Intermediate estimator based finite-time fault-tolerant control for nonlinear switched stochastic systems

The finite time fault -tolerant control problem for switched stochastic nonlinear systems with actuator and sensor faults is studied in this paper. Firstly, the finite -time intermediate estimator is considered to reconstructed the system state, sensor and actuator faults. The proposed observer involves the output estimation error feedback to improve the estimation accuracy. According to the estimator mentioned above, the fault -tolerant controller is proposed to reduce the fault impact. Using the average dwell time and piecewise Lyapunov functions, sufficient conditions for the nonlinear switched stochastic systems to achieve finite -time stochastic boundedness are obtained. Finally, two examples are proposed to illustrate the feasibility of above method.