Observer-based finite-time adaptive sliding mode control for itô stochastic jump systems with actuator degradation

This paper investigates the problem of finite-time adaptive sliding mode control for Itô stochastic systems with Markovian switching, where the transition rate matrix of the jump systems is partially available, and unknown actuator degradation factors and matched nonlinearity are considered simultaneously. In this design, an adaptive sliding mode observer is first proposed for the investigated plant to reconstruct the system state, where effects of actuator degradations are compensated by the observer with the adaptive estimation mechanism. Based on the state estimation, an observer-based adaptive sliding mode control law is developed to stabilize the overall closed-loop system, which can also ensure the state trajectories to be driven onto the sliding surface in finite-time with a pre-specified finite-time interval. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed fault tolerant control methodology.