Article | Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany | Recording of Model Frequency Responses and Describing Functions in Modelica Linköping University Electronic Press Conference Proceedings
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Title:
Recording of Model Frequency Responses and Describing Functions in Modelica
Author:
Tilman Bünte: German Aerospace Center (DLR), Institute of Robotics and Mechatronics, Germany
DOI:
10.3384/ecp11063686
Download:
Full text (pdf)
Year:
2011
Conference:
Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany
Issue:
063
Article no.:
076
Pages:
686-696
No. of pages:
11
Publication type:
Abstract and Fulltext
Published:
2011-06-30
ISBN:
978-91-7393-096-3
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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An assistant Modelica package is introduced which supports the determination of model frequency responses or describing functions of Modelica models; as the case may be. The result is frequency response data which can be used for further analysis such as stability properties of the system in closed loop control or the derivation of linear time invariant (LTI) model approximations. The paper addresses inter alia proper scheduling of excitation frequency and amplitude; a brief theory of describing functions (harmonic linearization); the Modelica classes implemented in the package; and some application examples.

Keywords: Frequency response; describing function; system identification

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Tilman Bünte
Title:
Recording of Model Frequency Responses and Describing Functions in Modelica
DOI:
http://dx.doi.org/10.3384/ecp11063686
References:

[1] Baur; M.; Otter; M.; Thiele; B.: Modelica Libraries for Linear Control Systems. Proc. 7th Modelica Conference; Como; Italy; 2009.

[2] Abel; A.; Nähring; T.: Frequency-Domain Analysis Methods for Modelica Models. Proc. 6th Int. Modelica Conference; Bielefeld; Germany; 2008

[3] Heckmann; A. et. al: The DLR FlexibleBodies library to model large motions of beams and of flexible bodies exported from finite element programs. Proc. 5th Int. Modelica Conference; Vienna; Austria; 2006.

[4] Edrén; J. et. al.: Modelica and Dymola for education in vehicle dynamics at KTH. Proc. 7th Int. Modelica Conference; Como; Italy; 2009.

[5] Ackermann; J.; Bünte; T.: Robust prevention of limit cycles for robustly decoupled car steering dynamics. Kybernetika; 35(1):105-116; 1999.

[6] Ackermann; J. et. al.: Robust Control: The Parameter Space Approach. Springer; Lon-don; 2002.

[7] EUROSYSLIB Project Profile; http://www.itea2.org/public/project_leaflets/EUROSYSLIB_profile_oct-07.pdf; 2007.

[8] FAIR Project profile http://www.forschungs-stiftung.de/index.php/Projekte/Details/FAIR-Fahrwerk-Antrieb-Integration-ins-Rad.html; 2009.

[9] Gelb; A.; Vander Velde W.: Multiple-Input Describing Functions and Nonlinear System Design. New York: MacGraw-Hill; 1968.

[10] Siljak; D.: Nonlinear systems: the parameter analysis and design. New York: Wiley; 1969

[11] Duda; H.: Fliegbarkeitskriterien bei begrenzter Stellgeschwindigkeit. Ph.D. thesis; Technische Universität Braunschweig; April 1997. Forschungsbericht 97-15; Deutsche Forschungsanstalt für Luft- und Raumfahrt e.V.; Köln.

[12] Pintelon; R.; Schoukens; J.: System identification: a frequency domain approach. IEEE Press; New York; 2001.

[13] Mitschke; M.; Wallentowitz; H.: Dynamik der Kraftfahrzeuge. 4. Auflage; Springer-Verlag; 2004.

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Tilman Bünte
Title:
Recording of Model Frequency Responses and Describing Functions in Modelica
DOI:
https://doi.org10.3384/ecp11063686
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