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Abstrakty
In this paper, an improvement in Pade approximation is proposed to reduce the order of a linear-time-invariant higher order stable system, using the Hermite-Biehler stability theorem. Two free parameters are introduced in the denominator polynomial of the reduced model. It will be shown that for any positive values of these two parameters, the resulting reduced model will be stable. The numerator polynomial and these two parameters are obtained by matching time moments. In this proposed algorithm, the reduced model matches (r + 2) time moments exactly while (r + 3)-th moment is matched approximately. The proposed method is illustrated by two numerical examples.
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Tom
Strony
5--17
Opis fizyczny
Bibliogr. 8 poz., wykr.
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autor
autor
- Systems and Control Engineering, Indian Institute of Technology, Bombay, Mumbai-400076, India., bijnan@sc.iitb.ac.in
Bibliografia
- [1] ANDERSON B. D. O., LIU Y., Controller reduction: concepts and approaches, IEEE Trans. Automat. Control, 1989,802-812.
- [2] OBINATA G., ANDERSON B. D. O., Model reduction for control system design, Springer-Verlag, London 2001.
- [3] BOSLEY M. J., LEES F. H., A survey of simple transfer-function derivations from high-order stale-variable models, Automatica, Vol. 8, 1972, 765-775.
- [4] GENESIO R., MILANESE M., A note on the derivation and use of reduced-order models, IEEE Trans. Automat. Control, 1976, 118-122.
- [5] SINHA N. K., KUSZTA, Modelling and identification of dynamic systems, Van Nostrand Reinhold, New York 1983.
- [6] SHAMASH Y., Model reduction using the routh stability criterion and the pade approximation technique, Int. J. Control, Vol. 21, No. 3, 1975, 475-484.
- [7] LEPSCHY A., VIARO U., An improvement in the Routh-Pade approximation technique. Int. J. Control, Vol.36, No. 4, 1982,643-661.
- [8] BHATTACHARYA S. P., CHAPELLAT H.. KEEL L. H.. Robust control: the parametric approach. Upper Saddle River: Prentice-Hall PTR, 1995.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT5-0023-0010