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Finite-Time-Convergent Differentiator Based on Singular Perturbation Technique

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 d...

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Published in:	IEEE transactions on automatic control 2007-09, Vol.52 (9), p.1731-1737
Main Authors:	Wang, Xinhua, Chen, Zengqiang, Yang, Geng
Format:	Article
Language:	English
Subjects:	Acceleration Applied sciences Automatic control Automation Chattering phenomenon Computer science control theory systems Computer simulation Control systems Control theory. Systems Convergence Derivatives Differential equations differentiator Differentiators Exact sciences and technology finite-time-convergent generalized derivative Perturbation methods Singular perturbation Square waves Stability Target tracking Underwater tracking Vibration
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description	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.
doi_str_mv	10.1109/TAC.2007.904290
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source	IEEE Electronic Library (IEL) Journals
subjects	Acceleration Applied sciences Automatic control Automation Chattering phenomenon Computer science control theory systems Computer simulation Control systems Control theory. Systems Convergence Derivatives Differential equations differentiator Differentiators Exact sciences and technology finite-time-convergent generalized derivative Perturbation methods Singular perturbation Square waves Stability Target tracking Underwater tracking Vibration
title	Finite-Time-Convergent Differentiator Based on Singular Perturbation Technique
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