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		Shihong DING,Shihua LI,Qi LI.[en_title][J].Control Theory and Technology,2009,7(3):271~276.[Copy]

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ShihongDING,ShihuaLI,QiLI
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Received:February 23, 2008Revised:July 04, 2008

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Stability analysis for a second-order continuous finite-time control system subject to a disturbance

Shihong DING, Shihua LI, Qi LI

(School of Automation, Southeast University, Nanjing Jiangsu 210096, China)

Abstract:

In this paper, using finite-time control method, we consider the disturbance analysis of a second-order system with unknown but bounded disturbance. We show that the states of the second-order system will be stabilized to a region containing the origin. The radius of this region is determined by the control parameters and can be rendered as small as desired. The rigorous stability analysis is also given. Compared with the conventional PD control law, the finite-time control law yields a better disturbance rejection performance. Numerical simulation results show the effectiveness of the method.

Key words: Finite-time control Second-order system Disturbance analysis Bounded disturbance