Table of Contents Author Guidelines Submit a Manuscript
Journal of Combustion
Volume 2012, Article ID 927345, 11 pages
http://dx.doi.org/10.1155/2012/927345
Research Article

Robust Output Model Predictive Control of an Unstable Rijke Tube

Institute of Automatic Control, RWTH Aachen University, 52074 Aachen, Germany

Received 6 January 2012; Accepted 12 March 2012

Academic Editor: Xue-Song Bai

Copyright © 2012 Fabian Jarmolowitz 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. J. S. W. Rayleigh, The Theory of Sound, vol. 2, Courier Dover Publications, 1945.
  2. F. Nicoud and T. Poinsot, “Thermoacoustic instabilities: should the Rayleigh criterion be extended to include entropy changes?” Combustion and Flame, vol. 142, no. 1-2, pp. 153–159, 2005. View at Publisher · View at Google Scholar · View at Scopus
  3. S. Candel, “Combustion dynamics and control: progress and challenges,” in Proceedings of the 29th International Symposium on Combustion Hokkaido University Sapporo Japan, vol. 29, pp. 1–28, July 2002. View at Scopus
  4. A. P. Dowling and A. S. Morgans, “Feedback control of combustion oscillations,” Annual Review of Fluid Mechanics, vol. 37, pp. 151–182, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. B. T. Zinn and T. C. Lieuwen, “Combustion instabilities: basic concepts,” in Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms, and Modeling, T. C. Lieuwen and V. Yang, Eds., vol. 210, pp. 3–26, American Institute of Aeronautics and Astronautics, 2005. View at Google Scholar
  6. B. Pluymers, J. A. Rossiter, J. Suykens, and B. De Moor, “A simple algorithm for robust MPC,” in Proceedings of the IFACWorld Congress, Prague, Czech Republic, 2005.
  7. A. P. Dowling, “Nonlinear self-excited oscillations of a ducted flame,” Journal of Fluid Mechanics, vol. 346, pp. 271–290, 1997. View at Google Scholar · View at Scopus
  8. T. Poinsot and D. Veynante, Theoretical and Numerical Combustion, R. T. Edwards, 2nd edition, 2005.
  9. A. S. Morgans and A. P. Dowling, “Model-based control of combustion instabilities,” Journal of Sound and Vibration, vol. 299, no. 1-2, pp. 261–282, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. T. Lieuwen, “Modeling premixed combustion-acoustic wave interactions: a review,” Journal of Propulsion and Power, vol. 19, no. 5, pp. 765–781, 2003. View at Google Scholar · View at Scopus
  11. P. A. Hield, M. J. Brear, and S. H. Jin, “Thermoacoustic limit cycles in a premixed laboratory combustor with open and choked exits,” Combustion and Flame, vol. 156, no. 9, pp. 1683–1697, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Crocco and S. L. Cheng, “Theory of combustion instability in liquid propellant rocket motors,” AGARDOGRAPH 8, Butterworths Science Publication, 1956. View at Google Scholar
  13. T. Schuller, D. Durox, and S. Candel, “A unified model for the prediction of laminar flame transfer functions: comparisons between conical and V-flame dynamics,” Combustion and Flame, vol. 134, no. 1-2, pp. 21–34, 2003. View at Publisher · View at Google Scholar · View at Scopus
  14. A. P. Dowling, “A kinematic model of a ducted flame,” Journal of Fluid Mechanics, vol. 394, pp. 51–72, 1999. View at Google Scholar · View at Scopus
  15. X. Yuan, K. Glover, and A. P. Dowling, “Modeling investigation for thermoacoustic oscillation control,” in Proceedings of the American Control Conference, pp. 3323–3328, Baltimore, Md, USA, 2010.
  16. F. Jarmolowitz, Ch. Gro-Weege, Th. Lammersen, and D. Abel, “Modelling and robust Model Predictive Control of an unstable thermoacoustic system with input constraints,” in Proceedings of the American Control Conference, Montreal, Canada, 2012.
  17. J. A. Rossiter, Model-Based Predictive Control: A Practical Approach, CRC Press, 2003.
  18. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, “Constrained model predictive control: stability and optimality,” Automatica, vol. 36, no. 6, pp. 789–814, 2000. View at Publisher · View at Google Scholar · View at Scopus
  19. J. B. Rawlings and D. Q. Mayne, Model Predictive Control: Theory and Design, Nob Hill, 2009.
  20. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, SIAM, Philadelphia, Pa, USA, 1994.
  21. B. Pluymers, J. A. Rossiter, J. Suykens, and B. De Moor, “The effcient computation of polyhedral invariant sets for linear systems with polytopic uncertainty,” in Proceedings of the American Control Conference, pp. 804–809, Portland, Ore, USA, 2005.
  22. J. Lunze, Regelungstechnik 2: Mehrgroensysteme, Digitale Regelung, Springer, 2010.
  23. H. J. Ferreau, H. G. Bock, and M. Diehl, “An online active set strategy to overcome the limitations of explicit MPC,” International Journal of Robust and Nonlinear Control, vol. 18, no. 8, pp. 816–830, 2008. View at Publisher · View at Google Scholar · View at Scopus