Containment control of linear multi-agent systems with stochastic sampled-data

Zhenhua Xu; Dan Zhang; Qing Guo Wang

doi:10.1109/ICIEA.2017.8282876

Containment control of linear multi-agent systems with stochastic sampled-data

Zhenhua Xu, Dan Zhang, Qing Guo Wang

Electrical and Electronic Engineering Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The containment control problem for a class of continuous-time linear multi-agent systems is investigated in this paper. A new protocol is introduced that is based on the aperiodic sampled-data collected from the local agent and its neighbors. More specifically, the sampling process is stochastic and it is modelled by a Markovian chain. By the aid of Markovian jump system method and Lyapunov stability theory, the containment control under stochastic sampling is shown to be solvable if some matrix inequalities are satisfied. Meanwhile, the control protocol is designed by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to illustrate the effectiveness of the proposed design.

Original language	English
Title of host publication	Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	391-396
Number of pages	6
ISBN (Electronic)	9781538621035
DOIs	https://doi.org/10.1109/ICIEA.2017.8282876
Publication status	Published - 2 Jul 2017
Event	12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 - Siem Reap, Cambodia Duration: 18 Jun 2017 → 20 Jun 2017

Publication series

Name	Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
Volume	2018-February

Conference

Conference	12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
Country/Territory	Cambodia
City	Siem Reap
Period	18/06/17 → 20/06/17

ASJC Scopus subject areas

Control and Optimization
Electrical and Electronic Engineering
Industrial and Manufacturing Engineering

Access to Document

10.1109/ICIEA.2017.8282876

Cite this

Xu, Z., Zhang, D., & Wang, Q. G. (2017). Containment control of linear multi-agent systems with stochastic sampled-data. In Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 (pp. 391-396). (Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017; Vol. 2018-February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIEA.2017.8282876

Xu, Zhenhua ; Zhang, Dan ; Wang, Qing Guo. / Containment control of linear multi-agent systems with stochastic sampled-data. Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 391-396 (Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017).

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title = "Containment control of linear multi-agent systems with stochastic sampled-data",

abstract = "The containment control problem for a class of continuous-time linear multi-agent systems is investigated in this paper. A new protocol is introduced that is based on the aperiodic sampled-data collected from the local agent and its neighbors. More specifically, the sampling process is stochastic and it is modelled by a Markovian chain. By the aid of Markovian jump system method and Lyapunov stability theory, the containment control under stochastic sampling is shown to be solvable if some matrix inequalities are satisfied. Meanwhile, the control protocol is designed by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to illustrate the effectiveness of the proposed design.",

author = "Zhenhua Xu and Dan Zhang and Wang, {Qing Guo}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 ; Conference date: 18-06-2017 Through 20-06-2017",

year = "2017",

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doi = "10.1109/ICIEA.2017.8282876",

language = "English",

series = "Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017",

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Xu, Z, Zhang, D & Wang, QG 2017, Containment control of linear multi-agent systems with stochastic sampled-data. in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017, vol. 2018-February, Institute of Electrical and Electronics Engineers Inc., pp. 391-396, 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017, Siem Reap, Cambodia, 18/06/17. https://doi.org/10.1109/ICIEA.2017.8282876

Containment control of linear multi-agent systems with stochastic sampled-data. / Xu, Zhenhua; Zhang, Dan; Wang, Qing Guo.
Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 391-396 (Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017; Vol. 2018-February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Containment control of linear multi-agent systems with stochastic sampled-data

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N2 - The containment control problem for a class of continuous-time linear multi-agent systems is investigated in this paper. A new protocol is introduced that is based on the aperiodic sampled-data collected from the local agent and its neighbors. More specifically, the sampling process is stochastic and it is modelled by a Markovian chain. By the aid of Markovian jump system method and Lyapunov stability theory, the containment control under stochastic sampling is shown to be solvable if some matrix inequalities are satisfied. Meanwhile, the control protocol is designed by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to illustrate the effectiveness of the proposed design.

AB - The containment control problem for a class of continuous-time linear multi-agent systems is investigated in this paper. A new protocol is introduced that is based on the aperiodic sampled-data collected from the local agent and its neighbors. More specifically, the sampling process is stochastic and it is modelled by a Markovian chain. By the aid of Markovian jump system method and Lyapunov stability theory, the containment control under stochastic sampling is shown to be solvable if some matrix inequalities are satisfied. Meanwhile, the control protocol is designed by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to illustrate the effectiveness of the proposed design.

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DO - 10.1109/ICIEA.2017.8282876

M3 - Conference contribution

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BT - Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017

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Xu Z, Zhang D, Wang QG. Containment control of linear multi-agent systems with stochastic sampled-data. In Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 391-396. (Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017). doi: 10.1109/ICIEA.2017.8282876

Containment control of linear multi-agent systems with stochastic sampled-data

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