Weak Convergence of Nonlinear High-Gain Tracking Differentiator
Weak Convergence of Nonlinear High-Gain Tracking Differentiator
复制标题
非线性高增益跟踪微分器的弱收敛性
DOI：
10.1109/tac.2012.2218153
复制
发表时间：
2013-04-01
影响因子：
6.8
通讯作者：
Zhao, Zhi-Liang
中科院分区：
文献类型：
--
作者：
Guo, Bao-Zhu;Zhao, Zhi-Liang
在本技术说明中，在一些易于检验的条件下，给出了基于有限时间稳定系统的非线性高增益跟踪微分器的弱收敛性。利用齐次性构造了一个例子。数值模拟表明，该跟踪微分器优于现有的跟踪微分器。这一结果放宽了现有文献中要求的严格条件，即李雅普诺夫函数满足全局利普希茨条件且调节时间函数在零点连续，这两个条件在应用中似乎都非常具有局限性。
In this technical note, the weak convergence of a nonlinear high-gain tracking differentiator based on finite-time stable system is presented under some easy checkable conditions. An example is constructed by using homogeneity. Numerical simulation shows that this tracking differentiator takes advantages over the existing ones. This result relaxes the strict conditions required in existing literature that the Lyapunov function satisfies the global Lipschitz condition and the setting-time function is continuous at zero, both of them seem very restrictive in applications.