Stabilisability analysis and design of UDE-based robust control
The uncertainty and disturbance estimator (UDE)-based robust control approach is widely investigated and applied due to its excellent performance and simple implementation. However, its stabilisability of unstable systems has not been documented. In this study, the sufficient and necessary stabilisa...
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| Published in | IET control theory & applications Vol. 13; no. 10; pp. 1445 - 1453 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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The Institution of Engineering and Technology
02.07.2019
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| Abstract | The uncertainty and disturbance estimator (UDE)-based robust control approach is widely investigated and applied due to its excellent performance and simple implementation. However, its stabilisability of unstable systems has not been documented. In this study, the sufficient and necessary stabilisability conditions of the UDE-based robust control are investigated. According to the stabilisability conditions, a systematical design method is presented for the reference model based on the controllable canonical transformation and pole placement. This is then applied to a magnetic levitation system (MagLev) subject to model uncertainties and external disturbance as an example. Simulation results are presented to illustrate the effectiveness of the proposed control approach with respect to matched uncertainties. |
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| AbstractList | The uncertainty and disturbance estimator (UDE)‐based robust control approach is widely investigated and applied due to its excellent performance and simple implementation. However, its stabilisability of unstable systems has not been documented. In this study, the sufficient and necessary stabilisability conditions of the UDE‐based robust control are investigated. According to the stabilisability conditions, a systematical design method is presented for the reference model based on the controllable canonical transformation and pole placement. This is then applied to a magnetic levitation system (MagLev) subject to model uncertainties and external disturbance as an example. Simulation results are presented to illustrate the effectiveness of the proposed control approach with respect to matched uncertainties. |
| Author | Tian, Zhen Ren, Beibei Zhong, Qing-Chang Yuan, Jingqi |
| Author_xml | – sequence: 1 givenname: Zhen surname: Tian fullname: Tian, Zhen organization: 2Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA – sequence: 2 givenname: Qing-Chang surname: Zhong fullname: Zhong, Qing-Chang email: zhongqc@ieee.org organization: 2Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA – sequence: 3 givenname: Beibei surname: Ren fullname: Ren, Beibei organization: 3Department of Mechanical Engineering, Texas Tech University, Lubbock,TX 79409-1021, USA – sequence: 4 givenname: Jingqi surname: Yuan fullname: Yuan, Jingqi organization: 1Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China |
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| Cites_doi | 10.1109/TASE.2016.2575845 10.1115/1.1850529 10.1016/j.isatra.2013.09.021 10.1109/TIE.2008.2011621 10.1177/0142331216630585 10.1109/TIE.2015.2421884 10.1109/TIE.2017.2677309 10.1109/TIE.2015.2478397 10.1002/rnc.3639 10.1109/TIE.2018.2811367 10.1109/TIE.2018.2833035 10.1109/TIE.2018.2831182 10.1002/rnc.1674 10.1155/2014/982101 10.1016/j.chaos.2018.07.028 10.1109/TIE.2016.2584005 10.1109/VSS.2016.7506885 10.1109/TIE.2012.2183841 10.1109/TIE.2016.2586439 10.1016/j.automatica.2018.03.080 10.1109/TIE.2016.2633473 10.1109/TIE.2016.2609378 10.1016/j.ifacol.2015.12.350 10.1109/TIE.2018.2847652 10.1109/TIE.2017.2698371 10.1007/s40435-016-0260-z 10.1177/0954410016641617 10.1016/j.isatra.2011.01.006 10.1080/00207179.2015.1126678 10.1016/0005-1098(76)90006-6 |
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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 | control approach uncertain systems sufficient stabilisability conditions controllable canonical transformation control system synthesis magnetic levitation uncertainty pole placement necessary stabilisability conditions systematical design method robust control UDE-based robust control stability |
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| SubjectTerms | control approach control system synthesis controllable canonical transformation magnetic levitation necessary stabilisability conditions pole placement Research Article robust control stability sufficient stabilisability conditions systematical design method UDE‐based robust control uncertain systems uncertainty |
| Title | Stabilisability analysis and design of UDE-based robust control |
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