Finite-time-convergent differentiator based on singular perturbation technique

被引：156

作者：

Wang, Xinhua

Chen, Zengqiang

Yang, Geng

机构：

[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China

[2] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China

[3] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2007年 / 52卷 / 09期

基金：

中国国家自然科学基金;

关键词：

chattering phenomenon; differentiator; finite-time-convergent; generalized derivative; singular perturbation;

D O I：

10.1109/TAC.2007.904290

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A finite-time-convergent differentiator is presented that is based on singular perturbation technique. The merits of this differentiator exist in three aspects: rapidly finite-time convergence compared with other typical differentiators; no chattering phenomenon; and besides the derivatives of the derivable signals, the generalized derivatives of some classes of signals can be obtained-for example, the generalized derivative of a triangular wave is square wave, etc. The theoretical results are confirmed by computer simulations.

引用

页码：1731 / 1737

页数：7

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