State-feedback stabilisation for stochastic non-holonomic systems with Markovian switching

Abstract

This paper investigates the state-feedback stabilisation of stochastic non-holonomic systems with Markovian switching. Based on the backstepping approach, state-feedback controllers are firstly designed for stochastic non-holonomic systems with Markovian switching. A switching control strategy for the original system is given which can guarantee that the closed-loop system is almost asymptotically stabilised at the zero equilibrium in probability. In the end, a simulation example is provided to illustrate effectiveness of the controller.