Collaborative design of transition rates and finite-time sliding mode controller against actuator saturation

This paper studies the collaborative design of the transition rates and sliding mode controllers for continuous-time Markovian jump systems under actuator saturation. Breaking through the assumption that the transition rates are priori, the stochastic finite-time boundedness of the unforced Markovian jump system is ensured by designing the transition rate matrix. Following that, a collaborative design strategy is presented for the transition rate matrix and sliding mode controller, establishing ample conditions to guarantee that the closed-loop system meets stochastic finite-time boundedness while approaching both the reaching and sliding motion phases concurrently. Furthermore, some examples are included to elucidate the provided transition rate design approach and collaborative design methodology.