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

Authors: Dongkai Zhang; Chaoli Wang; Jiqing Qiu; Hua Chen

Addresses: Control Science and Engineering Department, University of Shanghai for Science and Technology, Shanghai, 200093, China; Department of Mathematics, Shijiazhuang University, Shijiazhuang, Hebei, 050035, China. ' Control Science and Engineering Department, University of Shanghai for Science and Technology, Shanghai, 200093, China. ' College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, China. ' Control Science and Engineering Department, University of Shanghai for Science and Technology, Shanghai, 200093, China

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.

Keywords: stochastic non-holonomic systems; backstepping; Markovian switching; state feedback stabilisation; switching control; simulation.

DOI: 10.1504/IJMIC.2012.047730

International Journal of Modelling, Identification and Control, 2012 Vol.16 No.3, pp.221 - 228

Published online: 17 Dec 2014 *

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