Adaptive tracking control for a class of uncertain switched stochastic nonlinear systems

Abstract

Abstract This paper pursues an adaptive fuzzy control scheme for a class of nonlinear systems with stochastic switching. A general controller and adaptive mechanism are designed by utilizing Lyapunov function approach and backstepping technique. It is demonstrated that the presented control method can guarantee that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded (SUUB) and the tracking error is convergent to a neighborhood of the origin. Finally, the simulation results verify the feasibility of the control strategy presented in this paper.

Keywords

• Adaptive fuzzy control
• Stochastic switched nonlinear systems
• Backstepping technique