Skip to main content

Information Theoretical Approach to Identification of Hybrid Systems

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4981))

Abstract

In this paper, we present a noisy version of the algebraic geometric approach of identifying parameters of discrete-time linear hybrid system. Two approximate ways of estimating hybrid parameters are considered: one is using MSE criteria, while the other is based on the information divergence that measures the distance between the error probability density function (PDF) of the identified model and the desired error PDF. A stochastic information divergence gradient algorithm is derived for the identification problem of non-gaussian system.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Vidal, R.: Generalized Principal Component Analysis (GPCA): an Algebraic Geometric Approach to Subspace Clustering and Motion Segmentation. PhD thesis, University of California (2003)

    Google Scholar 

  2. Vidal, R., Anderson, B.: Recursive identification of switched ARX hybrid models: exponential convergence and persistence of excitation. In: 43rd CDC conference (2004)

    Google Scholar 

  3. Hashambhoy, Y., Vidal, R.: Recursive Identification of Switched ARX Models with Unknown Number of Models and Unknown Orders. In: 44th CDC conference (2005)

    Google Scholar 

  4. Erdogmus, D., Principe, J.C.: Generalized information potential criterion for adaptive system training. IEEE Transactions on Neural Networks 13(5), 1035–1044 (2002)

    Article  Google Scholar 

  5. Juloski, A., Heemels, W., Ferrari-Trecate, G., Vidal, R., Paoletti, S., Niessen, J.: Comparison of four procedures for the identification of hybrid systems. In: Morari, M., Thiele, L. (eds.) HSCC 2005. LNCS, vol. 3414, pp. 354–369. Springer, Heidelberg (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Magnus Egerstedt Bud Mishra

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pu, L., Hu, J., Chen, B. (2008). Information Theoretical Approach to Identification of Hybrid Systems. In: Egerstedt, M., Mishra, B. (eds) Hybrid Systems: Computation and Control. HSCC 2008. Lecture Notes in Computer Science, vol 4981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78929-1_56

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-78929-1_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78928-4

  • Online ISBN: 978-3-540-78929-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics