Table of Contents Author Guidelines Submit a Manuscript
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.

Linked References

  1. L. Zhang, H. Gao, and O. Kaynak, “Network-induced constraints in networked control systems—a survey,” IEEE Transactions on Industrial Informatics, vol. 9, no. 1, pp. 403–416, 2013. View at Google Scholar
  2. M. Gholami, N. Cai, and R. W. Brennan, “An artificial neural network approach to the problem of wireless sensors network localization,” Robotics and Computer-Integrated Manufacturing, vol. 29, no. 1, pp. 96–109, 2013. View at Google Scholar
  3. J. Yépez, P. Martí, and J. M. Fuertes, “Control loop scheduling paradigm in distributed control systems,” in Proceedings of the 29th Annual Conference of the IEEE Industrial Electronics Society (IECON '03), vol. 2, pp. 1441–1446, 2003.
  4. S. H. Hong, “Scheduling algorithm of data sampling times in the integrated communication and control systems,” IEEE Transactions on Control System Technology, vol. 3, no. 2, pp. 225–231, 1995. View at Google Scholar
  5. M. N. Islam, N. Mandayam, and S. Kompella, “Optimal resource allocation and relay selection in bandwidth exchange based cooperative forwarding,” in Proceedings of the 10th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt '12), pp. 192–199, 2012.
  6. J. P. Hespanha, P. Naghshtabrizi, and Y. Xu, “A survey of recent results in networked control systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 138–172, 2007. View at Publisher · View at Google Scholar · View at Scopus
  7. L. Zhang, Y. Shi, T. Chen, and B. Huang, “A new method for stabilization of networked control systems with random delays,” IEEE Transactions on Automatic Control, vol. 50, no. 8, pp. 1177–1181, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. Y. Tipsuwan and M. Y. Chow, “Gain scheduler middleware: a methodology to enable existing controllers for networked control and teleoperation—part I: networked control,” IEEE Transactions on Industrial Electronics, vol. 51, no. 6, pp. 1218–1227, 2004. View at Publisher · View at Google Scholar · View at Scopus
  9. C. Peng, Y. C. Tian, and M. O. Tadé, “State feedback controller design of networked control systems with interval time-varying delay and nonlinearity,” International Journal of Robust and Nonlinear Control, vol. 18, no. 12, pp. 1285–1301, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. H. Li, M. Y. Chow, and Z. Sun, “Optimal stabilizing gain selection for networked control systems with time delays and packet losses,” IEEE Transactions on Control Systems Technology, vol. 17, no. 5, pp. 1154–1162, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. J. Xiong and J. Lam, “Stabilization of linear systems over networks with bounded packet loss,” Automatica, vol. 43, no. 1, pp. 80–87, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  12. M. Yu, L. Wang, T. Chu, and F. Hao, “An LMI approach to networked control systems with data packet dropout and transmission delays,” in Proceedings of the 43rd IEEE Conference on Decision and Control (CDC '04), vol. 4, pp. 3545–3550, December 2004. View at Scopus
  13. D. Du and M. Fei, “A two-layer networked learning control system using actor-critic neural network,” Applied Mathematics and Computation, vol. 205, no. 1, pp. 26–36, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  14. W. Zeng and M. Y. Chow, “Optimal tradeoff between performance and security in networked control systems based on coevolutionary algorithms,” IEEE Transactions on Industrial Electronics, vol. 59, no. 7, pp. 3016–3025, 2012. View at Google Scholar
  15. S. Vasudevan, D. Goeckel, and D. Towsley, “Security-capacity trade-off in large wireless networks using keyless secrecy,” in Proceedings of the 11th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc '10), pp. 21–30, September 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. Z. Chunjie, X. Chunjie, C. Hui, and F. Huajing, “Genetic algorithm-based dynamic reconfiguration for networked control system,” Neural Computing and Applications, vol. 17, no. 2, pp. 153–160, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. L. Tan, Z. Zhu, C. Yuan, and W. Zhang, “A novel approach for bandwidth allocation among soft QoS traffic in wireless networks,” Transactions on Emerging Telecommunications Technologies, 2012. View at Publisher · View at Google Scholar
  18. D. Xu, E. Jung, and X. Liu, “Efficient and fair bandwidth allocation in multichannel cognitive radio networks,” IEEE Transactions on Mobile Computing, vol. 11, no. 8, pp. 1372–1385, 2012. View at Google Scholar
  19. U. Park, H. W. Kim, and D. S. Oh, “A dynamic bandwidth allocation scheme for a multi-spot-beam satellite system,” ETRI Journal, vol. 34, no. 4, pp. 613–616, 2012. View at Google Scholar
  20. L. A. Montestruque and P. J. Antsaklis, “On the model-based control of networked systems,” Automatica, vol. 39, no. 10, pp. 1837–1843, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  21. L. Xu, M. Fei, and T. Jia, “Bandwidth scheduling and optimization using non-cooperative game model-based shuffled frog leaping algorithm in a networked learning control system,” Neural Computing & Applications, vol. 21, no. 6, pp. 1117–1128, 2012. View at Google Scholar
  22. D. Du, M. Fei, H. Hu, and L. Li, “Two-layer networked learning control using self-learning fuzzy control algorithms,” Chinese Journal of Scientific Instrument, vol. 28, no. 12, pp. 2124–2131, 2007. View at Google Scholar · View at Scopus
  23. Y. Tipsuwan, S. Kamonsantiroj, J. Srisabye, and P. Chongstitvattana, “An auction-based dynamic bandwidth allocation with sensitivity in a wireless networked control system,” Computers & Industrial Engineering, vol. 57, no. 1, pp. 114–124, 2009. View at Publisher · View at Google Scholar · View at Scopus
  24. A. Dixit, B. Lannoo, and G. Das, “Dynamic bandwidth allocation with SLA awareness for QoS in ethernet passive optical networks,” Journal of Optical Communications and Networking, vol. 5, no. 3, pp. 240–253, 2013. View at Google Scholar
  25. F. L. Lian, J. Moyne, and D. Tilbury, “Network design consideration for distributed control systems,” IEEE Transactions on Control Systems Technology, vol. 10, no. 2, p. 297, 2002. View at Publisher · View at Google Scholar · View at Scopus
  26. G. C. M. Gabriel, E. V. Belmega, and M. Debbah, “Pricing and bandwidth allocation problems in wireless multi-tier networks,” in Proceedings of the 45th Asilomar Conference on Signals, Systems, and Computers (ASILOMAR '11), pp. 1633–1637, 2011. View at Publisher · View at Google Scholar
  27. L. Xu and M. Fei, “A hybrid quantum clone evolutionary algorithm-based scheduling optimization in a networked learning control system,” in Proceedings of the Chinese Control and Decision Conference (CCDC '10), pp. 3632–3637, May 2010. View at Publisher · View at Google Scholar · View at Scopus
  28. A. Cervin, J. Eker, B. Bernhardsson, and K. E. Årzén, “Feedback-feedforward scheduling of control tasks,” Real-Time Systems, vol. 23, no. 1-2, pp. 25–53, 2002. View at Publisher · View at Google Scholar · View at Scopus
  29. M. Velasco, P. Martí, and M. Frigola, “Bandwidth management for distributed control of highly articulated robots,” in Proceedings of IEEE International Conference on Robotics and Automation (ICRA '05), pp. 265–270, April 2005. View at Publisher · View at Google Scholar · View at Scopus
  30. D. S. Kim, Y. S. Lee, W. H. Kwon, and H. S. Park, “Maximum allowable delay bounds of networked control systems,” Control Engineering Practice, vol. 11, no. 11, pp. 1301–1313, 2003. View at Publisher · View at Google Scholar · View at Scopus
  31. H. Yaïche, R. R. Mazumdar, and C. Rosenberg, “A game theoretic framework for bandwidth allocation and pricing in broadband networks,” IEEE/ACM Transactions on Networking, vol. 8, no. 5, pp. 667–678, 2000. View at Google Scholar · View at Scopus
  32. S.-P. Hsu, S.-L. Hsu, and A. S. Tsai, “A game-theoretic analysis of bandwidth allocation under a user-grouping constraint,” Journal of Applied Mathematics, vol. 2013, Article ID 480962, 9 pages, 2013. View at Publisher · View at Google Scholar
  33. C. U. Saraydar, N. B. Mandayam, and D. J. Goodman, “Efficient power control via pricing in wireless data networks,” IEEE Transactions on Communications, vol. 50, no. 2, pp. 291–303, 2002. View at Publisher · View at Google Scholar · View at Scopus
  34. H. Li, M. Y. Chow, and Z. Sun, “EDA-based speed control of a networked DC motor system with time delays and packet losses,” IEEE Transactions on Industrial Electronics, vol. 56, no. 5, pp. 1727–1735, 2009. View at Publisher · View at Google Scholar · View at Scopus
  35. P. A. N. Bosman and J. Grahl, “Matching inductive search bias and problem structure in continuous estimation-of-distribution algorithms,” European Journal of Operational Research, vol. 185, no. 3, pp. 1246–1264, 2008. View at Publisher · View at Google Scholar · View at Scopus