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Journal of Control Science and Engineering
Volume 2008, Article ID 154956, 11 pages
http://dx.doi.org/10.1155/2008/154956
Research Article

Empirical Reduced-Order Modeling for Boundary Feedback Flow Control

1Department of Electrical Engineering and Computer Science, University of Tennessee, 1508 Middle Drive, Knoxville, TN 37996, USA
2Performance Assessment and Decision Analysis Department, Carlsbad Program Group, Sandia National Laboratories, 4100 National Parks Highway MS 1395, Carlsbad, NM 88220, USA
3Air Force Research Laboratory, Wright-Patterson Air Force Base, Dayton, OH 45433, USA

Received 27 December 2007; Revised 4 November 2008; Accepted 24 December 2008

Academic Editor: Onur Toker

Copyright © 2008 Seddik M. Djouadi 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.

Citations to this Article [11 citations]

The following is the list of published articles that have cited the current article.

  • Samir Sahyoun, and Seddik M. Djouadi, “Nonlinear model reduction for fluid flows,” Proceedings of the 2011 American Control Conference, pp. 1765–1769, . View at Publisher · View at Google Scholar
  • John R. Singler, “Variation of the balanced POD algorithm for model reduction of linear systems,” 2013 American Control Conference, pp. 496–501, . View at Publisher · View at Google Scholar
  • Samir Sahyoun, Jin Dong, and Seddik M. Djouadi, “Reduced order modeling for fluid flows based on nonlinear balanced truncation,” 2013 American Control Conference, pp. 1284–1289, . View at Publisher · View at Google Scholar
  • Samir Sahyoun, and Seddik M. Djouadi, “Time, space, and space-time hybrid clustering POD with application to the Burgers' equation,” 53rd IEEE Conference on Decision and Control, pp. 2088–2093, . View at Publisher · View at Google Scholar
  • Fernandez, Djouadi, and Camphouse, “Analytical computation of POD modes and n-width approximations for the heat equation with boundary control,” Proceedings of the IEEE Conference on Decision and Control, pp. 870–875, 2010. View at Publisher · View at Google Scholar
  • Zhanhua Ma, Sunil Ahuja, and Clarence W. Rowley, “Reduced-order models for control of fluids using the eigensystem realization algorithm,” Theoretical And Computational Fluid Dynamics, vol. 25, no. 1-4, pp. 233–247, 2011. View at Publisher · View at Google Scholar
  • Samir Sahyoun, Jin Dong, and Seddik M. Djouadi, “Reduced order modeling for fluid flows subject to quadratic type nonlinearities,” Proceedings of the IEEE Conference on Decision and Control, pp. 961–966, 2012. View at Publisher · View at Google Scholar
  • Samir Sahyoun, and Seddik Djouadi, “Local Proper Orthogonal Decomposition based on space vectors clustering,” 2013 3rd International Conference on Systems and Control, ICSC 2013, pp. 665–670, 2013. View at Publisher · View at Google Scholar
  • Samir Sahyoun, and Seddik M. Djouadi, “Nonlinear model reduction using Space Vectors Clustering POD with application to the Burgers' equation,” Proceedings of the American Control Conference, pp. 1661–1666, 2014. View at Publisher · View at Google Scholar
  • Samir Sahyoun, and Seddik M. Djouadi, “Control of Nonlinear PDEs based on Space Vectors Clustering reduced order systems,” IFAC Proceedings Volumes, vol. 47, no. 3, pp. 5181–5186, 2014. View at Publisher · View at Google Scholar
  • Seddik M. Djouadi, R. Chris Camphouse, and James H. Myatt, “Corrigendum to “Empirical Reduced-Order Modeling for Boundary Feedback Flow Control”,” Journal of Control Science and Engineering, vol. 2017, pp. 1–1, 2017. View at Publisher · View at Google Scholar