H∞ attenuation of disturbance switching over multiple frequency ranges
Summary This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequenc...
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| Published in: | International journal of robust and nonlinear control Vol. 34; no. 11; pp. 7520 - 7546 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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Bognor Regis
Wiley Subscription Services, Inc
25.07.2024
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| ISSN: | 1049-8923, 1099-1239 |
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| Abstract | Summary
This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequency ranges, subject to an average dwell time setting, or the disturbance may reside within one of the frequency ranges. To address these scenarios, a disturbance‐triggered control scheme is developed that divides the entire frequency range into low‐, mid‐, and high‐frequency ranges. This scheme ensures closed‐loop stability under average dwell time frequency‐range switching and achieves H∞$$ {H}_{\infty } $$ performance when operated under individual frequency ranges. Synthesis conditions in matrix inequalities are derived to characterize the switching control, and an iterative algorithm is proposed for finding a desired set of controller gains. Finally, two examples are presented to illustrate the effectiveness of the proposed control method. |
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| AbstractList | This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequency ranges, subject to an average dwell time setting, or the disturbance may reside within one of the frequency ranges. To address these scenarios, a disturbance‐triggered control scheme is developed that divides the entire frequency range into low‐, mid‐, and high‐frequency ranges. This scheme ensures closed‐loop stability under average dwell time frequency‐range switching and achieves performance when operated under individual frequency ranges. Synthesis conditions in matrix inequalities are derived to characterize the switching control, and an iterative algorithm is proposed for finding a desired set of controller gains. Finally, two examples are presented to illustrate the effectiveness of the proposed control method. Summary This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequency ranges, subject to an average dwell time setting, or the disturbance may reside within one of the frequency ranges. To address these scenarios, a disturbance‐triggered control scheme is developed that divides the entire frequency range into low‐, mid‐, and high‐frequency ranges. This scheme ensures closed‐loop stability under average dwell time frequency‐range switching and achieves H∞$$ {H}_{\infty } $$ performance when operated under individual frequency ranges. Synthesis conditions in matrix inequalities are derived to characterize the switching control, and an iterative algorithm is proposed for finding a desired set of controller gains. Finally, two examples are presented to illustrate the effectiveness of the proposed control method. This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequency ranges, subject to an average dwell time setting, or the disturbance may reside within one of the frequency ranges. To address these scenarios, a disturbance‐triggered control scheme is developed that divides the entire frequency range into low‐, mid‐, and high‐frequency ranges. This scheme ensures closed‐loop stability under average dwell time frequency‐range switching and achieves H∞$$ {H}_{\infty } $$ performance when operated under individual frequency ranges. Synthesis conditions in matrix inequalities are derived to characterize the switching control, and an iterative algorithm is proposed for finding a desired set of controller gains. Finally, two examples are presented to illustrate the effectiveness of the proposed control method. |
| Author | Lam, James Cheng, Peng Song, Xiaoqi Liu, Jason J. R. Cai, Chenxiao |
| Author_xml | – sequence: 1 givenname: Chenxiao surname: Cai fullname: Cai, Chenxiao organization: Nanjing University of Science and Technology – sequence: 2 givenname: Xiaoqi orcidid: 0000-0002-8128-6711 surname: Song fullname: Song, Xiaoqi email: xqsong@connect.hku.hk organization: The University of Hong Kong – sequence: 3 givenname: Jason J. R. surname: Liu fullname: Liu, Jason J. R. email: jasonliu@um.edu.mo organization: University of Macau – sequence: 4 givenname: Peng surname: Cheng fullname: Cheng, Peng organization: University of Macau – sequence: 5 givenname: James orcidid: 0000-0002-0294-0640 surname: Lam fullname: Lam, James organization: HKU Shenzhen Institute of Research and Innovation (HKU‐SIRI) |
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This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges.... This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two... |
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| SubjectTerms | average dwell time Control methods disturbance attenuation Dwell time Frequency ranges generalized Kalman‐Yakubovich‐Popov lemma H-infinity control H∞$$ {H}_{\infty } $$ control Iterative algorithms switched system Switching Time setting |
| Title | H∞ attenuation of disturbance switching over multiple frequency ranges |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1002%2Frnc.7357 https://www.proquest.com/docview/3064764470 |
| Volume | 34 |
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