Simple controller design to achieve iso-damping robustness: Non-iterative data-driven approach based on fractional-order reference model

Fuente: arXiv
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Auteurs principaux: Yonezawa, Ansei, Yonezawa, Heisei, Yahagi, Shuichi, Kajiwara, Itsuro
Format: Preprint
Publié: 2024
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author Yonezawa, Ansei
Yonezawa, Heisei
Yahagi, Shuichi
Kajiwara, Itsuro
author_facet Yonezawa, Ansei
Yonezawa, Heisei
Yahagi, Shuichi
Kajiwara, Itsuro
contents This study proposes a simple controller design approach to achieve a class of robustness, the so-called iso-damping property. The proposed approach can be executed using only one-shot input/output data. An accurate mathematical model of a controlled plant is not required. The model-reference control problem is defined to achieve the desired closed-loop specifications, including the iso-damping, and the reference model is designed on the basis of fractional-order calculus. The optimization problem for the model-reference control is formulated using the one-shot input/output data while considering the bounded-input bounded-output (BIBO) stability from a bounded reference input to a bounded output. The iso-damping robust controller is obtained by solving the optimization problem. The representative advantages of the proposed approach over the conventional methods are the simplicity, practicality, and reliability from the viewpoint of the unnecessity of the plant model and explicit consideration of the BIBO stability from a bounded reference input to a bounded output. Numerical and experimental studies demonstrate the validity of the proposed approach.
format Preprint
id arxiv_https___arxiv_org_abs_2409_20375
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simple controller design to achieve iso-damping robustness: Non-iterative data-driven approach based on fractional-order reference model
Yonezawa, Ansei
Yonezawa, Heisei
Yahagi, Shuichi
Kajiwara, Itsuro
Systems and Control
This study proposes a simple controller design approach to achieve a class of robustness, the so-called iso-damping property. The proposed approach can be executed using only one-shot input/output data. An accurate mathematical model of a controlled plant is not required. The model-reference control problem is defined to achieve the desired closed-loop specifications, including the iso-damping, and the reference model is designed on the basis of fractional-order calculus. The optimization problem for the model-reference control is formulated using the one-shot input/output data while considering the bounded-input bounded-output (BIBO) stability from a bounded reference input to a bounded output. The iso-damping robust controller is obtained by solving the optimization problem. The representative advantages of the proposed approach over the conventional methods are the simplicity, practicality, and reliability from the viewpoint of the unnecessity of the plant model and explicit consideration of the BIBO stability from a bounded reference input to a bounded output. Numerical and experimental studies demonstrate the validity of the proposed approach.
title Simple controller design to achieve iso-damping robustness: Non-iterative data-driven approach based on fractional-order reference model
topic Systems and Control
url https://arxiv.org/abs/2409.20375