Sliding mode control of discrete‐time switched systems subject to mode delays
Summary This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals, which may result in the asynchronous phenomenon between the controller and the switched system. Since the mode information of the controlled...
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Published in | International journal of robust and nonlinear control Vol. 30; no. 4; pp. 1467 - 1486 |
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Format | Journal Article |
Language | English |
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10.03.2020
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Abstract | Summary
This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals, which may result in the asynchronous phenomenon between the controller and the switched system. Since the mode information of the controlled system is not available for the controller in time, a mode‐independent sliding surface will be introduced, by which an asynchronous sliding mode controller is designed, whose control gain and robust parameter will be changing according to the controller mode. In the analysis on the stability of the closed‐loop control system and the reachability of the specified sliding surface, the asynchronous characteristics are detailedly investigated. It is shown that the Lyapunov function may be not always decreasing along the state trajectories during the unmatched interval of controller modes and system modes. Nevertheless, it is proven that the state trajectories can be driven into a sliding region around the specified sliding surface in finite time. Finally, some numerical simulation results are provided. |
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AbstractList | Summary
This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals, which may result in the asynchronous phenomenon between the controller and the switched system. Since the mode information of the controlled system is not available for the controller in time, a mode‐independent sliding surface will be introduced, by which an asynchronous sliding mode controller is designed, whose control gain and robust parameter will be changing according to the controller mode. In the analysis on the stability of the closed‐loop control system and the reachability of the specified sliding surface, the asynchronous characteristics are detailedly investigated. It is shown that the Lyapunov function may be not always decreasing along the state trajectories during the unmatched interval of controller modes and system modes. Nevertheless, it is proven that the state trajectories can be driven into a sliding region around the specified sliding surface in finite time. Finally, some numerical simulation results are provided. This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals, which may result in the asynchronous phenomenon between the controller and the switched system. Since the mode information of the controlled system is not available for the controller in time, a mode‐independent sliding surface will be introduced, by which an asynchronous sliding mode controller is designed, whose control gain and robust parameter will be changing according to the controller mode. In the analysis on the stability of the closed‐loop control system and the reachability of the specified sliding surface, the asynchronous characteristics are detailedly investigated. It is shown that the Lyapunov function may be not always decreasing along the state trajectories during the unmatched interval of controller modes and system modes. Nevertheless, it is proven that the state trajectories can be driven into a sliding region around the specified sliding surface in finite time. Finally, some numerical simulation results are provided. |
Author | Zhao, Haijuan Niu, Yugang |
Author_xml | – sequence: 1 givenname: Haijuan surname: Zhao fullname: Zhao, Haijuan organization: (East China University of Science and Technology), Ministry of Education – sequence: 2 givenname: Yugang orcidid: 0000-0002-3010-1879 surname: Niu fullname: Niu, Yugang email: acniuyg@ecust.edu.cn organization: (East China University of Science and Technology), Ministry of Education |
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Cites_doi | 10.1109/TCSII.2018.2875777 10.1007/978-0-85729-256-8 10.1016/j.ins.2018.09.002 10.1109/TAC.2011.2178629 10.1002/rnc.3366 10.1002/rnc.4449 10.1049/iet-cta.2008.0150 10.1007/s11071-018-4334-7 10.1016/j.jfranklin.2017.08.028 10.1002/rnc.4369 10.1109/TAC.2015.2477976 10.1016/j.automatica.2010.02.021 10.1109/TAC.2012.2211456 10.1016/j.automatica.2018.03.037 10.1002/acs.1030 10.1007/s12555-018-0093-y 10.1109/TCSI.2018.2797257 10.1109/TAC.2014.2366253 10.1109/TCST.2015.2416314 10.1049/iet-cta.2012.0569 10.1016/j.jfranklin.2013.09.020 10.1109/TCST.2018.2802467 10.1109/TAC.2005.861716 10.1016/j.automatica.2018.02.011 10.1016/j.automatica.2017.01.026 10.1109/TAC.2019.2926156 10.1080/00207721.2018.1435838 10.1016/j.jfranklin.2019.05.019 10.1002/rnc.2961 10.1016/j.automatica.2015.08.008 10.1109/TIE.2018.2838113 10.1109/37.793443 10.1016/j.automatica.2017.04.032 10.1109/TAC.2016.2604924 |
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This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals,... This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals, which... |
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SubjectTerms | asynchronous switching Computer simulation Control stability Control systems design Controllers Liapunov functions mode delay Parameter robustness Robust control Robustness (mathematics) Sliding mode control Stability analysis switched systems |
Title | Sliding mode control of discrete‐time switched systems subject to mode delays |
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