Performance Improvement of Discrete-time Linear Control Systems Subject to Varying Sampling Rates Using the Tikhonov Regularization Method
Methods to stabilize discrete-time linear control systems subject to variable sampling rates, i.e., using state feedback controllers, are well known in the literature. Several recent works address the use of the Tikhonov regularization method, originally designed to attenuate the noise effects on il...
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| Published in | International journal of automation and computing Vol. 17; no. 3; pp. 453 - 463 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Beijing
Institute of Automation, Chinese Academy of Sciences
01.06.2020
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1476-8186 2153-182X 1751-8520 2153-1838 |
| DOI | 10.1007/s11633-019-1205-8 |
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| Abstract | Methods to stabilize discrete-time linear control systems subject to variable sampling rates, i.e., using state feedback controllers, are well known in the literature. Several recent works address the use of the Tikhonov regularization method, originally designed to attenuate the noise effects on ill-posed problems, with the aim of improving performance and stabilizing approximately controllable dynamical systems. Inspired by these works, we propose the use of a feedback controller designed using the Tikhonov method to regularize discrete-time linear systems subject to varying sampling rates. The goal is to minimize an error function, thus improving the performance of the closed loop system and reducing the possibility of instability. Illustrative examples show the effectiveness of the proposed method. |
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| AbstractList | Methods to stabilize discrete-time linear control systems subject to variable sampling rates, i.e., using state feedback controllers, are well known in the literature. Several recent works address the use of the Tikhonov regularization method, originally designed to attenuate the noise effects on ill-posed problems, with the aim of improving performance and stabilizing approximately controllable dynamical systems. Inspired by these works, we propose the use of a feedback controller designed using the Tikhonov method to regularize discrete-time linear systems subject to varying sampling rates. The goal is to minimize an error function, thus improving the performance of the closed loop system and reducing the possibility of instability. Illustrative examples show the effectiveness of the proposed method. |
| Author | Zanini, Anibal Bhaya, Amit Pazos, Fernando Agustín |
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| Cites_doi | 10.1090/S0025-5718-1987-0906185-4 10.1007/s11633-016-0966-6 10.1137/S1064827593252672 10.1016/j.automatica.2017.04.032 10.3724/SP.J.1087.2013.01317 10.1137/05063516X 10.1016/j.amc.2017.08.012 10.1016/j.automatica.2005.05.017 10.1007/s11075-012-9612-8 10.1080/00207720600681161 10.1007/s11633-012-0672-y 10.1049/ip-cta:20030704 10.1080/00207170701670442 10.1016/j.automatica.2019.01.029 10.1007/s11633-014-0849-7 10.1016/j.matcom.2011.01.016 10.1007/s11075-007-9136-9 10.1080/01630563.2017.1361440 10.1109/9.24205 10.1137/0914086 10.1109/TAC.2004.829632 10.1016/j.cam.2014.10.022 10.1109/CDC.1997.657066 10.1007/978-1-4612-4224-6 10.1007/978-94-009-1740-8 10.1088/0266-5611/14/5/010 10.1080/00401706.1979.10489751 10.1109/ACC.1995.531240 10.1080/23311835.2016.1216241 10.1007/978-3-540-24743-212 10.1088/1742-6596/839/1/012002 10.1109/ACC.2002.1025245 |
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| Copyright | Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2019 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2019. |
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| Keywords | varying sampling rates networked control systems discrete-time control systems Tikhonov regularization Discrete-time switched systems |
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| Title | Performance Improvement of Discrete-time Linear Control Systems Subject to Varying Sampling Rates Using the Tikhonov Regularization Method |
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