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...

Full description

Saved in:
Bibliographic Details
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.904290