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Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly
2006 Vol.7 No.10 P.1742-1747
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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2024-08-27
Received:
2023-10-17
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2024-05-08
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