Anti-Windup Design for Saturated Semi-Markovian Switching Systems With Stochastic Disturbance.

In this brief, we consider the anti-windup design for stochastic semi-Markovian switching systems (S-MSSs) with saturation nonlinearity and stochastic disturbance. In the system under consideration, stochastic S-MSSs with the semi-Markovian process can describe more complex systems in a practical control process. The main motivation of this brief is that the practical system described by stochastic S-MSSs always needs to consider the actuator saturation. To deal with this kind of complex problem, sufficient conditions for stochastic stability (SSY) analysis is developed by the Lyapunov function method. Then, the anti-windup strategy is constructed to make the dynamical system achieves SSY and maximize the domain of attraction. Finally, the simulation results of the practical system show the validity of the proposed method. [ABSTRACT FROM AUTHOR]