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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 854631, 9 pages
http://dx.doi.org/10.1155/2013/854631
Research Article

Generalized Kalman-Yakubovich-Popov Lemma Based I-PD Controller Design for Ball and Plate System

1Graduate School of Science and Technology, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan
2Department of Science and Engineering, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan

Received 23 June 2013; Accepted 9 September 2013

Academic Editor: Baocang Ding

Copyright © 2013 Shuichi Mochizuki and Hiroyuki Ichihara. 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. M. Moarref, M. Saadat, and G. Vossoughi, “Mechatronic design and position control of a novel ball and plate system,” in Proceedings of the Mediterranean Conference on Control and Automation (MED' 08), pp. 1071–1076, June 2008. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Kokotovic, “The joy of feedback: nonlinear and adaptive,” IEEE Control Systems Magazine, vol. 12, no. 3, pp. 7–17, 1992. View at Google Scholar
  3. F. Zheng, X. Li, X. Qian, and S. Wang, “Modeling and PID neural network research for the ball and plate system,” in Proceedings of the International Conference on Electronics, Communications and Control (ICECC '11), pp. 331–334, September 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. X. Fan, N. Zhang, and S. Teng, “Trajectory planning and tracking of ball and plate system using hierarchical fuzzy control scheme,” Fuzzy Sets and Systems, vol. 144, no. 2, pp. 297–312, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. M. Bai, Y. Tian, and Y. Wang, “Decoupled fuzzy sliding mode control to ball and plate system,” in Proceedings of the 2nd International Conference on Intelligent Control and Information Processing (ICICIP '11), pp. 685–690, July 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. F. Borrelli, Constrained Optimal Control of Linear and Hybrid Systems, vol. 290 of Lecture Notes in Control and Information Sciences, Springer, 2003. View at MathSciNet
  7. K. J. Åstrőm and T. Hägglund, Advanced PID Control, Instrumentation Systems, 2005.
  8. Q. Li and Z. Kemin, Introduction to Feedback Control, Prentice Hall, 2009.
  9. T. Iwasaki and S. Hara, “Generalized KYP lemma: unified frequency domain inequalities with design applications,” IEEE Transactions on Automatic Control, vol. 50, no. 1, pp. 41–59, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. A. Rantzer, “On the Kalman-Yakubovich-Popov lemma,” Systems & Control Letters, vol. 28, no. 1, pp. 7–10, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  11. J. Lőfberg, “YALMIP: a toolbox for modeling and optimization in MATLAB,” in Proceedings of the IEEE International Symposium on Computer-Aided Control System Design (CACSD '11), Taipei, Taiwan, 2004.
  12. K. C. Toh, M. J. Todd, and R. H. Tütüncü, “SDPT3—a MATLAB software package for semidefinite programming, version 1.3,” Optimization Methods and Software, vol. 11, no. 1, pp. 545–581, 1999. View at Google Scholar · View at Scopus