Friction induced hunting limit cycles : an event mapping approach

R.H.A. Hensen; M.J.G. Molengraft, van de

doi:10.1109/ACC.2002.1023978

Friction induced hunting limit cycles : an event mapping approach

R.H.A. Hensen, M.J.G. Molengraft, van de

Control Systems Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

19 Citations (Scopus)

Abstract

This paper studies the occurence of limit cycles for a simple PID-controlled motion system subjected to different shapes of static frictional damping functions. The friction characteristics are compared with respect to the so-called hunting phenomenon. In particular, a classification with respect to the ability to predict both stable and unstable limit cycles is obtained. Furthermore, the local stability of the equilibrium points is discussed and attractor basins are given. To perform this analysis, the closed-loop dynamics are represented with an equivalent one-dimensional map representing a so-called event map.

Original language	English
Title of host publication	Proceedings of the 2002 American control conference, ACC : May 8-10, 2002, Anchorage, Alaska, USA. Vol. 3.
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	2267-2272
ISBN (Print)	0-7803-7298-0
DOIs	https://doi.org/10.1109/ACC.2002.1023978
Publication status	Published - 2002

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10.1109/ACC.2002.1023978

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title = "Friction induced hunting limit cycles : an event mapping approach",

abstract = "This paper studies the occurence of limit cycles for a simple PID-controlled motion system subjected to different shapes of static frictional damping functions. The friction characteristics are compared with respect to the so-called hunting phenomenon. In particular, a classification with respect to the ability to predict both stable and unstable limit cycles is obtained. Furthermore, the local stability of the equilibrium points is discussed and attractor basins are given. To perform this analysis, the closed-loop dynamics are represented with an equivalent one-dimensional map representing a so-called event map.",

author = "R.H.A. Hensen and {Molengraft, van de}, M.J.G.",

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Friction induced hunting limit cycles : an event mapping approach. / Hensen, R.H.A.; Molengraft, van de, M.J.G.
Proceedings of the 2002 American control conference, ACC : May 8-10, 2002, Anchorage, Alaska, USA. Vol. 3.. Piscataway: Institute of Electrical and Electronics Engineers, 2002. p. 2267-2272.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Molengraft, van de, M.J.G.

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Y1 - 2002

N2 - This paper studies the occurence of limit cycles for a simple PID-controlled motion system subjected to different shapes of static frictional damping functions. The friction characteristics are compared with respect to the so-called hunting phenomenon. In particular, a classification with respect to the ability to predict both stable and unstable limit cycles is obtained. Furthermore, the local stability of the equilibrium points is discussed and attractor basins are given. To perform this analysis, the closed-loop dynamics are represented with an equivalent one-dimensional map representing a so-called event map.

AB - This paper studies the occurence of limit cycles for a simple PID-controlled motion system subjected to different shapes of static frictional damping functions. The friction characteristics are compared with respect to the so-called hunting phenomenon. In particular, a classification with respect to the ability to predict both stable and unstable limit cycles is obtained. Furthermore, the local stability of the equilibrium points is discussed and attractor basins are given. To perform this analysis, the closed-loop dynamics are represented with an equivalent one-dimensional map representing a so-called event map.

U2 - 10.1109/ACC.2002.1023978

DO - 10.1109/ACC.2002.1023978

M3 - Conference contribution

SN - 0-7803-7298-0

SP - 2267

EP - 2272

BT - Proceedings of the 2002 American control conference, ACC : May 8-10, 2002, Anchorage, Alaska, USA. Vol. 3.

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Friction induced hunting limit cycles : an event mapping approach

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