- Title
- Quantized consensus over expander networks and communication energy minimization
- Creator
- Li, Tao; Fu, Minyue; Xie, Lihua; Zhang, Ji-Feng
- Relation
- 48th IEEE Conference on Decision and Control, 2009 held jointly with the 28th Chinese Control Conference, 2009 (CDC/CCC 2009). Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009 (Shanghai, China 15-18 December, 2009) p. 5809-5814
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2009.5400229
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2009
- Description
- Expander networks are highly connected sparse graphs, which play an important role in designing efficient communication networks. In this paper, we consider consensus control of discrete-time first-order agents with the communication graph being an expander network. Each agent has a real-valued state but can only exchange symbolic data with its neighbors. A distributed protocol is designed based on dynamic encoding and decoding with finite level uniform quantizers. The choice of the control parameters only depends on the number of agents, the maximum degree and the isoperimetric constant of the network. It is shown that under the protocol designed, average-consensus can be achieved with an exponential convergence rate based on a single-bit information exchange between each pair of adjacent nodes at each time step. A performance index is given to characterize the total communication energy cost to achieve average-consensus and it is shown that the minimization of the communication energy cost leads to a tradeoff between the convergence rate and the number of quantization levels.
- Subject
- expander networks; communication graphs; telecommunication networks; protocols
- Identifier
- uon:8699
- Identifier
- http://hdl.handle.net/1959.13/918760
- Identifier
- ISBN:9781424438723
- Rights
- Copyright © 2009 IEEE. Reprinted from the Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 28th Chinese Control Conference, 2009. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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