Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems

Fangzheng Gao, Fushun Yuan, Jian Zhang and Yuqiang Wu

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:439482

DOI: 10.1155/2013/439482

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