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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 540687, 8 pages
http://dx.doi.org/10.1155/2013/540687
Research Article

Optimal Bandwidth Scheduling of Networked Learning Control System Based on Nash Theory and Auction Mechanism

1School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, China
2Department of Computer Science and Technology, State Key Laboratory of Intelligent Technology and Systems, Tsinghua University, Beijing 100084, China

Received 29 March 2013; Accepted 15 May 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Xiang Yan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper addresses the optimal bandwidth scheduling problem for a double-layer networked learning control system (NLCS). To deal with this issue, auction mechanism is employed, and a dynamic bandwidth scheduling methodology is proposed to allocate the bandwidth for each subsystem. A noncooperative game fairness model is formulated, and the utility function of subsystems is designed. Under this framework, estimation of distribution algorithm (EDA) is used to obtain Nash equilibrium for NLCS. Finally, simulation and experimental results are given to demonstrate the effectiveness of the proposed approach.