Observer-based Adaptive Sliding Mode Control for Uncertain Stochastic Systems with Bounded Transition Probabilities

With constrained transition rates and matching uncertainties, the sliding mode control(SMC) issue of uncertain stochastic system is the focus of this study. This complex system is given an appropriate observer-based adaptive sliding mode controller. The system’s state is first estimated using a Luenberger observer. Second, the sliding mode control approach ensures that Markovian jump systems (MJSs) with constrained transition rates and matching uncertainties are asymptotically stable. A numerical simulation is used to validate the results at the end.