Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification

This paper proposes a design method of robust controllers for systems containing uncertainties in the measurement equation. For our specific problem of visual feedback control, the effects of image distortion are reflected as uncertainties represented in an affine manner. In our previous design meth...

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Main Authors: Kazuyoshi Hatada, Masayuki Sato, Kentaro Hirata
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:SICE Journal of Control, Measurement, and System Integration
Subjects:
Online Access:http://dx.doi.org/10.1080/18824889.2025.2497612
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author Kazuyoshi Hatada
Masayuki Sato
Kentaro Hirata
author_facet Kazuyoshi Hatada
Masayuki Sato
Kentaro Hirata
author_sort Kazuyoshi Hatada
collection DOAJ
description This paper proposes a design method of robust controllers for systems containing uncertainties in the measurement equation. For our specific problem of visual feedback control, the effects of image distortion are reflected as uncertainties represented in an affine manner. In our previous design method, it is implicitly assumed that the parameter, which is used for deriving the state-space matrices of the controller to be designed, is chosen as the nominal value of the uncertainty parameter. This assumption causes some conservatism. We thus propose a new design method by replacing the nominal value of the uncertainty parameter in our previous method as a newly introduced fictitious parameter whose value should be a priori set but can be chosen freely. A controller for a visual feedback system which allows measurement errors due to large lens distortion is designed by using the proposed method. The validity of our controller is confirmed by a lab-level experimental setup.
format Article
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institution OA Journals
issn 1884-9970
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publishDate 2025-12-01
publisher Taylor & Francis Group
record_format Article
series SICE Journal of Control, Measurement, and System Integration
spelling doaj-art-c8984d7ceffb4c8eb1bfe47931fb2dca2025-08-20T01:51:24ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702025-12-0118110.1080/18824889.2025.24976122497612Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verificationKazuyoshi Hatada0Masayuki Sato1Kentaro Hirata2Fukuoka UniversityKumamoto UniversityDoshisha UniversityThis paper proposes a design method of robust controllers for systems containing uncertainties in the measurement equation. For our specific problem of visual feedback control, the effects of image distortion are reflected as uncertainties represented in an affine manner. In our previous design method, it is implicitly assumed that the parameter, which is used for deriving the state-space matrices of the controller to be designed, is chosen as the nominal value of the uncertainty parameter. This assumption causes some conservatism. We thus propose a new design method by replacing the nominal value of the uncertainty parameter in our previous method as a newly introduced fictitious parameter whose value should be a priori set but can be chosen freely. A controller for a visual feedback system which allows measurement errors due to large lens distortion is designed by using the proposed method. The validity of our controller is confirmed by a lab-level experimental setup.http://dx.doi.org/10.1080/18824889.2025.2497612robust controller designfictitious parametercalibration-free visual feedback systemscart-driven inverted pendulumbilinear matrix inequalities
spellingShingle Kazuyoshi Hatada
Masayuki Sato
Kentaro Hirata
Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification
SICE Journal of Control, Measurement, and System Integration
robust controller design
fictitious parameter
calibration-free visual feedback systems
cart-driven inverted pendulum
bilinear matrix inequalities
title Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification
title_full Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification
title_fullStr Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification
title_full_unstemmed Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification
title_short Robust controller design with reduced conservatism for calibration-free visual feedback systems and its experimental verification
title_sort robust controller design with reduced conservatism for calibration free visual feedback systems and its experimental verification
topic robust controller design
fictitious parameter
calibration-free visual feedback systems
cart-driven inverted pendulum
bilinear matrix inequalities
url http://dx.doi.org/10.1080/18824889.2025.2497612
work_keys_str_mv AT kazuyoshihatada robustcontrollerdesignwithreducedconservatismforcalibrationfreevisualfeedbacksystemsanditsexperimentalverification
AT masayukisato robustcontrollerdesignwithreducedconservatismforcalibrationfreevisualfeedbacksystemsanditsexperimentalverification
AT kentarohirata robustcontrollerdesignwithreducedconservatismforcalibrationfreevisualfeedbacksystemsanditsexperimentalverification