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Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 929430, 20 pages
http://dx.doi.org/10.1155/2011/929430
Research Article

State-PID Feedback for Pole Placement of LTI Systems

School of Electrical Engineering, Institute of Engineering, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand

Received 3 February 2011; Revised 28 March 2011; Accepted 15 June 2011

Academic Editor: J. Rodellar

Copyright © 2011 Sarawut Sujitjorn and Witchupong Wiboonjaroen. 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. W. G. Tuel, “On the transformation to (phase-variable) canonical form,” IEEE Transactions on Automatic Control, vol. 11, p. 607, 1966. View at Google Scholar
  2. W. M. Wonham, “On pole assignment in multi-input controllable linear systems,” IEEE Transactions on Automatic Control, vol. 12, no. 6, pp. 660–665, 1967. View at Google Scholar
  3. D. G. Luenberger, “Canonical forms for linear multivariable systems,” IEEE Transactions on Automatic Control, vol. 12, no. 3, pp. 290–293, 1967. View at Google Scholar
  4. J. Ackermann, “Der Entwurf linearer Regelungsysteme im Zustandraum,” Regelung-Stechnik und Prozessdatenverarbeitung, vol. 7, pp. 297–300, 1972. View at Google Scholar
  5. V. A. Armentano, “Eigenvalue placement for generalized linear systems,” Systems & Control Letters, vol. 4, no. 4, pp. 199–202, 1984. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. J. Kautsky, N. K. Nichols, and P. Van Dooren, “Robust pole assignment in linear state feedback,” International Journal of Control, vol. 41, no. 5, pp. 1129–1155, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. C. Nguyen, “Arbitrary eigenvalue assignments for linear time-varying multivariable control systems,” International Journal of Control, vol. 45, no. 3, pp. 1051–1057, 1987. View at Google Scholar
  8. Y. Y. Wang, S. J. Shi, and Z. J. Zhang, “Pole placement and compensator design of generalized systems,” Systems & Control Letters, vol. 8, no. 3, pp. 205–209, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. F. Blanchini, “New canonical form for pole placement,” IEE Proceedings: Control Theory and Applications, vol. 136, no. 6, pp. 314–316, 1989. View at Google Scholar
  10. M. Valasek and N. Olgac, “Generalization of Ackermann’s formula for linear MIMO time invariant and time varying systems,” in Proceedings of the 32nd Conference on Decisions and Control, pp. 827–832, San Antonio, Tex, USA, December 1993.
  11. M. Valasek and N. Olgac, “Efficient pole placement technique for linear time-variant SISO systems,” IEE Proceedings: Control Theory and Applications, vol. 142, no. 5, pp. 451–458, 1995. View at Publisher · View at Google Scholar
  12. M. Valášek and N. Olgac, “Efficient eigenvalue assignments for general linear MIMO systems,” Automatica, vol. 31, no. 11, pp. 1605–1617, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. T. H. S. Abdelaziz and M. Valasek, “A direct algorithm for pole placement by state-derivative feedback for single-input linear systems,” Acta Polytechnica, vol. 43, no. 6, pp. 52–60, 2003. View at Google Scholar
  14. T. H. S. Abdelaziz and M. Valášek, “Pole-placement for SISO linear systems by state-derivative feedback,” IEE Proceedings: Control Theory and Applications, vol. 151, no. 4, pp. 377–385, 2004. View at Publisher · View at Google Scholar
  15. S.-K. Kwak, G. Washington, and R. K. Yedavalli, “Acceleration feedback-based active and passive vibration control of landing gear components,” Journal of Aerospace Engineering, vol. 15, no. 1, pp. 1–9, 2002. View at Publisher · View at Google Scholar
  16. E. Reithmeier and G. Leitmann, “Robust vibration control of dynamical systems based on the derivative of the state,” Archive of Applied Mechanics, vol. 72, no. 11-12, pp. 856–864, 2003. View at Google Scholar
  17. T. H. S. Abdelaziz and M. Valasek, “State derivative feedback by lqr for linear time-invariant systems,” in Proceeding of 16th IFAC World Congress, vol. 16, Prague, Czech Republic, July 2005.
  18. M. R. Moreira, E. I. Mainardi Júnior, T. T. Esteves et al., “Stabilizability and disturbance rejection with state-derivative feedback,” Mathematical Problems in Engineering, vol. 2010, Article ID 123751, 12 pages, 2010. View at Google Scholar
  19. K. Ogata, Modern Control Engineering, Prentice Hall, New York, NY, USA, 2002.
  20. B. C. Kuo, Automatic Control Systems, Prentice-Hall, New York, NY, USA, 1987.
  21. G. Guo, Z. Ma, and J. Qiao, “State-PID feedback control with application to a robot vibration absorber,” International Journal of Modelling, Identification and Control, vol. 1, no. 1, pp. 38–43, 2006. View at Google Scholar