Adaptive Control Design for Linear Time-Varying System Based on Internal Model Principle
Summary :
In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.6 pp.1047-1054
- Publication Date
- 1999/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Systems and Control
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Koichi HIDAKA, Hiromitsu OHMORI, Akira SANO, "Adaptive Control Design for Linear Time-Varying System Based on Internal Model Principle" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 6, pp. 1047-1054, June 1999, doi: .
Abstract: In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_6_1047/_p
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@ARTICLE{e82-a_6_1047,
author={Koichi HIDAKA, Hiromitsu OHMORI, Akira SANO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Adaptive Control Design for Linear Time-Varying System Based on Internal Model Principle},
year={1999},
volume={E82-A},
number={6},
pages={1047-1054},
abstract={In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - Adaptive Control Design for Linear Time-Varying System Based on Internal Model Principle
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1047
EP - 1054
AU - Koichi HIDAKA
AU - Hiromitsu OHMORI
AU - Akira SANO
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1999
AB - In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.
ER -
English
