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Mathematical Problems in Engineering
Volume 2016, Article ID 9640403, 10 pages
http://dx.doi.org/10.1155/2016/9640403
Research Article

Internal-Model-Principle-Based Specific Harmonics Repetitive Controller for Grid-Connected PWM Inverters

1Key Laboratory of Advance Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi 214122, China
2School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China

Received 9 May 2016; Revised 22 July 2016; Accepted 9 August 2016

Academic Editor: Alfonso Banos

Copyright © 2016 Wenzhou Lu 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. B. Francis, O. A. Sebakhy, and W. M. Wonham, “Synthesis of multivariable regulators: the internal model principle,” Applied Mathematics and Optimization, vol. 1, no. 1, pp. 64–86, 1974. View at Google Scholar · View at MathSciNet
  2. B. A. Francis and W. M. Wonham, “The internal model principle of control theory,” Automatica, vol. 12, no. 5, pp. 457–465, 1976. View at Google Scholar · View at MathSciNet
  3. S. Hara, Y. Yamamoto, T. Omata, and M. Nakano, “Repetitive control system: a new type servo system for periodic exogenous signals,” IEEE Transactions on Automatic Control, vol. 33, no. 7, pp. 659–668, 1988. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. M. Tomizuka, “Zero phase error tracking algorithm for digital control,” Journal of Dynamic Systems, Measurement, and Control, vol. 109, no. 1, pp. 65–68, 1987. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Tomizuka, T.-C. Tsao, and K.-K. Chew, “Discrete-time domain analysis and synthesis of repetitive controllers,” in Proceedings of the American Control Conference, pp. 860–866, Atlanta, Ga, USA, 1988. View at Scopus
  6. R. Grino and R. Costa-Castello, “Digital repetitive plug-in controller for odd-harmonic periodic references and disturbances,” Automatica, vol. 41, no. 1, pp. 153–157, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. K. Zhou, K.-S. Low, D. Wang, F.-L. Luo, B. Zhang, and Y. Wang, “Zero-phase odd-harmonic repetitive controller for a single-phase PWM inverter,” IEEE Transactions on Power Electronics, vol. 21, no. 1, pp. 193–201, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. R. Costa-Castelló, R. Grinó, and E. Fossas, “Odd-harmonic digital repetitive control of a single-phase current active filter,” IEEE Transactions on Power Electronics, vol. 19, no. 4, pp. 1060–1068, 2004. View at Publisher · View at Google Scholar · View at Scopus
  9. B. Zhang, D. Wang, K. Zhou, and Y. Wang, “Linear phase lead compensation repetitive control of a CVCF PWM inverter,” IEEE Transactions on Industrial Electronics, vol. 55, no. 4, pp. 1595–1602, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. G. Escobar, P. G. Hernandez-Briones, P. R. Martinez, M. Hernandez-Gomez, and R. E. Torres-Olguin, “A repetitive-based controller for the compensation of 6 ± 1 harmonic components,” IEEE Transactions on Industrial Electronics, vol. 55, no. 8, pp. 3150–3158, 2008. View at Publisher · View at Google Scholar · View at Scopus
  11. G. Escobar, P. R. Martínez, J. Leyva-Ramos, and P. Mattavelli, “A negative feedback repetitive control scheme for harmonic compensation,” IEEE Transactions on Industrial Electronics, vol. 53, no. 4, pp. 1383–1386, 2006. View at Publisher · View at Google Scholar · View at Scopus
  12. K. Zhou, D. Wang, B. Zhang, Y. Wang, J. A. Ferreira, and S. W. de Haan, “Dual-mode structure digital repetitive control,” Automatica, vol. 43, no. 3, pp. 546–554, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. K. K. Chew and M. Tomizuka, “Digital control of repetitive errors in disk drive systems,” IEEE Control Systems Magazine, vol. 10, no. 1, pp. 16–20, 1990. View at Google Scholar · View at Scopus
  14. C. Cosner, G. Anwar, and M. Tomizuka, “Plug in repetitive control for industrial robotic manipulators,” in Proceedings of the IEEE International Conference on Robotics and Automation, vol. 3, pp. 1970–1975, Cincinnati, Ohio, USA, May 1990. View at Publisher · View at Google Scholar
  15. H. L. Broberg and R. G. Molyet, “Reduction of repetitive errors in tracking of periodic signals: theory and application of repetitive control,” in Proceedings of the 1st IEEE Conference on Control Application, Dayton, Ohio, USA, 1992.
  16. K. Zhou, D. Wang, and K.-S. Low, “Periodic errors elimination in CVCF PWM DC/AC converter systems: repetitive control approach,” IEE Proceedings—Control Theory and Applications, vol. 147, no. 6, pp. 694–700, 2000. View at Publisher · View at Google Scholar · View at Scopus
  17. K. Zhou and D. Wang, “Digital repetitive learning controller for three-phase CVCF PWM inverter,” IEEE Transactions on Industrial Electronics, vol. 48, no. 4, pp. 820–830, 2001. View at Publisher · View at Google Scholar · View at Scopus
  18. K. Zhou and D. Wang, “Digital repetitive controlled three-phase PWM rectifier,” IEEE Transactions on Power Electronics, vol. 18, no. 1, pp. 309–316, 2003. View at Publisher · View at Google Scholar · View at Scopus
  19. P. Mattavelli and F. P. Marafao, “Repetitive-based control for selective harmonic compensation in active power filters,” IEEE Transactions on Industrial Electronics, vol. 51, no. 5, pp. 1018–1024, 2004. View at Publisher · View at Google Scholar · View at Scopus
  20. W. Lu, K. Zhou, D. Wang, and M. Cheng, “A general parallel structure repetitive control scheme for multiphase DC-AC PWM converters,” IEEE Transactions on Power Electronics, vol. 28, no. 8, pp. 3980–3987, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. W. Lu, K. Zhou, D. Wang, and M. Cheng, “A generic digital nk±m-order harmonic repetitive control scheme for PWM converters,” IEEE Transactions on Industrial Electronics, vol. 61, no. 3, pp. 1516–1527, 2014. View at Publisher · View at Google Scholar · View at Scopus
  22. W. Lu, K. Zhou, and D. Wang, “General parallel structure digital repetitive control,” International Journal of Control, vol. 86, no. 1, pp. 70–83, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. G. C. Goodwin, S. F. Graebe, and M. E. Salgado, Control System Design, Prentice Hall, Upper Saddle River, NJ, USA, 2001.
  24. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, San Diego, Calif, USA, 7th edition, 2007. View at MathSciNet
  25. W. Lu, K. Zhou, and Y. Yang, “A general internal model principle based control scheme for CVCF PWM converters,” in Proceedings of the 2nd IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG '10), pp. 485–489, Hefei, China, June 2010. View at Publisher · View at Google Scholar · View at Scopus
  26. H. Akagi, H. E. Watanabe, and M. Aredes, Instantaneous Power Theory and Applications to Power Conditioning, Wiley, Hoboken, NJ, USA, 2007.