Observer-based adaptive sliding mode control for Itô stochastic switched systems against actuator degradation

This paper investigates an adaptive SMC that corrects actuator degradation in Itô stochastic switched systems. We first construct a sliding mode observer that estimates the unmeasured state. We then design an adaptive observer-based SMC law that drives the state trajectories onto the sliding surface within a finite-time. Finally, we demonstrate the effectiveness of the proposed methodology in a numerical example.