State-feedback stabilization for stochastic high-order nonholonomic systems with Markovian switching. (November 2015)

• Record Type: Journal Article
• Authors: Du, Qinghui; Wang, Chaoli; Wang, Gang; Zhang, Dongkai
• Is Part Of: Nonlinear analysis. Volume 18(2015)
• Page Start: 1
• Page End: 14
• Publication Date: 2015-11
• Subjects: Stochastic high-order nonholonomic systems -- State-feedback stabilization -- Markovian switching -- Input-state-scaling -- Adding a power integrator; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.03.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the problem of stabilization control design for a class of stochastic high-order nonholonomic systems with Markovian switching. A state feedback controller is obtained by using input-state scaling technique and the generalized Itô formula, and adding a power integrator backstepping approach. The switching strategy is proposed to eliminate the phenomenon of uncontrollability and to guarantee that closed-loop system has a unique solution and the solution of the closed-loop systems is almost surely asymptotically stable. Simulation examples demonstrate the effectiveness of the proposed scheme.