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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 473608, 8 pages
http://dx.doi.org/10.1155/2013/473608
Research Article

Continuous Finite-Time Terminal Sliding Mode IDA-PBC Design for PMSM with the Port-Controlled Hamiltonian Model

School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

Received 1 May 2013; Accepted 8 July 2013

Academic Editor: Yu Kang

Copyright © 2013 Shuanghe Yu 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. M. E. Haque, Permanent Magnet Synchronous Motor Drives: Analysis, Modeling and Control, VDM Verlag, 2009.
  2. S.-H. Chang, P.-Y. Chen, Y.-H. Ting, and S.-W. Hung, “Robust current control-based sliding mode control with simple uncertainties estimation in permanent magnet synchronous motor drive systems,” IET Electric Power Applications, vol. 4, no. 6, pp. 441–450, 2010. View at Google Scholar
  3. J. Zhou and Y. Wang, “Adaptive backstepping speed controller design for a permanent magnet synchronous motor,” IEE Proceeding Electric Power Applications, vol. 149, no. 2, pp. 165–172, 2002. View at Google Scholar
  4. F. Morel, X. Lin-Shi, J.-M. Rtif, B. Allard, and C. Buttay, “A comparative study of predictive current control schemes for a permanent-magnet synchronous machine drive,” IEEE Transactions on Industrial Electronics, vol. 56, no. 7, pp. 2715–2728, 2009. View at Google Scholar
  5. R. Ortega, A. J. van der Schaft, I. Mareels, and B. Maschke, “Putting energy back in control,” IEEE Control Systems Magazine, vol. 21, no. 2, pp. 18–33, 2001. View at Google Scholar
  6. M. Galaz, R. Ortega, A. S. Bazanella, and A. M. Stankovic, “An energy-shaping approach to the design of excitation control of synchronous generators,” Automatica, vol. 39, no. 1, pp. 111–119, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. D. E. Chang, “Some results on stabilizability of controlled lagrangian systems by energy shaping,” in Proceedings of the IFAC World Congress, pp. 3161–3166, Seoul, Korea, 2008.
  8. W. M. Haddad, S. G. Nersesov, and V. Chellaboina, “Energy-based control for hybrid port-controlled Hamiltonian systems,” Automatica, vol. 39, no. 8, pp. 1425–1435, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. A. Venkatraman and A. J. van der Schaft, “Energy shaping of port-Hamiltonian systems by using alternate passive outputs,” in Proceedings of the European Control Conference, pp. 2175–2180, Budapest, Hungary, 2009.
  10. B. Maschke, R. Ortega, and A. J. van der Schaft, “Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation,” IEEE Transactions on Automatic Control, vol. 45, no. 8, pp. 1498–1502, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. R. Ortega, A. J. van der Schaft, B. M. Maschke, G. Escobar, and Interconnection, “and damping assignment passivity-based control: a survey,” European Journal of Control, vol. 10, no. 5, pp. 432–450, 2004. View at Google Scholar
  12. R. Ortega, A. van der Schaft, B. Maschke, and G. Escobar, “Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems,” Automatica, vol. 38, no. 4, pp. 585–596, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. S.-C. Lee and J. H. Park, “Performance improvement of PI controller with nonlinear error shaping function: IDA-PBC approach,” Applied Mathematics and Computation, vol. 215, no. 10, pp. 3620–3630, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. V. Petrovic, R. Ortega, and A. tankovic, “Interconnection and damping assignment approach to control of permanent magnet synchrnous motor,” IEEE Transactions on Control System Technology, vol. 9, no. 6, pp. 811–820, 2001. View at Google Scholar
  15. Y. Guo, Z. Xi, and D. Cheng, “Speed regulation of permanent magnet synchronous motor via feedback dissipative Hamiltonian realisation,” IET Control Theory & Applications, vol. 1, no. 1, pp. 281–290, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  16. H. Yu, Z. Zou, and S. Yu, “Speed regulation of PMSM based on port-controlled hamiltonian systems and PI control principle,” in Proceedings of IEEE International Conference on Automation and Logistics, pp. 647–651, 2009.
  17. S. H. Yu, X. Yu, B. Shirinzadeh, and Z. Man, “Continuous finite-time control for robotic manipulators with terminal sliding mode,” Automatica, vol. 41, no. 11, pp. 1957–1964, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. S. P. Bhat and D. S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM Journal on Control and Optimization, vol. 38, no. 3, pp. 751–766, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. S. H. Li, H. Liu, and S. Ding, “A speed control for a PMSM using finite-time feedback control and disturbance compensation,” Transactions of the Institute of Measurement and Control, vol. 32, no. 2, pp. 170–187, 2010. View at Google Scholar
  20. S. Laghrouche, F. Plestan, and A. Glumineau, “A higher order sliding mode controller for a class of MIMO nonlinear systems: application to PM synchronous motor control,” in Proceedings of American Control Conference, pp. 2592–2597, Boston, Mass, USA, 2004.
  21. Y. Z. Wang and G. Feng, “Finite-time stabilization of port-controlled Hamiltonian systems with application to nonlinear affine systems,” in Proceedings of American Control Conference, pp. 1202–1207, 2008.
  22. S. M. Ma and Y. Z. Wang, “Finite-time stability of a class of generalized Hamiltonian systems with application to control design of nonlinear affine systems,” Journal of Shandong University, vol. 41, no. 2, pp. 119–125, 2011. View at Google Scholar