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2013 Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems
Fangzheng Gao, Fushun Yuan, Jian Zhang, Yuqiang Wu
Abstr. Appl. Anal. 2013: 1-8 (2013). DOI: 10.1155/2013/439482


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 x 0 -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 C 2 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.


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Fangzheng Gao. Fushun Yuan. Jian Zhang. Yuqiang Wu. "Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems." Abstr. Appl. Anal. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1291.93315
MathSciNet: MR3070188
Digital Object Identifier: 10.1155/2013/439482

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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