The best optimal Hankel-norm approximation of railway active wheelset models

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents an application of the model reduction for the wheelset of the railway vehicle from the best optimal Hankel-norm approximation. It is necessary to reduce the complexity of the control synthesis by model reduction techniques since the wheelset model is highly interactive with high order. The proposed approach solves the best optimal solution layer by layer from any optimal solution of each layer. This approach adopts the left inverses of inner function vectors characterized from the Schmidt pair. The McMillan degree of the reduced-order model for the successive layer can be determined. Fuerthermore, this successive layer will also become another approximation problem. This paper also proposes an algorithm to calculate the best optimal approximation recursively. The best optimal Hankel-norm approximation will be compared with the other optimal Hankel-norm approximation in frequency domain for the transfer function matrix and all its arrays. The results reveal that the best optimal Hankel-norm approximation is better in sense of the singular values not only in all layers but in all arrays.

Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
Pages2724-2729
Number of pages6
Publication statusPublished - 2010 Oct 15
Event2010 American Control Conference, ACC 2010 - Baltimore, MD, United States
Duration: 2010 Jun 302010 Jul 2

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Other

Other2010 American Control Conference, ACC 2010
CountryUnited States
CityBaltimore, MD
Period10-06-3010-07-02

Fingerprint

Transfer functions

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Young, J-S. (2010). The best optimal Hankel-norm approximation of railway active wheelset models. In Proceedings of the 2010 American Control Conference, ACC 2010 (pp. 2724-2729). [5531581] (Proceedings of the 2010 American Control Conference, ACC 2010).
Young, Jieh-Shian. / The best optimal Hankel-norm approximation of railway active wheelset models. Proceedings of the 2010 American Control Conference, ACC 2010. 2010. pp. 2724-2729 (Proceedings of the 2010 American Control Conference, ACC 2010).
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Young, J-S 2010, The best optimal Hankel-norm approximation of railway active wheelset models. in Proceedings of the 2010 American Control Conference, ACC 2010., 5531581, Proceedings of the 2010 American Control Conference, ACC 2010, pp. 2724-2729, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 10-06-30.

The best optimal Hankel-norm approximation of railway active wheelset models. / Young, Jieh-Shian.

Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 2724-2729 5531581 (Proceedings of the 2010 American Control Conference, ACC 2010).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Young J-S. The best optimal Hankel-norm approximation of railway active wheelset models. In Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 2724-2729. 5531581. (Proceedings of the 2010 American Control Conference, ACC 2010).