This letter studies the tracking error in Multi-input Multi-output Feedback Error Learning (MIMO-FEL) system having insufficient excitation. It is shown that the error converges to zero exponentially even if the reference signal lacks the persistently excitation (PE) condition. Furthermore, by making full use of this fast convergence, we estimate the plant parameter while in operation based on frequency response. Simulation results show the effectiveness of the proposed method compared to a conventional approach.
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Basel ALALI, Kentaro HIRATA, Kenji SUGIMOTO, "Feedback Error Learning with Insufficient Excitation" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 10, pp. 3071-3075, October 2008, doi: 10.1093/ietfec/e91-a.10.3071.
Abstract: This letter studies the tracking error in Multi-input Multi-output Feedback Error Learning (MIMO-FEL) system having insufficient excitation. It is shown that the error converges to zero exponentially even if the reference signal lacks the persistently excitation (PE) condition. Furthermore, by making full use of this fast convergence, we estimate the plant parameter while in operation based on frequency response. Simulation results show the effectiveness of the proposed method compared to a conventional approach.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.10.3071/_p
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@ARTICLE{e91-a_10_3071,
author={Basel ALALI, Kentaro HIRATA, Kenji SUGIMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Feedback Error Learning with Insufficient Excitation},
year={2008},
volume={E91-A},
number={10},
pages={3071-3075},
abstract={This letter studies the tracking error in Multi-input Multi-output Feedback Error Learning (MIMO-FEL) system having insufficient excitation. It is shown that the error converges to zero exponentially even if the reference signal lacks the persistently excitation (PE) condition. Furthermore, by making full use of this fast convergence, we estimate the plant parameter while in operation based on frequency response. Simulation results show the effectiveness of the proposed method compared to a conventional approach.},
keywords={},
doi={10.1093/ietfec/e91-a.10.3071},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - Feedback Error Learning with Insufficient Excitation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3071
EP - 3075
AU - Basel ALALI
AU - Kentaro HIRATA
AU - Kenji SUGIMOTO
PY - 2008
DO - 10.1093/ietfec/e91-a.10.3071
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2008
AB - This letter studies the tracking error in Multi-input Multi-output Feedback Error Learning (MIMO-FEL) system having insufficient excitation. It is shown that the error converges to zero exponentially even if the reference signal lacks the persistently excitation (PE) condition. Furthermore, by making full use of this fast convergence, we estimate the plant parameter while in operation based on frequency response. Simulation results show the effectiveness of the proposed method compared to a conventional approach.
ER -