Fractional-order control of a micrometric linear axis
type: Item
instance of: scholarly article
title: Fractional-order control of a micrometric linear axis
zbMATH Open document ID: 1263.93094
DOI: 10.1155/2013/947428
author: Luca Bruzzone
author: Pietro Fanghella
published in: Journal of Control Science and Engineering
publication date: 2013-06-10T00:00:00Z
review text: Summary: This paper discusses the application of a particular fractional-order control scheme, the PDD\(^{1/2}\), to the position control of a micrometric linear axis. The PDD\(^{1/2}\) scheme derives from the classical PD scheme with the introduction of the half-derivative term. The PD and PDD\(^{1/2}\) schemes are compared by adopting a nondimensional approach for the sake of generality. The linear model of the closed-loop system is discussed by analyzing the pole location in the \(\sigma\)-plane. Then, different combinations of the derivative and half-derivative terms, characterized by the same settling energy in the step response, are experimentally compared in the real mechatronic application, with nonnegligible friction effects and a position set point with trapezoidal speed law. The experimental results are coherent with the nonlinear model of the controlled system and confirm that the introduction of the half-derivative term is an interesting option for reducing the tracking error in the transient state.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6172166
zbMATH Keywords: fractional-order control scheme
zbMATH Keywords: closed-loop system
zbMATH Keywords: pole location
describes a project that uses: FOMCON
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/947428
OpenAlex ID: W2043015440
Wikidata QID: Q59012495
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description: scientific article; zbMATH DE number 6172166