This paper deals with the performance of some numerical integration methods for Ordinary Differential Equations in real time applications involving stiffness. After summarising the main results about accuracy and stability of some well known schemes, the point of view of the control is emphasized, by showing the impact of the numerical integration on the dynamics of the discretized model. Moreover some peculiarities of the numerical integration in hybrid systems are touched by introducing a simple hybrid model for testing the performances of some numerical integration schemes. Finally some experimental tests are shown, dealing with a control of a sensorless drive whose model is characterised by stiffness.

Numerical Integration of ODEs in Real Time Systems like State Observers: Stability Aspects / N. Bressan, S. Carmeli, F. Castelli-Dezza, M.F. Iacchetti, R. Perini - In: XIX International Conference on Electrical Machines (ICEM 2010), Rome, Italy, 6-8 September 2010[s.l] : IEEE, 2010. - ISBN 978-1-4244-4174-7. - pp. 1952-1958 (( Intervento presentato al 19. convegno ICEM 2010, International Conference on Electrical Machines tenutosi a Roma nel 2010 [10.1109/ICELMACH.2010.5608089].

Numerical Integration of ODEs in Real Time Systems like State Observers: Stability Aspects

N. Bressan
Primo
;
2010

Abstract

This paper deals with the performance of some numerical integration methods for Ordinary Differential Equations in real time applications involving stiffness. After summarising the main results about accuracy and stability of some well known schemes, the point of view of the control is emphasized, by showing the impact of the numerical integration on the dynamics of the discretized model. Moreover some peculiarities of the numerical integration in hybrid systems are touched by introducing a simple hybrid model for testing the performances of some numerical integration schemes. Finally some experimental tests are shown, dealing with a control of a sensorless drive whose model is characterised by stiffness.
Adaptive estimation; Integration; Numerical stability; Real time processing
Settore MAT/08 - Analisi Numerica
2010
Book Part (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/151836
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? ND
social impact