Signal differentiation in automatic control systems

Realization of the traditional approaches to differentiation of signals in the automatic control systems is hindered by the negative effect of gain on the accuracy of differentiation and stability to high-frequency noise. An approach was proposed based on representing the considered signal as a powe...

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Bibliographic Details
Published in:Automation and remote control 2015-12, Vol.76 (12), p.2110-2123
Main Authors: Emel’yanov, S. V., Afanas’ev, A. P.
Format: Article
Language:English
Subjects:
Approximation
Automatic control systems
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Derivatives
Differentiation
Gain
Linear Systems
Mathematical analysis
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Noise
Remote control
Robotics
Systems Theory
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Description
Summary:Realization of the traditional approaches to differentiation of signals in the automatic control systems is hindered by the negative effect of gain on the accuracy of differentiation and stability to high-frequency noise. An approach was proposed based on representing the considered signal as a power function with coefficients that are calculated by repeated integration and approximate the derivative of the original signal. At that, the accuracy of differentiation and the level of noise immunity can be improved by using more integrators, rather than increasing the gains.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117915120024