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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Relay-Based Autotuning With Algebraic
Control Design |
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Authors: |
Roman Prokop, Jiří Korbel, Zdenka Prokopová |
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Published in:
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(2009).ECMS
2009 Proceedings edited by J. Otamendi, A. Bargiela, J. L. Montes, L. M. Doncel
Pedrera. European Council for Modeling and
Simulation. doi:10.7148/2009 ISBN: 978-0-9553018-8-9 23rd
European Conference on Modelling and Simulation, Madrid, June
9-12, 2009 |
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Citation
format: |
Prokop, R., Korbel,
J., & Propokova, Z. (2009). Relay-Based Autotuning With Algebraic Control Design. ECMS 2009
Proceedings edited by J. Otamendi, A. Bargiela, J. L. Montes, L. M. Doncel Pedrera (pp.
531-536). European Council for Modeling and Simulation. doi:10.7148/2009-0531-0536 |
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DOI: |
http://dx.doi.org/10.7148/2009-0531-0536 |
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Abstract: |
In this paper, a combination of
relay feedback identification and an algebraic control design method for
stable systems is studied. Models with up to three parameters are estimated
by means of a single asymmetrical relay experiment. Then a stable low order
transfer function is identified. Then the controller is analytically derived
from general solutions of Diophantine equations in the ring of proper and
stable rational functions. The controller parameters are tuned through a
pole-placement problem as a desired multiple root of the characteristic
closed loop equation. A first order identification yields a
PI-like controllers while a second order identification generates PID
ones. The approach enables a scalar tuning parameter m>0 which can be
adjusted by various principles. |
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