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On the optimal size of system model

  • System Modeling And Identification
  • Conference paper
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Book cover 5th Conference on Optimization Techniques Part I (Optimization Techniques 1973)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3))

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Abstract

The problem of finding the best size for the system model is considered. By explicitly synthesizing the complexity cost of a proposed model, one is able to transform this problem into a constrained integer programming problem.

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Abbreviations

x:

(s×1) model state vector

u:

(m×1) system control vector

α:

(q×r) model random parameter matrix.

s:

the model size (dimension of state vector, x)

ai,bi :

time-varying weighting coefficients

Bibliography

  1. Åström, K.J., and Eykhoff, P. System identification — A survey. Automatica, Vol. 7, pp. 123–162, 1971.

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  2. Woodside, C.M. Estimation of the order of linear systems. Automatica, Vol. 7, pp. 727–733, 1971.

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  3. Sage, A.P., and Melsa, J.L. System identification. Academic Press, New York, 1972.

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  4. Special issue on linear-quadratic-Gaussian problem. IEEE Trans. on Automatic Control, Vol. 16, Dec. 1971.

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  5. Graves, L.G., and Wolfe, P. Recent advances in Mathematical programming, McGraw-Hill, Inc., New York, 1963.

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Author information

Authors and Affiliations

  1. University of Louvain, Louvain-la-Neuve, Belgium

    Mohamed Z. Dajani

Authors
  1. Mohamed Z. Dajani
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Editor information

R. Conti A. Ruberti

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© 1973 Springer-Verlag Berlin Heidelberg

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Dajani, M.Z. (1973). On the optimal size of system model. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part I. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06583-0_3

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  • DOI: https://doi.org/10.1007/3-540-06583-0_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06583-8

  • Online ISBN: 978-3-540-37903-4

  • eBook Packages: Springer Book Archive

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