SYNOPSIS A method of generating reduced order models from the Laurent series expansion of a transfer function is examined by means of the Hankel Matrix and its correspondence to the field of rational functions. The approach enables particularly simple results to be derived regarding the composition of the reduced form and the avoidance of non minimum phase characteristics therein.
Get full access to this article
View all access options for this article.
References
1.
BosleyM J.LeesF P, ‘A Survey of Simple Transfer Function Derivations from High-Order State-Variable Models’, Automatica, 1972, Vol 8, pp 765–775Pergamon Press.
2.
ChenC FShiehL S, ‘A Novel Approach to Linear Model Simplification’, 1968, Joint Automatic Control Conference Record, pp 454–461.
3.
ChuangS C, ‘Application of Continued Fraction Expansion Method for Modelling Transfer Functions to Give More Accurate Initial Transient Response’, Electronics Letters, 1970, Vol 6, No 26, Dec, pp 861–863.
4.
ChuangS C, ‘A New Technique for Order Reduction of Linear Systems’, III IEEE National Symposium on Systems, (III Simposium Nacional de Sistemes, IEEE), Puebla, Mexico, June 1972.
5.
WhalleyRMunroN, ‘Analysis and Simulation of Naval Steam Generating Systems’, Inst MC Symposium on Simulating Boilers and Steam Distribution Systems, Cleveland Scientific Inst, Middlesborough, 1973.
6.
WhalleyR, ‘Control of Marine Propulsion Plant’, PhD Thesis, University of Manchester, 1976.
7.
GantmacherF R, ‘The Theory of Matrices’, 1960, Chelsea Publishing Company, New York, NY.
8.
KalmanR EFalbP LArbibM A, ‘Topics in Mathematical Systems Theory’, 1969, McGraw Hill Book Company, New York.
9.
GuillemanE A, ‘The Mathematics of Circuit Analysis’, 1959, John Wiley and Sons Inc, New York.
10.
WhalleyR, ‘A Program for Transfer Function Reduction’, RNEC, CSR Number 14, April 1973.
11.
ButterfieldM. H.GallC. J.‘Dynamic Model verification by comparison with plant tests on Winfrith SGHWR’. BNES Conference on Boiler Dynamics in Nuclear Power Stations, London, March 1973.
