop system is acquired and a series of delay-dependent sufficient conditions are collected by the delay-dependent Lyapunov function utilizing linear matrix inequalities. The method is less conservative compared with the ones of the existence. At last, a simulation example is presented to demonstrate the advantages and effectiveness of the approach proposed in the article.