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, issue 1

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 x0‐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 C2 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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https://doi.org/10.1155/2013/439482

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:439482

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