On Finite-Time Stable Tracking Differentiator without Lipschitz Continuity of Lyapunov Function
In this paper,the strong and weak convergence of nonlinear nite-time stable tracking differentiators is presented under some easy checkable conditions.A second order nonlinear differentiator is constructed by using homogeneity in geometry. Numerical simulation shows that this tracking differentiator has advantages compared with the existing ones.The application to the stabilization control of one-dimensional wave equation is illustrated numerically.This result relaxes the strong condition required in IEEE Transactions on Automatic Control,52(2007),1731-1737that the Lyapunov function satis es global Lipschitz condition,which seems very restrictive in applications.
GUO Bao-Zhu ZHAO Zhi-Liang
The Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Academia Sinica University of Science and Technology of China,Hefei 320026,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）