期刊
AUTOMATICA
卷 102, 期 -, 页码 105-110出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2019.01.004
关键词
Stochastic nonlinear time-delay systems; Lyapunov-Razumikhin lemma; Perturbations; State-feedback control; GAS in probability
资金
- NSFC [61673215, 61473151, 61403199, 61573172, 61873330, 61773191, 61773186]
- Natural Science Foundation of Jiangsu Province [BK20140770]
- Fundamental Research Funds for the Central Universities [30916015105]
- 333 Project [BRA2017380]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT13072]
- Priority Academic Program Development of Jiangsu
- Key Laboratory of Jiangsu Province
- Natural Science Fund for Distinguished Young Scholars of Jiangsu Province [BK20150034]
- Program for New Century Excellent Talents in University [NCET-13-0859]
This paper addresses the globally adaptive state-feedback control problem for a more general class of stochastic nonlinear systems with an unknown time-varying delay and perturbations. Without imposing any assumptions on the time-varying delay, an adaptive state-feedback controller is skillfully designed by using adaptive backstepping control technique. Then, based on Lyapunov-Razumikhin lemma and stochastic stability theory, it is proven that the constructed controller can guarantee the closed-loop system to be globally asymptotically stable in probability. Finally, a practical example of stochastic chemical reactor system with time delay and perturbations is presented to demonstrate the effectiveness of the proposed control scheme. (C) 2019 Elsevier Ltd. All rights reserved.
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