期刊
INTERNATIONAL JOURNAL OF CONTROL
卷 89, 期 12, 页码 2453-2465出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2016.1161829
关键词
Stochastic time-varying nonlinear systems; state feedback; adding a power integrator; global finite-time stable in probability
资金
- National Nature Science Foundation of China [61273091, 61403003]
- Project of Taishan Scholar of Shandong Province of China [TS20120529]
- PhD Program Foundation of Ministry of Education of China [20123705110002]
- Key Program of Science Technology Research of Education Department of Henan Province [13A120016, 14A520003]
In this paper, the problem of global finite-time stabilisation by state feedback is investigated for a class of stochastic high-order nonlinear systems with time-varying nonlinearities. Based on the generalised stochastic Lyapunov theorem on finite-time stability, and by skillfully using the method of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee that the closed-loop system is globally finite-time stable in probability. Finally, several simulation examples are provided to illustrate the effectiveness of the proposed method.
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