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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 439482, 8 pages
http://dx.doi.org/10.1155/2013/439482
Research Article

Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems

1School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
2Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China
3Institute of Automation, Qufu Normal University, Qufu 273165, China

Received 25 February 2013; Revised 6 May 2013; Accepted 29 May 2013

Academic Editor: Ahmed El-Sayed

Copyright © 2013 Fangzheng Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper further investigates the problem of finite-time state feedback stabilization for a class of stochastic nonholonomic systems in chained form. Compared with the existing literature, the stochastic nonholonomic systems under investigation have more uncertainties, such as the -subsystem contains stochastic disturbance. This renders the existing finite-time control methods highly difficult to the control problem of the systems or even inapplicable. In this paper, by extending adding a power integrator design method to a stochastic system and by skillfully constructing Lyapunov function, a novel switching control strategy is proposed, which renders that the states of closed-loop system are almost surely regulated to zero in a finite time. A simulation example is provided to demonstrate the effectiveness of the theoretical results.