期刊
NONLINEAR DYNAMICS
卷 90, 期 3, 页码 2057-2068出版社
SPRINGER
DOI: 10.1007/s11071-017-3782-9
关键词
Finite-time stabilization; Fixed-time stabilization; Discontinuous systems; Switched systems
资金
- National Natural Science Foundation of China [61773185, 61573096, 61773155, 61502212, 61673196, 61272530]
- Research Grants Council of Hong Kong Special Administrative Region [GRF CityU 11300415, CityU 11204514]
This paper investigates the finite-time and fixed-time stabilization (FFTS) of switched systems with discontinuous dynamics, external disturbances and delays. Firstly, a new parameterized discontinuous stabilizer is designed to ensure the FFTS of switched discontinuous systems in the sense of Filippov solutions. Secondly, a detailed analysis is provided on how to regulate the power parameters to determine the settling time is finite or fixed. Thirdly, a new adaptive controller is further designed to stabilize the considered system in a finite time, and the corresponding settling time is estimated as well. Finally, two examples are given to demonstrate the efficiency of the proposed method.
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