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
收藏
页码：1731 / 1737
页数：7
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