Design of a multi-rate control system in state-space representation using input redundancy
This paper discusses a design method for controlling a single-input single-output linear time-invariant sampled-data multi-rate control system, where the sampling interval of a plant output is longer than the holding interval of a control input. In such a sampled-data control system, the control inp...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2019-05-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/85/873/85_18-00400/_pdf/-char/en |
| _version_ | 1798015078370377728 |
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| author | Ryota YASUI Natsuki KAWAGUCHI Takao SATO Nozomu ARAKI Yasuo KONISHI |
| author_facet | Ryota YASUI Natsuki KAWAGUCHI Takao SATO Nozomu ARAKI Yasuo KONISHI |
| author_sort | Ryota YASUI |
| collection | DOAJ |
| description | This paper discusses a design method for controlling a single-input single-output linear time-invariant sampled-data multi-rate control system, where the sampling interval of a plant output is longer than the holding interval of a control input. In such a sampled-data control system, the control input can be changed between the sampling instants. Hence, even if the sampled output converges to the reference input, the intersample output may oscillate. Such an intersample oscillation is eliminated when the control input is constant. In a conventional method, a control law is extended using an additional signal which is independent of the reference response in the discrete time, and the additional signal is designed so that the control input is constant in the steady state. The conventional method is designed based on the transfer function model, on the other hand, the proposed method is designed using the state-space model. Furthermore, a new design method of the additional input is proposed using the input redundancy which is defined by strongly input redundant or weakly input redundant. Finally, the effectiveness of the proposed method is demonstrated through numerical examples. |
| first_indexed | 2024-04-11T15:28:38Z |
| format | Article |
| id | doaj.art-12332c0f2361475f82d2f502278eaca2 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T15:28:38Z |
| publishDate | 2019-05-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-12332c0f2361475f82d2f502278eaca22022-12-22T04:16:11ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612019-05-018587318-0040018-0040010.1299/transjsme.18-00400transjsmeDesign of a multi-rate control system in state-space representation using input redundancyRyota YASUI0Natsuki KAWAGUCHI1Takao SATO2Nozomu ARAKI3Yasuo KONISHI4Graduate School of Engineering, University of HyogoGraduate School of Engineering, University of HyogoGraduate School of Engineering, University of HyogoGraduate School of Engineering, University of HyogoGraduate School of Engineering, University of HyogoThis paper discusses a design method for controlling a single-input single-output linear time-invariant sampled-data multi-rate control system, where the sampling interval of a plant output is longer than the holding interval of a control input. In such a sampled-data control system, the control input can be changed between the sampling instants. Hence, even if the sampled output converges to the reference input, the intersample output may oscillate. Such an intersample oscillation is eliminated when the control input is constant. In a conventional method, a control law is extended using an additional signal which is independent of the reference response in the discrete time, and the additional signal is designed so that the control input is constant in the steady state. The conventional method is designed based on the transfer function model, on the other hand, the proposed method is designed using the state-space model. Furthermore, a new design method of the additional input is proposed using the input redundancy which is defined by strongly input redundant or weakly input redundant. Finally, the effectiveness of the proposed method is demonstrated through numerical examples.https://www.jstage.jst.go.jp/article/transjsme/85/873/85_18-00400/_pdf/-char/enmulti-rate systemstate-space representationinput redundancystrong input redundancyweak input redundancyrippleintersample output |
| spellingShingle | Ryota YASUI Natsuki KAWAGUCHI Takao SATO Nozomu ARAKI Yasuo KONISHI Design of a multi-rate control system in state-space representation using input redundancy Nihon Kikai Gakkai ronbunshu multi-rate system state-space representation input redundancy strong input redundancy weak input redundancy ripple intersample output |
| title | Design of a multi-rate control system in state-space representation using input redundancy |
| title_full | Design of a multi-rate control system in state-space representation using input redundancy |
| title_fullStr | Design of a multi-rate control system in state-space representation using input redundancy |
| title_full_unstemmed | Design of a multi-rate control system in state-space representation using input redundancy |
| title_short | Design of a multi-rate control system in state-space representation using input redundancy |
| title_sort | design of a multi rate control system in state space representation using input redundancy |
| topic | multi-rate system state-space representation input redundancy strong input redundancy weak input redundancy ripple intersample output |
| url | https://www.jstage.jst.go.jp/article/transjsme/85/873/85_18-00400/_pdf/-char/en |
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