DocumentCode :
3106371
Title :
Minimum Order Transfer Function: the Interpolation Approach
Author :
Baramov, Lubomir ; Havlena, Vladimir
Author_Institution :
Honeywell Prague Laboratory, Pod vodarenskouvezi 4, Prague 8, 18208, Czech Republic (phone: +420 266052827; fax: +420 286890555; e-mail: lubomir.baramov@honeywell.com).
fYear :
2005
fDate :
12-15 Dec. 2005
Firstpage :
308
Lastpage :
313
Abstract :
This paper presents an algorithm for obtaining the minimum order MISO transfer function model for the use in a model-based predictive controller. The source model can be either a non-minimal ARX model, a state-space model or any interconnection of linear models of mixed state-space and transfer function representations. The algorithm is based on polynomial interpolation theory, representing polynomials by their values on a set of points in the complex plane. Using this theory, we can find the minimum order from the dimension of the null space of a particular matrix. Finding the minimum order model is equivalent to finding a specific base of the null space. A novel feature of the presented approach is using a set of complex interpolation nodes obtained by mapping the standard set of real Chebyshev nodes by a bilinear transform.
Keywords :
Chebyshev approximation; Input variables; Interpolation; Laboratories; MIMO; Modems; Null space; Polynomials; Predictive models; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1582173
Filename :
1582173
Link To Document :
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