Intersample optimization in a sampled-data control system using the redundancy of a dual-rate system
The present study discusses the design method for controlling a single-input/single-output linear time-invariant dual-rate system, where the sampling interval of the plant output is longer than the holding interval of the control input. In such a dual-rate system, the intersample output might oscill...
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| Published in | Journal of the Franklin Institute Vol. 358; no. 8; pp. 4483 - 4502 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.05.2021
Elsevier Science Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0016-0032 1879-2693 0016-0032 |
| DOI | 10.1016/j.jfranklin.2020.10.048 |
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| Abstract | The present study discusses the design method for controlling a single-input/single-output linear time-invariant dual-rate system, where the sampling interval of the plant output is longer than the holding interval of the control input. In such a dual-rate system, the intersample output might oscillate even when the sampled output converges to the reference input in the steady state. In a conventional ripple-free method, an existing control law is extended by introducing an exogenous variable, which is independent of the discrete-time sampled response, and the exogenous variable is designed for eliminating the steady-state intersample ripples without changing the existing sampled response. In another method, since a control law is designed such that the intersample performance is optimized, the intersample ripples are eliminated in the transient as well as steady states. However, the preservation of an existing sampled response is not taken into account. The present study proposes a new design method for eliminating the intersample ripples subject to the existing sampled response. In the proposed method, the continuous-time index is optimized subject to the existing discrete-time response. As a result, the intersample ripples are eliminated in the transient as well as steady states, and the existing discrete-time sampled response is maintained. The proposed method is compared to the conventional dual-rate design methods in numerical examples, and the effectiveness of the method is demonstrated. |
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| AbstractList | The present study discusses the design method for controlling a single-input/single-output linear time-invariant dual-rate system, where the sampling interval of the plant output is longer than the holding interval of the control input. In such a dual-rate system, the intersample output might oscillate even when the sampled output converges to the reference input in the steady state. In a conventional ripple-free method, an existing control law is extended by introducing an exogenous variable, which is independent of the discrete-time sampled response, and the exogenous variable is designed for eliminating the steady-state intersample ripples without changing the existing sampled response. In another method, since a control law is designed such that the intersample performance is optimized, the intersample ripples are eliminated in the transient as well as steady states. However, the preservation of an existing sampled response is not taken into account. The present study proposes a new design method for eliminating the intersample ripples subject to the existing sampled response. In the proposed method, the continuous-time index is optimized subject to the existing discrete-time response. As a result, the intersample ripples are eliminated in the transient as well as steady states, and the existing discrete-time sampled response is maintained. The proposed method is compared to the conventional dual-rate design methods in numerical examples, and the effectiveness of the method is demonstrated. |
| Author | Inoue, A. Yasui, R. Kawaguchi, N. Sato, T. |
| Author_xml | – sequence: 1 givenname: R. surname: Yasui fullname: Yasui, R. organization: Department of Mechanical Engineering, Graduate School of Engineering, University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan – sequence: 2 givenname: N. surname: Kawaguchi fullname: Kawaguchi, N. organization: Department of Mechanical Engineering, Graduate School of Engineering, University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan – sequence: 3 givenname: T. surname: Sato fullname: Sato, T. email: tsato@eng.u-hyogo.ac.jp organization: Department of Mechanical Engineering, Graduate School of Engineering, University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan – sequence: 4 givenname: A. surname: Inoue fullname: Inoue, A. organization: Okayama University, 3-1-1, Tsushima-Naka, Kitaku, Okayama-shi, 700-0082, Japan |
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| Cites_doi | 10.1109/TIE.2016.2608878 10.1109/SMC.2018.00452 10.1109/ICT-ROBOT.2018.8549914 10.1109/TAC.2018.2863188 10.1016/j.automatica.2008.10.022 10.1109/ETFA.2017.8247751 10.1016/j.automatica.2009.01.013 10.1049/ip-cta:19960630 10.1109/TAC.1986.1104205 10.1109/TMAG.2002.801863 10.1109/CDC.2001.980122 10.1109/TMECH.2005.848293 10.1016/j.automatica.2017.04.027 10.1016/j.neunet.2020.01.024 10.1016/S0005-1098(01)00116-9 10.1080/00207170701216329 10.1109/TAC.1957.1104783 |
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| SubjectTerms | Control methods Control systems Control theory Discrete element method Indexing Numerical analysis Numerical methods Optimization Redundancy Ripples Steady state Time response |
| Title | Intersample optimization in a sampled-data control system using the redundancy of a dual-rate system |
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