Fault estimate and fault-tolerant control for hybrid systems based on the extended state method

This article solves the fault estimation and fault-tolerant control problem for discrete-time hybrid systems containing actuator and sensor faults. A novel extended state observer is shown to estimate states and faults of systems, simultaneously. Based on the utilized estimations, a fault-tolerant controller is proposed so that stochastic stability of closed-loop models with (Formula presented.) level is analyzed and sufficient conditions are obtained. A simulation example is given to prove this proposed strategy's effectiveness.