Journal
AUTOMATICA
Volume 54, Issue -, Pages 284-291Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2015.02.016
Keywords
Stochastic nonlinear system; Finite-time stability; Backstepping design method; Strict-feedback; High-order system
Funding
- National Natural Science Foundation of China [61374080]
- Natural Science Foundation of Zhejiang Province [LY12F03010]
- Natural Science Foundation of Ningbo [2012A610032]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
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This paper deals with the problem of finite-time stabilization for a class of high-order stochastic nonlinear systems in strict-feedback form. By using Ito's formula, mathematical induction and backstepping design method, a novel state-feedback controller is constructed to guarantee that the closed-loop high-order nonlinear system has a unique solution and the solution of the closed-loop high-order nonlinear system is finite-time stable. A systematic design algorithm is developed for the construction of the backstepping controller. Finally, the effectiveness of the state-feedback controller is illustrated by two examples. (C) 2015 Elsevier Ltd. All rights reserved.
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