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
相关论文
共 19 条
[1]   Continuous finite-time stabilization of the translational and rotational double integrators [J].
Bhat, SP ;
Bernstein, DS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682
[2]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[3]   Finite-time stabilization and stabilizability of a class of controllable systems [J].
Hong, YG .
SYSTEMS & CONTROL LETTERS, 2002, 46 (04) :231-236
[4]   Global finite-time stabilization of a class of uncertain nonlinear systems [J].
Huang, XQ ;
Lin, W ;
Yang, B .
AUTOMATICA, 2005, 41 (05) :881-888
[5]   SINGULARLY PERTURBED ZERO DYNAMICS OF NONLINEAR-SYSTEMS [J].
ISIDORI, A ;
SASTRY, SS ;
KOKOTOVIC, PV ;
BYRNES, CI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (10) :1625-1631
[6]  
Kahlil H.K., 2002, NONLINEAR SYSTEMS
[7]   ROBUST SERVOMECHANISM OUTPUT-FEEDBACK CONTROLLERS FOR FEEDBACK LINEARIZABLE SYSTEMS [J].
KHALIL, HK .
AUTOMATICA, 1994, 30 (10) :1587-1599
[8]  
Kokotovic P V., 1998, Singular Perturbation Methods in Control: Analysis and Design
[9]   DESIGN OF DIGITAL DIFFERENTIATORS FOR LOW-FREQUENCIES [J].
KUMAR, B ;
ROY, SCD .
PROCEEDINGS OF THE IEEE, 1988, 76 (03) :287-289
[10]   A novel approach to control of nonminimum-phase nonlinear systems [J].
Lee, JI ;
Ha, IJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (09) :1480-1486
12