Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback
In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple fee...
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| Published in | Chinese physics B Vol. 22; no. 8; pp. 346 - 355 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.08.2013
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 1741-4199 |
| DOI | 10.1088/1674-1056/22/8/080507 |
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| Abstract | In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment. |
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| AbstractList | In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal propagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment. In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment. |
| Author | 顾卫东 孙志勇 吴晓明 于长斌 |
| AuthorAffiliation | Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China |
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| Cites_doi | 10.7498/aps.58.131 10.1063/1.3421947 10.1016/j.physrep.2012.03.002 10.1103/PhysRevLett.78.4193 10.1063/1.3623440 10.1063/1.3127599 10.1016/S0375-9601(01)00824-6 10.1140/epjb/e2011-20818-1 10.1016/S0370-1573(02)00137-0 10.1088/1674-1056/21/2/020509 10.1515/zna-2011-1-202 10.7498/aps.61.180503 10.1088/1674-1056/21/5/050508 10.1109/TNNLS.2011.2179312 10.1016/j.cnsns.2006.05.005 10.1016/j.cnsns.2011.12.011 10.1007/s11071-011-0230-0 10.1016/j.camwa.2010.08.092 10.1016/j.physd.2004.02.005 10.1007/978-94-010-0217-2 10.1088/1674-1056/21/7/070701 10.1016/j.physa.2006.09.020 10.1126/science.267326 10.1016/j.automatica.2009.03.022 10.1103/PhysRevE.71.037203 10.1016/j.physleta.2010.06.064 10.1103/PhysRevE.73.066204 10.1016/j.ijnonlinmec.2009.01.001 10.1016/j.physleta.2011.02.008 10.1007/s11071-010-9729-z 10.1088/1674-1056/20/9/090512 |
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| DocumentTitleAlternate | Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback |
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| Notes | adaptive feedback, time delay, lag synchronization, parameter identification, noise perturbation Gu Wei-Dong Sun Zhi-Yong, Wu Xiao-Ming, and Yu Chang-Bin Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China 11-5639/O4 In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References_xml | – year: 1996 ident: 28 publication-title: Robust Adaptive Control – volume: 58 start-page: 131 issn: 0372-736X year: 2009 ident: 9 publication-title: Acta Phys. Sin. doi: 10.7498/aps.58.131 – ident: 30 doi: 10.1063/1.3421947 – ident: 2 doi: 10.1016/j.physrep.2012.03.002 – ident: 6 doi: 10.1103/PhysRevLett.78.4193 – ident: 12 doi: 10.1063/1.3623440 – ident: 29 doi: 10.1063/1.3127599 – ident: 17 doi: 10.1016/S0375-9601(01)00824-6 – volume: 85 start-page: 1 issn: 1434-6028 year: 2012 ident: 25 publication-title: Eur. Phys. J. doi: 10.1140/epjb/e2011-20818-1 – ident: 5 doi: 10.1016/S0370-1573(02)00137-0 – volume: 21 start-page: 020509 issn: 1674-1056 year: 2012 ident: 14 publication-title: Chin. Phys. doi: 10.1088/1674-1056/21/2/020509 – volume: 66 start-page: 6 issn: 0939-5075 year: 2011 ident: 3 publication-title: Zeitschrift fur Naturforschung doi: 10.1515/zna-2011-1-202 – volume: 61 start-page: 180503 issn: 0372-736X year: 2012 ident: 10 publication-title: Acta Phys. Sin. doi: 10.7498/aps.61.180503 – volume: 21 start-page: 050508 issn: 1674-1056 year: 2012 ident: 16 publication-title: Chin. Phys. doi: 10.1088/1674-1056/21/5/050508 – ident: 4 doi: 10.1109/TNNLS.2011.2179312 – ident: 7 doi: 10.1016/j.cnsns.2006.05.005 – ident: 13 doi: 10.1016/j.cnsns.2011.12.011 – ident: 26 doi: 10.1007/s11071-011-0230-0 – year: 1987 ident: 27 publication-title: Linear Matrix Inequalities in System and Control Theory – ident: 8 doi: 10.1016/j.camwa.2010.08.092 – ident: 18 doi: 10.1016/j.physd.2004.02.005 – year: 2003 ident: 1 publication-title: Synchronization: A Universal Concept in Nonlinear Sciences doi: 10.1007/978-94-010-0217-2 – volume: 21 start-page: 070701 issn: 1674-1056 year: 2012 ident: 15 publication-title: Chin. Phys. doi: 10.1088/1674-1056/21/7/070701 – ident: 22 doi: 10.1016/j.physa.2006.09.020 – ident: 33 doi: 10.1126/science.267326 – ident: 24 doi: 10.1016/j.automatica.2009.03.022 – ident: 31 doi: 10.1103/PhysRevE.71.037203 – ident: 19 doi: 10.1016/j.physleta.2010.06.064 – ident: 32 doi: 10.1103/PhysRevE.73.066204 – ident: 11 doi: 10.1016/j.ijnonlinmec.2009.01.001 – ident: 23 doi: 10.1016/j.physleta.2011.02.008 – ident: 20 doi: 10.1007/s11071-010-9729-z – volume: 20 start-page: 090512 issn: 1674-1056 year: 2011 ident: 21 publication-title: Chin. Phys. doi: 10.1088/1674-1056/20/9/090512 |
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| SubjectTerms | Adaptive systems Control systems Control theory Delay Dynamical systems Lorenz系统 Mathematical models Response time Synchronization Time delay 传输延迟 动力系统 同步 时间延迟 滞后反馈 线性驱动系统 自适应 |
| Title | Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback |
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