Finite-Time Stabilization of Dynamical System with Adaptive Feedback Control  

作　　者：Zhicai Ma Yongzheng Sun Hongjun Shi 

机构地区：[1]Department of Mathematics, Longqiao College of Lanzhou University of Finance and Economics, Lanzhou, China [2]School of Sciences, China University of Mining and Technology, Xuzhou, China

出　　处：《Journal of Applied Mathematics and Physics》2017年第2期412-421,共10页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：CHAOS FINITE-TIME STABILIZATION Adaptive FEEDBACK CONTROLLER 

分 类 号：O23[理学—运筹学与控制论]