Fixed-time stabilization of periodic linear systems and its application to the elliptical spacecraft rendezvous
A smooth periodic delayed feedback (SPDF) control scheme is proposed for the fixed-time stabilization problem of linear periodic systems subject to input delay. By investigating the monodromy matrix of the periodic system, it is proved that the SPDF controller can achieve the fixed-time stabilizatio...
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| Published in | Journal of the Franklin Institute Vol. 360; no. 12; pp. 7832 - 7850 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.08.2023
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| Online Access | Get full text |
| ISSN | 0016-0032 1879-2693 |
| DOI | 10.1016/j.jfranklin.2023.06.020 |
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| Abstract | A smooth periodic delayed feedback (SPDF) control scheme is proposed for the fixed-time stabilization problem of linear periodic systems subject to input delay. By investigating the monodromy matrix of the periodic system, it is proved that the SPDF controller can achieve the fixed-time stabilization of linear periodic systems with arbitrarily long yet bounded input delays under the condition that the original system is uniformly completely controllable. The proposed controller is continuously differentiable and smooth. The SPDF control scheme is then applied to the elliptical spacecraft rendezvous problem. The effectiveness of the established method is verified on numerical simulations. |
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| AbstractList | A smooth periodic delayed feedback (SPDF) control scheme is proposed for the fixed-time stabilization problem of linear periodic systems subject to input delay. By investigating the monodromy matrix of the periodic system, it is proved that the SPDF controller can achieve the fixed-time stabilization of linear periodic systems with arbitrarily long yet bounded input delays under the condition that the original system is uniformly completely controllable. The proposed controller is continuously differentiable and smooth. The SPDF control scheme is then applied to the elliptical spacecraft rendezvous problem. The effectiveness of the established method is verified on numerical simulations. |
| Author | Yang, Xuefei Jiang, Huaiyuan Zhang, Zhe |
| Author_xml | – sequence: 1 givenname: Zhe orcidid: 0000-0001-8995-7199 surname: Zhang fullname: Zhang, Zhe organization: Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing University of Information Science and Technology, Nanjing 210044, China – sequence: 2 givenname: Huaiyuan surname: Jiang fullname: Jiang, Huaiyuan organization: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China – sequence: 3 givenname: Xuefei orcidid: 0000-0002-1464-6721 surname: Yang fullname: Yang, Xuefei email: xfyang1989@163.com organization: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China |
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| Cites_doi | 10.1016/j.automatica.2019.108760 10.1109/TAC.2021.3051262 10.1016/j.jfranklin.2017.09.029 10.1109/TCST.2015.2411228 10.2514/1.52372 10.1109/87.974341 10.2514/2.4875 10.2514/1.24171 10.1002/rnc.5495 10.1016/j.sysconle.2007.12.002 10.1002/rnc.4084 10.1137/100796455 10.1007/s00498-005-0151-x 10.1002/rnc.5866 10.1109/TCST.2010.2051228 10.1002/rnc.3545 10.2514/1.9586 10.1109/TAC.2015.2438428 10.1109/TCST.2013.2262768 10.1016/j.jprocont.2007.03.001 10.1016/S0167-6911(02)00119-6 10.1109/63.867672 10.1109/TCAD.2005.852674 10.1109/TSMC.2022.3187018 10.2514/1.56326 10.2514/2.4211 10.1002/rnc.2827 10.2514/8.8704 10.1002/nme.6368 10.1016/j.jsv.2008.10.030 |
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| Title | Fixed-time stabilization of periodic linear systems and its application to the elliptical spacecraft rendezvous |
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