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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

Stabilization of stochastic nonholonomic systems

Abstract: In this work, we investigate the stabilization control design of nonholonomic stochastic system in strict-feedback form. Under the condition of all states being available for feedback, a state feedback controller was developed via the stochastic Lyapunov-like theorem and backstepping design technique. The controllers guarantee all states of the closed-loop system are bounded in probability, and largely asymptotically stable when the stochastic disturbances equal to zero at the equilibrium point of the open-loop system. Besides, the time-varying technique was introduced to avoid the uncontrollable state of chained system.

Key words: Time-varying technique, Nonholonomic, Backstepping, Stochastic


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DOI:

10.1631/jzus.2006.A1742

CLC number:

TP273

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Received:

2005-10-17

Revision Accepted:

2006-05-18

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