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Global Finite-time Stabilization for a Class of High-order Nonlinear Systems with Multiple Unknown Control Directions

Jing Li, Jian Wu*, Xi Guo, Xiaobo Li, and Liefu Ai
International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp.178-185, 2017

Abstract : "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."

Keyword : "Global finite-time stability, high-order nonlinear systems, logic switching rule, unknown control directions. 1"

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