Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme

This article proposes a new method for treating the computational problem in discrete timelinear multi-periodic repetitive control systems, where the reference signal includes several periodiccomponents with already known periods. As periods get large, the computational problem becomesprominent. Thi...

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Main Authors: Youde Han, David H. Owens, Bing Chu
Format: Article
Language:English
Published: Balikesir University 2012-01-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Online Access:http://ijocta.balikesir.edu.tr/index.php/files/article/view/96/33
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spelling doaj-efbf3c336dc944a596932478c04743182020-11-24T21:33:12ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032012-01-0121116Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller SchemeYoude HanDavid H. OwensBing ChuThis article proposes a new method for treating the computational problem in discrete timelinear multi-periodic repetitive control systems, where the reference signal includes several periodiccomponents with already known periods. As periods get large, the computational problem becomesprominent. This work thus investigates the frequency contents of reference signals, where the orderof original repetitive controller is lowered by considering only a reduced number of poles, namely, themost important contributors to the total energy of the multi-periodic reference signal. A lower ordermulti-periodic repetitive controller is designed which assures BIBO stability of the closed-loop system,and approximate tracking is achieved. Finally, experimental tests on a non-minimum phase springmass damper system demonstrate the effectiveness of this new controller.http://ijocta.balikesir.edu.tr/index.php/files/article/view/96/33OptimalRepetitive controlComputationMulti-periodicBIBO
collection DOAJ
language English
format Article
sources DOAJ
author Youde Han
David H. Owens
Bing Chu
spellingShingle Youde Han
David H. Owens
Bing Chu
Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme
An International Journal of Optimization and Control: Theories & Applications
Optimal
Repetitive control
Computation
Multi-periodic
BIBO
author_facet Youde Han
David H. Owens
Bing Chu
author_sort Youde Han
title Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme
title_short Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme
title_full Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme
title_fullStr Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme
title_full_unstemmed Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme
title_sort linear optimal multi-periodic repetitive control - a low order controller scheme
publisher Balikesir University
series An International Journal of Optimization and Control: Theories & Applications
issn 2146-0957
2146-5703
publishDate 2012-01-01
description This article proposes a new method for treating the computational problem in discrete timelinear multi-periodic repetitive control systems, where the reference signal includes several periodiccomponents with already known periods. As periods get large, the computational problem becomesprominent. This work thus investigates the frequency contents of reference signals, where the orderof original repetitive controller is lowered by considering only a reduced number of poles, namely, themost important contributors to the total energy of the multi-periodic reference signal. A lower ordermulti-periodic repetitive controller is designed which assures BIBO stability of the closed-loop system,and approximate tracking is achieved. Finally, experimental tests on a non-minimum phase springmass damper system demonstrate the effectiveness of this new controller.
topic Optimal
Repetitive control
Computation
Multi-periodic
BIBO
url http://ijocta.balikesir.edu.tr/index.php/files/article/view/96/33
work_keys_str_mv AT youdehan linearoptimalmultiperiodicrepetitivecontrolalowordercontrollerscheme
AT davidhowens linearoptimalmultiperiodicrepetitivecontrolalowordercontrollerscheme
AT bingchu linearoptimalmultiperiodicrepetitivecontrolalowordercontrollerscheme
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