Asynchronous impulsive containment control in switched multi-agent systems

Chaojie Li; Xinghuo Yu; Zhi-Wei Liu; Tingwen Huang

doi:10.1016/j.ins.2016.01.072

Asynchronous impulsive containment control in switched multi-agent systems

Chaojie Li
, Xinghuo Yu
, Zhi-Wei Liu
, Tingwen Huang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

57 Citations (Scopus)

Abstract

A novel impulsive containment control is derived for multi-agent systems with the switching behavior and time delay, where an asynchronous impulsive control formulation is introduced in a distributed synthesis. Containment control criterion is established by using multiple Lyapunov functions and the Razumikhin technique in terms of mathematical induction. The relationship between impulsive control and the average dwell time is presented and thus can serve as a tool to design an impulsive containment controller. Unlike traditional impulsive control strategies, the proposed methodology does not require time instants of impulsive control to simultaneously occur with switching signals, which significantly leads to a less conservativeness of the designed impulsive controller to handle the switched system. Finally, the effectiveness of the proposed method is verified by a simulation example. © 2016 Elsevier Inc.

Original language	English
Pages (from-to)	667-679
Journal	Information Sciences
Volume	370-371
DOIs	https://doi.org/10.1016/j.ins.2016.01.072
Publication status	Published - 20 Nov 2016
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

This work was supported by the Australian Research Council (Nos. DP130104765, DP140100544), the National Natural Science Foundation of China under grants (No. 61304152) and the open fund of Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education (No. MCCSE2015A02).

Research Keywords

Asynchronous containment control
Mathematical induction method
Multiple Lyapunov functions
Razumikhin technique
Switched multi-agent system

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10.1016/j.ins.2016.01.072

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title = "Asynchronous impulsive containment control in switched multi-agent systems",

abstract = "A novel impulsive containment control is derived for multi-agent systems with the switching behavior and time delay, where an asynchronous impulsive control formulation is introduced in a distributed synthesis. Containment control criterion is established by using multiple Lyapunov functions and the Razumikhin technique in terms of mathematical induction. The relationship between impulsive control and the average dwell time is presented and thus can serve as a tool to design an impulsive containment controller. Unlike traditional impulsive control strategies, the proposed methodology does not require time instants of impulsive control to simultaneously occur with switching signals, which significantly leads to a less conservativeness of the designed impulsive controller to handle the switched system. Finally, the effectiveness of the proposed method is verified by a simulation example. {\textcopyright} 2016 Elsevier Inc.",

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author = "Chaojie Li and Xinghuo Yu and Zhi-Wei Liu and Tingwen Huang",

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AU - Li, Chaojie

AU - Yu, Xinghuo

AU - Liu, Zhi-Wei

AU - Huang, Tingwen

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2016/11/20

Y1 - 2016/11/20

N2 - A novel impulsive containment control is derived for multi-agent systems with the switching behavior and time delay, where an asynchronous impulsive control formulation is introduced in a distributed synthesis. Containment control criterion is established by using multiple Lyapunov functions and the Razumikhin technique in terms of mathematical induction. The relationship between impulsive control and the average dwell time is presented and thus can serve as a tool to design an impulsive containment controller. Unlike traditional impulsive control strategies, the proposed methodology does not require time instants of impulsive control to simultaneously occur with switching signals, which significantly leads to a less conservativeness of the designed impulsive controller to handle the switched system. Finally, the effectiveness of the proposed method is verified by a simulation example. © 2016 Elsevier Inc.

AB - A novel impulsive containment control is derived for multi-agent systems with the switching behavior and time delay, where an asynchronous impulsive control formulation is introduced in a distributed synthesis. Containment control criterion is established by using multiple Lyapunov functions and the Razumikhin technique in terms of mathematical induction. The relationship between impulsive control and the average dwell time is presented and thus can serve as a tool to design an impulsive containment controller. Unlike traditional impulsive control strategies, the proposed methodology does not require time instants of impulsive control to simultaneously occur with switching signals, which significantly leads to a less conservativeness of the designed impulsive controller to handle the switched system. Finally, the effectiveness of the proposed method is verified by a simulation example. © 2016 Elsevier Inc.

KW - Asynchronous containment control

KW - Mathematical induction method

KW - Multiple Lyapunov functions

KW - Razumikhin technique

KW - Switched multi-agent system

UR - https://www.scopus.com/pages/publications/84958260171

UR - https://www.scopus.com/pages/publications/84958260171#tab=impact

U2 - 10.1016/j.ins.2016.01.072

DO - 10.1016/j.ins.2016.01.072

M3 - RGC 21 - Publication in refereed journal

SN - 0020-0255

VL - 370-371

SP - 667

EP - 679

JO - Information Sciences

JF - Information Sciences

ER -

Asynchronous impulsive containment control in switched multi-agent systems

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Research Keywords

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