Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 572092, 9 pages
http://dx.doi.org/10.1155/2014/572092
Research Article

Iterative Selection of Unknown Weights in Direct Weight Optimization Identification

1School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, China
2Faculty of Information Systems and Technologies, University of Donja Gorica, 81101 Podgorica, Montenegro

Received 5 December 2013; Revised 1 April 2014; Accepted 2 April 2014; Published 8 May 2014

Academic Editor: Rongni Yang

Copyright © 2014 Xiao Xuan 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. L. Ljung, System Identification: Theory for the User, Prentice Hall, Upper Saddle River, NJ, USA, 1999.
  2. S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, Cambridge, UK, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  3. J. Roll, A. Nazin, and L. Ljung, “Nonlinear system identification via direct weight optimization,” Automatica, vol. 41, no. 3, pp. 475–490, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. J. Roll, A. Bemporad, and L. Ljung, “Identification of piecewise affine systems via mixed-integer programming,” Automatica, vol. 40, no. 1, pp. 37–50, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. J. Roll, “Piecewise linear solution paths with application to direct weight optimization,” Automatica, vol. 44, no. 11, pp. 2745–2753, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. S. Paoletti, J. Roll, A. Garulli, and A. Vicino, “On the input-output representation of piecewise affine state space models,” IEEE Transactions on Automatic Control, vol. 55, no. 1, pp. 60–73, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  7. E.-W. Bai and Y. Liu, “Recursive direct weight optimization in nonlinear system identification: a minimal probability approach,” IEEE Transactions on Automatic Control, vol. 52, no. 7, pp. 1218–1231, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  8. R. Pintelon and J. Schoukens, System Identification: A Frequency Domain Approach, IEEE Press, New York, NY, USA, 2001.
  9. J. Nocedal and S. J. Wright, Numerical Optimization, Springer Series in Operations Research and Financial Engineering, Springer, New York, NY, USA, 2nd edition, 2006. View at MathSciNet
  10. M. N. Zeilinger, C. N. Jones, and M. Morari, “Real-time suboptimal model predictive control using a combination of explicit MPC and online optimization,” IEEE Transactions on Automatic Control, vol. 56, no. 7, pp. 1524–1534, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  11. A. Van Mulders, J. Schoukens, and L. Vanbeylen, “Identification of systems with localised nonlinearity: from state-space to block-structured models,” Automatica, vol. 49, no. 5, pp. 1392–1396, 2013. View at Publisher · View at Google Scholar · View at MathSciNet