Robust H∞ Pinning Synchronization for Complex Networks With Event-Triggered Communication Scheme
This paper investigates the issue of global robust <inline-formula> <tex-math notation="LaTeX">{H_\infty } </tex-math></inline-formula> pinning synchronization for a class of complex networks with sampled-data-based event-triggered communication via a pinning contro...
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| Published in | IEEE transactions on circuits and systems. I, Regular papers Vol. 67; no. 12; pp. 5233 - 5245 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.12.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1549-8328 1558-0806 |
| DOI | 10.1109/TCSI.2020.3004170 |
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| Abstract | This paper investigates the issue of global robust <inline-formula> <tex-math notation="LaTeX">{H_\infty } </tex-math></inline-formula> pinning synchronization for a class of complex networks with sampled-data-based event-triggered communication via a pinning control approach. The complex network is subject to network-induced time-varying delays, parametric uncertainties and external disturbances. A directed and weighted communication topology is taken into account, and the phenomenon of uncertainties is reflected in both modelling and inner coupling matrices. In order to save communication resources, a new and practical event-triggered communication mechanism with an asynchronous sampling manner is developed, with which the Zeno behaviour can be absolutely avoided. Then, based on the presented event-triggered strategy, a pinning control protocol is proposed to reduce the frequency of controller updates and the computational burden. The problems on the minimal number and which of the nodes should be chosen are addressed. By Lyapunov stability theory, sufficient conditions are deduced to ensure the underlying network achieves global robust <inline-formula> <tex-math notation="LaTeX">{H_\infty } </tex-math></inline-formula> pinning synchronization. Finally, numerical examples are provided to verify the effectiveness of the new design techniques. |
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| AbstractList | This paper investigates the issue of global robust <inline-formula> <tex-math notation="LaTeX">{H_\infty } </tex-math></inline-formula> pinning synchronization for a class of complex networks with sampled-data-based event-triggered communication via a pinning control approach. The complex network is subject to network-induced time-varying delays, parametric uncertainties and external disturbances. A directed and weighted communication topology is taken into account, and the phenomenon of uncertainties is reflected in both modelling and inner coupling matrices. In order to save communication resources, a new and practical event-triggered communication mechanism with an asynchronous sampling manner is developed, with which the Zeno behaviour can be absolutely avoided. Then, based on the presented event-triggered strategy, a pinning control protocol is proposed to reduce the frequency of controller updates and the computational burden. The problems on the minimal number and which of the nodes should be chosen are addressed. By Lyapunov stability theory, sufficient conditions are deduced to ensure the underlying network achieves global robust <inline-formula> <tex-math notation="LaTeX">{H_\infty } </tex-math></inline-formula> pinning synchronization. Finally, numerical examples are provided to verify the effectiveness of the new design techniques. This paper investigates the issue of global robust [Formula Omitted] pinning synchronization for a class of complex networks with sampled-data-based event-triggered communication via a pinning control approach. The complex network is subject to network-induced time-varying delays, parametric uncertainties and external disturbances. A directed and weighted communication topology is taken into account, and the phenomenon of uncertainties is reflected in both modelling and inner coupling matrices. In order to save communication resources, a new and practical event-triggered communication mechanism with an asynchronous sampling manner is developed, with which the Zeno behaviour can be absolutely avoided. Then, based on the presented event-triggered strategy, a pinning control protocol is proposed to reduce the frequency of controller updates and the computational burden. The problems on the minimal number and which of the nodes should be chosen are addressed. By Lyapunov stability theory, sufficient conditions are deduced to ensure the underlying network achieves global robust [Formula Omitted] pinning synchronization. Finally, numerical examples are provided to verify the effectiveness of the new design techniques. |
| Author | Shi, Peng Agarwal, Ramesh K. Xing, Wen Li, Liya |
| Author_xml | – sequence: 1 givenname: Wen orcidid: 0000-0002-1561-1459 surname: Xing fullname: Xing, Wen email: xingwen@hrbeu.edu.cn organization: College of Automation, Harbin Engineering University, Harbin, China – sequence: 2 givenname: Peng orcidid: 0000-0001-8218-586X surname: Shi fullname: Shi, Peng email: peng.shi@adelaide.edu.au organization: College of Automation, Harbin Engineering University, Harbin, China – sequence: 3 givenname: Ramesh K. orcidid: 0000-0002-9642-1023 surname: Agarwal fullname: Agarwal, Ramesh K. email: rka@wustl.edu organization: Department of Mechanical Engineering, Washington University in St. Louis, St. Louis, MO – sequence: 4 givenname: Liya orcidid: 0000-0003-4474-7686 surname: Li fullname: Li, Liya email: liliya@hrbeu.edu.cn organization: College of Automation, Harbin Engineering University, Harbin, China |
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| Snippet | This paper investigates the issue of global robust <inline-formula> <tex-math notation="LaTeX">{H_\infty } </tex-math></inline-formula> pinning synchronization... This paper investigates the issue of global robust [Formula Omitted] pinning synchronization for a class of complex networks with sampled-data-based... |
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| SubjectTerms | Communication Complex networks Couplings Delays event-triggered control H-infinity control Linear matrix inequalities Pinning Pinning control Protocols robust <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H∞ control Robustness Robustness (mathematics) Synchronism Synchronization Topology Uncertainty |
| Title | Robust H∞ Pinning Synchronization for Complex Networks With Event-Triggered Communication Scheme |
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