A new approach to fast global finite-time stabilization of high-order nonlinear system. (July 2017)

• Record Type: Journal Article
• Authors: Sun, Zong-Yao; Yun, Meng-Meng; Li, Ting
• Is Part Of: Automatica. Volume 81(2017)
• Page Start: 455
• Page End: 463
• Publication Date: 2017-07
• Subjects: Fast finite-time stabilization -- High-order nonlinear system -- Nonlinear growth; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.04.024
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: 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.