TITLE:
Finite-Time Stabilization of Dynamical System with Adaptive Feedback Control
AUTHORS:
Zhicai Ma, Yongzheng Sun, Hongjun Shi
KEYWORDS:
Chaos, Finite-Time Stabilization, Adaptive Feedback Controller
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.2,
February
17,
2017
ABSTRACT: In this paper, an adaptive feedback controller is proposed to achieve the finite-time stability of dynamical system. In the proposed scheme, the feedback gain of the adaptive feedback controller is automatically tuned according to the adaptation law in order to stabilize unstable fixed points of the system. Based on the Lyapunov function method and the finite-time stability theory, we get a sufficient condition for the finite-time stability. Finally, simulation results show the effectiveness and feasibility of the proposed finite-time controller.