Please use this identifier to cite or link to this item: http://localhost/handle/Hannan/186879
Title: Sampled-Data Consensus of Linear Multi-agent Systems With Packet Losses
Authors: Wenbing Zhang;Yang Tang;Tingwen Huang;J&x00FC;rgen Kurths
Year: 2017
Publisher: IEEE
Abstract: In this paper, the consensus problem is studied for a class of multi-agent systems with sampled data and packet losses, where random and deterministic packet losses are considered, respectively. For random packet losses, a Bernoulli-distributed white sequence is used to describe packet dropouts among agents in a stochastic way. For deterministic packet losses, a switched system with stable and unstable subsystems is employed to model packet dropouts in a deterministic way. The purpose of this paper is to derive consensus criteria, such that linear multi-agent systems with sampled-data and packet losses can reach consensus. By means of the Lyapunov function approach and the decomposition method, the design problem of a distributed controller is solved in terms of convex optimization. The interplay among the allowable bound of the sampling interval, the probability of random packet losses, and the rate of deterministic packet losses are explicitly derived to characterize consensus conditions. The obtained criteria are closely related to the maximum eigenvalue of the Laplacian matrix versus the second minimum eigenvalue of the Laplacian matrix, which reveals the intrinsic effect of communication topologies on consensus performance. Finally, simulations are given to show the effectiveness of the proposed results.
URI: http://localhost/handle/Hannan/186879
volume: 28
issue: 11
More Information: 2516,
2527
Appears in Collections:2017

Files in This Item:
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7546899.pdf1.42 MBAdobe PDF
Title: Sampled-Data Consensus of Linear Multi-agent Systems With Packet Losses
Authors: Wenbing Zhang;Yang Tang;Tingwen Huang;J&x00FC;rgen Kurths
Year: 2017
Publisher: IEEE
Abstract: In this paper, the consensus problem is studied for a class of multi-agent systems with sampled data and packet losses, where random and deterministic packet losses are considered, respectively. For random packet losses, a Bernoulli-distributed white sequence is used to describe packet dropouts among agents in a stochastic way. For deterministic packet losses, a switched system with stable and unstable subsystems is employed to model packet dropouts in a deterministic way. The purpose of this paper is to derive consensus criteria, such that linear multi-agent systems with sampled-data and packet losses can reach consensus. By means of the Lyapunov function approach and the decomposition method, the design problem of a distributed controller is solved in terms of convex optimization. The interplay among the allowable bound of the sampling interval, the probability of random packet losses, and the rate of deterministic packet losses are explicitly derived to characterize consensus conditions. The obtained criteria are closely related to the maximum eigenvalue of the Laplacian matrix versus the second minimum eigenvalue of the Laplacian matrix, which reveals the intrinsic effect of communication topologies on consensus performance. Finally, simulations are given to show the effectiveness of the proposed results.
URI: http://localhost/handle/Hannan/186879
volume: 28
issue: 11
More Information: 2516,
2527
Appears in Collections:2017

Files in This Item:
File SizeFormat 
7546899.pdf1.42 MBAdobe PDF
Title: Sampled-Data Consensus of Linear Multi-agent Systems With Packet Losses
Authors: Wenbing Zhang;Yang Tang;Tingwen Huang;J&x00FC;rgen Kurths
Year: 2017
Publisher: IEEE
Abstract: In this paper, the consensus problem is studied for a class of multi-agent systems with sampled data and packet losses, where random and deterministic packet losses are considered, respectively. For random packet losses, a Bernoulli-distributed white sequence is used to describe packet dropouts among agents in a stochastic way. For deterministic packet losses, a switched system with stable and unstable subsystems is employed to model packet dropouts in a deterministic way. The purpose of this paper is to derive consensus criteria, such that linear multi-agent systems with sampled-data and packet losses can reach consensus. By means of the Lyapunov function approach and the decomposition method, the design problem of a distributed controller is solved in terms of convex optimization. The interplay among the allowable bound of the sampling interval, the probability of random packet losses, and the rate of deterministic packet losses are explicitly derived to characterize consensus conditions. The obtained criteria are closely related to the maximum eigenvalue of the Laplacian matrix versus the second minimum eigenvalue of the Laplacian matrix, which reveals the intrinsic effect of communication topologies on consensus performance. Finally, simulations are given to show the effectiveness of the proposed results.
URI: http://localhost/handle/Hannan/186879
volume: 28
issue: 11
More Information: 2516,
2527
Appears in Collections:2017

Files in This Item:
File SizeFormat 
7546899.pdf1.42 MBAdobe PDF