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Stability analysis for a second-order continuous finite-time control system subject to a disturbance
Received:February 23,2008  Revised:July 4,2008
Keywords:Finite-time control  Second-order system  Disturbance analysis  Bounded disturbance
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Shihong DING, Shihua LI, Qi LI School of Automation, Southeast University, Nanjing Jiangsu 210096, China 
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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.
Shihong DING, Shihua LI, Qi LI.Stability analysis for a second-order continuous finite-time control system subject to a disturbance[J].Journal of Control Theory and Applications,2009,7(3):271~276.
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