期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 358, 期 -, 页码 63-79出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.03.067
关键词
Finite-time stabilization; Stochastic nonlinear systems; Tan-type barrier Lyapunov function
资金
- National Science Foundation of China [61573170, 31571571]
- Jiangsu Natural Science Foundation for Distinguished Young Scholars [BK20180045]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Six Talent Peaks Project in Jiangsu Province [XNYQC-006]
This paper considers the problem of finite-time stabilization in probability for a class of high-order stochastic nonlinear systems with output constraints in which the fractional powers are only required to be positive rather than not less than one. Based on a modified version of adding a power integrator technique and a novel tan-type barrier Lyapunov function, a systematic design approach is developed and a state-feedback controller is constructed. Rigorous mathematical proof shows that the origin of the system is finite-time stable in probability and the constraint requirement on the output is not violated. The effectiveness of the proposed finite-time control scheme is verified by a simulation example. (C) 2019 Elsevier Inc. All rights reserved.
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