Journal
AUTOMATICA
Volume 69, Issue -, Pages 298-307Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.03.005
Keywords
Global finite-time stability; Adaptive control; Multiple unknown control directions; Logic switching rule; Uncertain nonlinear systems
Funding
- National Natural Science Foundation of China [61174213, 61203074]
- Program for New Century Excellent Talents in University [NCET-10-0665]
- Fundamental Research Funds for the Central Universities [K5051370014]
- Natural Science Foundation of Anhui Province [1608085QF131]
- University Team Program for Innovative Research Platform of Intelligent Perception and Computing of Anhui Province
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In this paper, the problem of global finite-time stabilization is addressed for a class of nonlinear systems with multiple unknown control directions. Unlike all the existing works on finite-time stabilization, our work allows the control directions of the considered systems to be unknown. This paper is the first to focus on the global finite-time control of such uncertain systems. To overcome the main obstacle arising from unknown control directions, we develop a novel Lyapunov-based logic switching rule, and then the desired adaptive switching controllers are designed, where the controller parameters are to be tuned online in a switching manner according to the proposed switching logic. It is shown that the obtained controllers guarantee the closed-loop systems being globally finite-time stable. A simulation example is provided to illustrate the effectiveness of the proposed control algorithms. (C) 2016 Elsevier Ltd. All rights reserved.
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