Journal
AUTOMATICA
Volume 81, Issue -, Pages 455-463Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2017.04.024
Keywords
Fast finite-time stabilization; High-order nonlinear system; Nonlinear growth
Funding
- National Natural Science Foundation of China [61473170]
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This paper is concerned with the improvement of finite-time stability theorem and its application in stabilizing a class of high-order nonlinear systems globally. The novel control strategy unifies the construction of Lyapunov functions, which are used to deal with high-order and low-order nonlinear growth rates separately in the existing results. Convergent time is shortened greatly without requiring large control effort, but it suffers long period from traditional finite-time stabilization scheme when initial state is far away from the origin. Finally, two simulation examples including a practical one are presented to illustrate the efficiency of the proposed strategy. (C) 2017 Elsevier Ltd. All rights reserved.
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