Skip to main content

Efficient Substructure Preserving MOR Using Real-Time Temporal Supervised Neural Network

  • Conference paper
Networked Digital Technologies (NDT 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 88))

Included in the following conference series:

  • 1148 Accesses

Abstract

This paper addresses a novel model order reduction (MOR) technique with dominant substructure preservation. This process leads to cost minimization of the considered physical system which could be of any type from motors to circuitry packaging to software design. The new technique is formulated based on an artificial neural network (ANN) transformation along with the linear matrix inequality (LMI) optimization method. The proposed method is validated by comparing its performance with the following well-known reduction techniques Balanced Schur Decomposition (BSD) and state elimination via balanced realization.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Rudnyi, E.B., Korvink, J.G.: Model Order Reduction of MEMS for Efficient Computer Aided Design and System Simulation. In: 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Netherlands, pp. 1–6 (2004)

    Google Scholar 

  2. Ramesh, K., Ayyar, K., Nirmalkumar, A., Gurusamy, G.: Design of Current Controller for Two Quadrant DC Motor Drive by Using Model Order Reduction Technique. International Journal of Computer Science and Information Security 7(1), 17–23 (2010)

    Google Scholar 

  3. Antoulas, A.: Approximation of large-scale dynamical systems, advances in design and control. SIAM, Philadelphia (2005)

    Google Scholar 

  4. Freund, R.: SPRIM: Structure-preserving reduced-order interconnect macro-modeling. In: IEEE/ACM ICCAD (2004)

    Google Scholar 

  5. Fujimoto, K., Scherpen, J.M.A.: Balancing and Model Reduction for Discrete-Time Nonlinear Systems based on Hankel Singular Value Analysis. In: Proc. MTNS 2004, Leuven, Belgium, pp. 343–347 (2004)

    Google Scholar 

  6. Haykin, S.: Neural Networks: a Comprehensive Foundation. Macmillan College Publishing Company, New York (1994)

    MATH  Google Scholar 

  7. Rabiei, P., Pedram, M.: Model-order reduction of large circuits using balanced truncation. In: Proc. IEEE ASP-DAC, pp. 237–240 (1999)

    Google Scholar 

  8. Safonov, M., Chiang, Y.: A Schur Method for Balanced-Truncation Model Reduction. IEEE Trans. on Automatic Control. 34(7), 729–733 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  9. Varga, A., Anderson, B.D.O.: Accuracy enhancing method for the frequency-weighted balancing related method reduction. In: Proc. CDC 2001, Orlando, Florida, pp. 3659–3664 (2001)

    Google Scholar 

  10. Heydari, P., Pedram, M.: Model-Order Reduction Using Variational Balanced Truncation with Spectral Shaping. IEEE Transactions on Circuits and Systems I 53(4), 879–891 (2006)

    Article  MathSciNet  Google Scholar 

  11. Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1994)

    MATH  Google Scholar 

  12. Iracleous, D., Alexandridis, A.: A simple Solution to the Optimal Eigenvalue assignment Problem. IEEE Trans. Act. Auto. Cont. 9(44), 1746–1749 (1999)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Alsmadi, O.M.K., Abo-Hammour, Z.S., Al-Smadi, A.M. (2010). Efficient Substructure Preserving MOR Using Real-Time Temporal Supervised Neural Network. In: Zavoral, F., Yaghob, J., Pichappan, P., El-Qawasmeh, E. (eds) Networked Digital Technologies. NDT 2010. Communications in Computer and Information Science, vol 88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14306-9_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14306-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14305-2

  • Online ISBN: 978-3-642-14306-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics