Anti-windup design for time-delay systems via generalised delay-dependent sector conditions
This study is concerned with the anti-windup design problem for linear time-delay systems with actuator saturation. By utilising the information of the time delay sufficiently, the authors first propose the generalised delay-dependent sector conditions. Then, based on the novel sector conditions, au...
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| Published in | IET control theory & applications Vol. 11; no. 10; pp. 1634 - 1641 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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The Institution of Engineering and Technology
23.06.2017
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| Abstract | This study is concerned with the anti-windup design problem for linear time-delay systems with actuator saturation. By utilising the information of the time delay sufficiently, the authors first propose the generalised delay-dependent sector conditions. Then, based on the novel sector conditions, augmented Lyapunov–Krasovskii functionals and several integral inequalities, improved delay-dependent sufficient conditions are established for saturated time-delay systems in terms of linear matrix inequalities, which ensure the existence of the anti-windup gain. Finally, numerical examples demonstrate the effectiveness and the reduced conservatism of the results in this study. |
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| AbstractList | This study is concerned with the anti‐windup design problem for linear time‐delay systems with actuator saturation. By utilising the information of the time delay sufficiently, the authors first propose the generalised delay‐dependent sector conditions. Then, based on the novel sector conditions, augmented Lyapunov–Krasovskii functionals and several integral inequalities, improved delay‐dependent sufficient conditions are established for saturated time‐delay systems in terms of linear matrix inequalities, which ensure the existence of the anti‐windup gain. Finally, numerical examples demonstrate the effectiveness and the reduced conservatism of the results in this study. |
| Author | Fei, Shumin Li, Yongmin Chen, Yonggang |
| Author_xml | – sequence: 1 givenname: Yonggang surname: Chen fullname: Chen, Yonggang organization: 1School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, People's Republic of China – sequence: 2 givenname: Yongmin surname: Li fullname: Li, Yongmin organization: 2School of Science, Huzhou Teachers College, Huzhou 313000, People's Republic of China – sequence: 3 givenname: Shumin surname: Fei fullname: Fei, Shumin email: smfei@seu.edu.cn organization: 3School of Automation, Southeast University, Nanjing 210096, People's Republic of China |
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| CitedBy_id | crossref_primary_10_1016_j_isatra_2023_01_001 crossref_primary_10_1016_j_jfranklin_2019_10_009 crossref_primary_10_1016_j_amc_2025_129413 crossref_primary_10_1016_j_jfranklin_2020_02_008 crossref_primary_10_1155_2020_7025761 crossref_primary_10_1007_s12555_021_0896_0 crossref_primary_10_1080_00207721_2022_2043483 crossref_primary_10_1007_s00034_020_01414_w crossref_primary_10_1002_rnc_4838 crossref_primary_10_3934_math_20241346 crossref_primary_10_1007_s40313_023_01031_3 |
| Cites_doi | 10.1002/rnc.1436 10.23919/ECC.2009.7074421 10.1109/TAC.2004.841128 10.1002/rnc.1384 10.1016/j.sysconle.2015.03.007 10.1016/j.automatica.2008.08.005 10.1002/rnc.1525 10.1007/978-1-4612-0205-9 10.1016/j.neucom.2015.10.062 10.1002/rnc.899 10.1109/9.981734 10.1049/iet-cta.2013.0569 10.1016/j.neucom.2016.08.020 10.1016/S0167-6911(03)00207-X 10.1016/j.automatica.2014.11.015 10.1007/978-1-4612-0039-0 10.1109/TAC.2008.921036 10.1080/00207720802300370 10.1016/j.neucom.2012.09.040 10.1007/978-0-85729-941-3 10.1002/rnc.852 10.1109/81.983870 10.1002/rnc.3372 10.1007/978-3-319-09393-2 10.1016/j.automatica.2013.05.030 10.1016/j.automatica.2008.03.009 10.1109/TAC.2007.899007 10.1016/j.isatra.2010.11.003 10.1080/00207720903353575 10.1109/TAC.2006.887907 10.1515/9781400839025 10.1016/j.automatica.2010.10.014 10.3166/ejc.12.622-634 |
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| Copyright | The Institution of Engineering and Technology 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology |
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| Keywords | delay systems improved delay-dependent sufficient conditions control system synthesis linear systems actuators linear matrix inequalities control nonlinearities generalised delay-dependent sector conditions antiwindup design actuator saturation augmented Lyapunov-Krasovskii functionals saturated time-delay systems linear time-delay systems Lyapunov methods |
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| Snippet | This study is concerned with the anti-windup design problem for linear time-delay systems with actuator saturation. By utilising the information of the time... This study is concerned with the anti‐windup design problem for linear time‐delay systems with actuator saturation. By utilising the information of the time... |
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| StartPage | 1634 |
| SubjectTerms | actuator saturation actuators antiwindup design augmented Lyapunov‐Krasovskii functionals Brief Paper control nonlinearities control system synthesis delay systems generalised delay‐dependent sector conditions improved delay‐dependent sufficient conditions linear matrix inequalities linear systems linear time‐delay systems Lyapunov methods saturated time‐delay systems |
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| Title | Anti-windup design for time-delay systems via generalised delay-dependent sector conditions |
| URI | http://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0785 https://onlinelibrary.wiley.com/doi/abs/10.1049%2Fiet-cta.2016.0785 |
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