Global finite-time stabilization for a class of high-order nonlinear systems with multiple unknown control directions

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• 作者：Jing Li ; Jian Wu ; Xi Guo ; Xiaobo Li&#8230
• 关键词：Global finite ; time stability ; high ; order nonlinear systems ; logic switching rule ; unknown control directions
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：15
• 期：1
• 页码：178-185
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Control, Robotics, Mechatronics;
• 出版者：Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
• ISSN：2005-4092
• 卷排序：15

文摘

This paper considers the problem of the global finite-time stabilization for the high-order nonlinear systems with unknown control directions. Due to the uncertainty of control directions, the paper analyzes all possible conditions of the directions. The Lyapunov-based logic switching rule ensures that we can find the correct control directions. The adaptive switching controller with a switching parameter which is to be tuned online guarantees that the derivative of Lyapunov function is less than a negative definite function and the closed-loop system is globally finite-time stable. The effectiveness of the proposed method is illustrated by an example.