The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models

• Autorzy: Witold Byrski , Jedrzej Byrski
• Języki publikacji: EN

Abstrakty

EN

The paper presents two methods used for the identification of Continuous-time Linear Time Invariant (CLTI) systems. In both methods the idea of using modulating functions and a convolution filter is exploited. It enables the proper transformation of a differential equation to an algebraic equation with the same parameters. Possible different normalizations of the model are strictly connected with different parameter constraints which have to be assumed for the nontrivial solution of the optimal identification problem. Different parameter constraints result in different quality of identification. A thorough discussion on the role of parameter constraints in the optimality of system identification is included. For time continuous systems, the Equation Error Method (EEM) is compared with the continuous version of the Output Error Method (OEM), which appears as a special sub-case of the EEM.

Słowa kluczowe

EN

continuous systems; parameter constraints in identification; modulating functions; transfer function normalization; least squares method

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 2
• Strony: 379-388

Daty

wydano

2012

otrzymano

2011-01-31

poprawiono

2011-10-04

Twórcy

autor

Witold Byrski

• Department of Automatic Control, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

autor

Jedrzej Byrski

• Department of Automatic Control, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/v10006-012-0028-3