On the Stability of Receding Horizon Control Based on Horizon Size

Myung-Hwan OH; Jun-Ho OH

On the Stability of Receding Horizon Control Based on Horizon Size

Myung-Hwan OH, Jun-Ho OH

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The matrix inequality condition has been considered as the main condition for the stability of RHC. But it is difficult to apply the matrix inequality condition for guaranteeing the stability of any physical system because of the high gain problem brought about the high value of the final state weighting matrix. Therefore, in this study, a new stability condition for RHC is proposed and it extends the range of the final state weighting matrix guaranteeing the stability of RHC in comparison with the case of the matrix inequality condition. The proposed stability condition is based not only on a final state weighting matrix but also on a horizon size and guarantees the stability for other forms of model predictive control just like the matrix inequality condition.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.2 pp.505-508

Publication Date: 2004/02/01

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Type of Manuscript: LETTER

Category: Systems and Control

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Myung-Hwan OH, Jun-Ho OH, "On the Stability of Receding Horizon Control Based on Horizon Size" in IEICE TRANSACTIONS on Fundamentals, vol. E87-A, no. 2, pp. 505-508, February 2004, doi: .
Abstract: The matrix inequality condition has been considered as the main condition for the stability of RHC. But it is difficult to apply the matrix inequality condition for guaranteeing the stability of any physical system because of the high gain problem brought about the high value of the final state weighting matrix. Therefore, in this study, a new stability condition for RHC is proposed and it extends the range of the final state weighting matrix guaranteeing the stability of RHC in comparison with the case of the matrix inequality condition. The proposed stability condition is based not only on a final state weighting matrix but also on a horizon size and guarantees the stability for other forms of model predictive control just like the matrix inequality condition.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_2_505/_p

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@ARTICLE{e87-a_2_505,
author={Myung-Hwan OH, Jun-Ho OH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Stability of Receding Horizon Control Based on Horizon Size},
year={2004},
volume={E87-A},
number={2},
pages={505-508},
abstract={The matrix inequality condition has been considered as the main condition for the stability of RHC. But it is difficult to apply the matrix inequality condition for guaranteeing the stability of any physical system because of the high gain problem brought about the high value of the final state weighting matrix. Therefore, in this study, a new stability condition for RHC is proposed and it extends the range of the final state weighting matrix guaranteeing the stability of RHC in comparison with the case of the matrix inequality condition. The proposed stability condition is based not only on a final state weighting matrix but also on a horizon size and guarantees the stability for other forms of model predictive control just like the matrix inequality condition.},
keywords={},
doi={},
ISSN={},
month={February},}

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TY - JOUR
TI - On the Stability of Receding Horizon Control Based on Horizon Size
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 505
EP - 508
AU - Myung-Hwan OH
AU - Jun-Ho OH
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2004
AB - The matrix inequality condition has been considered as the main condition for the stability of RHC. But it is difficult to apply the matrix inequality condition for guaranteeing the stability of any physical system because of the high gain problem brought about the high value of the final state weighting matrix. Therefore, in this study, a new stability condition for RHC is proposed and it extends the range of the final state weighting matrix guaranteeing the stability of RHC in comparison with the case of the matrix inequality condition. The proposed stability condition is based not only on a final state weighting matrix but also on a horizon size and guarantees the stability for other forms of model predictive control just like the matrix inequality condition.
ER -