Decentralized adaptive proportional‐integral tracking control for strong interconnected nonlinear systems subject to unmodeled dynamics and uncertain input delays
In this paper, the problem of decentralized adaptive proportional‐integral (PI) tracking control is investigated for a class of strong interconnected nonlinear systems in presence of unmodeled dynamics and uncertain input delays. A novel compensation mechanism is proposed to deal with the considered...
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| Published in | International journal of robust and nonlinear control Vol. 34; no. 12; pp. 7859 - 7890 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
01.08.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1049-8923 1099-1239 |
| DOI | 10.1002/rnc.7370 |
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| Abstract | In this paper, the problem of decentralized adaptive proportional‐integral (PI) tracking control is investigated for a class of strong interconnected nonlinear systems in presence of unmodeled dynamics and uncertain input delays. A novel compensation mechanism is proposed to deal with the considered strong interconnection functions by applying a smooth switching function to the design algorithm, and the difficulty generated by unmodeled dynamics is dominated by using a dynamic auxiliary signal. By utilizing the suitable error transformations and selecting the appropriate Lyapunov‐Krasovskii function, the effects of uncertain input delays could be surmounted. The novelty of this study is that, for the first time, a new decentralized adaptive PI tracking control scheme including a switching compensation mechanism is developed for the considered strong interconnected nonlinear systems. It is proved that all the signals in the closed‐loop systems are uniformly ultimately bounded (UUB) and the tracking errors converge to a bounded compact set. Finally, a simulation example is carried out to illustrate the effectiveness of the proposed approach. |
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| AbstractList | In this paper, the problem of decentralized adaptive proportional‐integral (PI) tracking control is investigated for a class of strong interconnected nonlinear systems in presence of unmodeled dynamics and uncertain input delays. A novel compensation mechanism is proposed to deal with the considered strong interconnection functions by applying a smooth switching function to the design algorithm, and the difficulty generated by unmodeled dynamics is dominated by using a dynamic auxiliary signal. By utilizing the suitable error transformations and selecting the appropriate Lyapunov‐Krasovskii function, the effects of uncertain input delays could be surmounted. The novelty of this study is that, for the first time, a new decentralized adaptive PI tracking control scheme including a switching compensation mechanism is developed for the considered strong interconnected nonlinear systems. It is proved that all the signals in the closed‐loop systems are uniformly ultimately bounded (UUB) and the tracking errors converge to a bounded compact set. Finally, a simulation example is carried out to illustrate the effectiveness of the proposed approach. |
| Author | Shen, Kaihui Sha, Xianqing He, Jiaqi Gao, Zhifeng |
| Author_xml | – sequence: 1 givenname: Zhifeng orcidid: 0000-0003-2746-5097 surname: Gao fullname: Gao, Zhifeng email: gaozhifeng80@126.com organization: Nanjing University of Posts and Telecommunications – sequence: 2 givenname: Xianqing surname: Sha fullname: Sha, Xianqing organization: Nanjing University of Posts and Telecommunications – sequence: 3 givenname: Jiaqi surname: He fullname: He, Jiaqi organization: Nanjing University of Posts and Telecommunications – sequence: 4 givenname: Kaihui surname: Shen fullname: Shen, Kaihui organization: Nanjing University of Posts and Telecommunications |
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| Cites_doi | 10.1109/JAS.2021.1004246 10.1016/j.jde.2009.09.003 10.1016/j.ins.2019.09.072 10.1109/TNNLS.2020.2985417 10.1007/s11432-010-0075-z 10.1109/TNNLS.2018.2866622 10.1109/TNNLS.2017.2751256 10.1016/S0005-1098(98)00018-1 10.1109/TNNLS.2017.2716952 10.1177/0142331217726956 10.1002/acs.2980 10.1002/acs.3283 10.1109/TAC.2016.2554362 10.1080/00207179.2021.1939421 10.1016/j.sysconle.2013.11.011 10.1109/TSMC.2019.2956997 10.1109/TCSI.2021.3098830 10.1016/j.automatica.2018.01.030 10.1016/j.ejcon.2019.12.004 10.1016/j.automatica.2018.03.018 10.1080/00207179.2021.1934734 10.1109/TSMC.2019.2918142 10.1109/TFUZZ.2017.2694799 10.1016/j.jfranklin.2018.08.006 10.1109/9.506250 10.1016/j.automatica.2016.10.019 10.1109/TNNLS.2019.2958948 10.1016/j.neucom.2018.10.091 10.1109/TNNLS.2017.2690465 10.1016/j.fss.2014.10.009 10.1109/TAC.2020.3014292 10.1109/TFUZZ.2020.2992632 10.1016/j.jfranklin.2019.06.012 10.1109/TIE.2019.2947844 |
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| SubjectTerms | Adaptive control adaptive PI tracking control Algorithms Compensation Dynamical systems Effectiveness interconnected nonlinear systems Nonlinear systems Switching Tracking control Tracking errors uncertain input delays unmodeled dynamics |
| Title | Decentralized adaptive proportional‐integral tracking control for strong interconnected nonlinear systems subject to unmodeled dynamics and uncertain input delays |
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