Parameterization of All Stabilizing Two-Degrees-of-Freedom Simple Repetitive Controllers with Specified Frequency Characteristics
Summary :
The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference inputs. This system follows a periodic reference input with a small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic reference input to the output and from the disturbance to the output have finite numbers of poles. Yamada et al. clarified the parameterization of all stabilizing simple repetitive controllers. Recently, Yamada et al. proposed the parameterization of all stabilizing two-degrees-of-freedom (TDOF) simple repetitive controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately. However, when using the method of Yamada et al., it is complex to specify the low-pass filter in the internal model for the periodic reference input that specifies the frequency characteristics. This paper extends the results of Yamada et al. and proposes the parameterization of all stabilizing TDOF simple repetitive controllers with specified frequency characteristics in which the low-pass filter can be specified beforehand.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.6 pp.1384-1392
- Publication Date
- 2013/06/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.1384
- Type of Manuscript
- Special Section PAPER (Special Section on Circuit, System, and Computer Technologies)
- Category
Authors
Tatsuya SAKANUSHI
Gunma University
Jie HU
Gunma University
Kou YAMADA
Gunma University
Keyword
Latest Issue
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Tatsuya SAKANUSHI, Jie HU, Kou YAMADA, "Parameterization of All Stabilizing Two-Degrees-of-Freedom Simple Repetitive Controllers with Specified Frequency Characteristics" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 6, pp. 1384-1392, June 2013, doi: 10.1587/transfun.E96.A.1384.
Abstract: The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference inputs. This system follows a periodic reference input with a small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic reference input to the output and from the disturbance to the output have finite numbers of poles. Yamada et al. clarified the parameterization of all stabilizing simple repetitive controllers. Recently, Yamada et al. proposed the parameterization of all stabilizing two-degrees-of-freedom (TDOF) simple repetitive controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately. However, when using the method of Yamada et al., it is complex to specify the low-pass filter in the internal model for the periodic reference input that specifies the frequency characteristics. This paper extends the results of Yamada et al. and proposes the parameterization of all stabilizing TDOF simple repetitive controllers with specified frequency characteristics in which the low-pass filter can be specified beforehand.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.1384/_p
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@ARTICLE{e96-a_6_1384,
author={Tatsuya SAKANUSHI, Jie HU, Kou YAMADA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Parameterization of All Stabilizing Two-Degrees-of-Freedom Simple Repetitive Controllers with Specified Frequency Characteristics},
year={2013},
volume={E96-A},
number={6},
pages={1384-1392},
abstract={The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference inputs. This system follows a periodic reference input with a small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic reference input to the output and from the disturbance to the output have finite numbers of poles. Yamada et al. clarified the parameterization of all stabilizing simple repetitive controllers. Recently, Yamada et al. proposed the parameterization of all stabilizing two-degrees-of-freedom (TDOF) simple repetitive controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately. However, when using the method of Yamada et al., it is complex to specify the low-pass filter in the internal model for the periodic reference input that specifies the frequency characteristics. This paper extends the results of Yamada et al. and proposes the parameterization of all stabilizing TDOF simple repetitive controllers with specified frequency characteristics in which the low-pass filter can be specified beforehand.},
keywords={},
doi={10.1587/transfun.E96.A.1384},
ISSN={1745-1337},
month={June},}
Copy
TY - JOUR
TI - Parameterization of All Stabilizing Two-Degrees-of-Freedom Simple Repetitive Controllers with Specified Frequency Characteristics
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1384
EP - 1392
AU - Tatsuya SAKANUSHI
AU - Jie HU
AU - Kou YAMADA
PY - 2013
DO - 10.1587/transfun.E96.A.1384
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2013
AB - The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference inputs. This system follows a periodic reference input with a small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic reference input to the output and from the disturbance to the output have finite numbers of poles. Yamada et al. clarified the parameterization of all stabilizing simple repetitive controllers. Recently, Yamada et al. proposed the parameterization of all stabilizing two-degrees-of-freedom (TDOF) simple repetitive controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately. However, when using the method of Yamada et al., it is complex to specify the low-pass filter in the internal model for the periodic reference input that specifies the frequency characteristics. This paper extends the results of Yamada et al. and proposes the parameterization of all stabilizing TDOF simple repetitive controllers with specified frequency characteristics in which the low-pass filter can be specified beforehand.
ER -
English
