Publication

Balancing of Lossless and Passive Systems

Schaft, A. V. D., Oct-2008, In : IEEE Transactions on Automatic Control. 53, 9, p. 2153-2157 5 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Schaft, A. V. D. (2008). Balancing of Lossless and Passive Systems. IEEE Transactions on Automatic Control, 53(9), 2153-2157. https://doi.org/10.1109/TAC.2008.930192

Author

Schaft, Arjan van der. / Balancing of Lossless and Passive Systems. In: IEEE Transactions on Automatic Control. 2008 ; Vol. 53, No. 9. pp. 2153-2157.

Harvard

Schaft, AVD 2008, 'Balancing of Lossless and Passive Systems', IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2153-2157. https://doi.org/10.1109/TAC.2008.930192

Standard

Balancing of Lossless and Passive Systems. / Schaft, Arjan van der.

In: IEEE Transactions on Automatic Control, Vol. 53, No. 9, 10.2008, p. 2153-2157.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Schaft AVD. Balancing of Lossless and Passive Systems. IEEE Transactions on Automatic Control. 2008 Oct;53(9):2153-2157. https://doi.org/10.1109/TAC.2008.930192


BibTeX

@article{f19f2568884543c9b547680b57fbcf29,
title = "Balancing of Lossless and Passive Systems",
abstract = "Different balancing techniques are applied to lossless nonlinear systems, with open-loop balancing applied to their scattering representation. It is shown that they all lead to the same result: the pair of to-be-balanced functions is given by two copies of the physical energy function, yielding thus no information about the relative importance of the state components in a balanced realization. In particular, in the linear lossless case all balancing singular values and similarity invariants are equal to one. This result is extended to general passive systems, in which case the to-be-balanced functions are ordered into a single sequence of inequalities, and the similarity invariants are all less than or equal to one.",
keywords = "Balancing, lossless, nonlinear, passive, scattering, PRESERVING MODEL-REDUCTION, NONLINEAR-SYSTEMS, LINEAR-SYSTEMS",
author = "Schaft, {Arjan van der}",
note = "Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",
year = "2008",
month = "10",
doi = "10.1109/TAC.2008.930192",
language = "English",
volume = "53",
pages = "2153--2157",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",
number = "9",

}

RIS

TY - JOUR

T1 - Balancing of Lossless and Passive Systems

AU - Schaft, Arjan van der

N1 - Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2008/10

Y1 - 2008/10

N2 - Different balancing techniques are applied to lossless nonlinear systems, with open-loop balancing applied to their scattering representation. It is shown that they all lead to the same result: the pair of to-be-balanced functions is given by two copies of the physical energy function, yielding thus no information about the relative importance of the state components in a balanced realization. In particular, in the linear lossless case all balancing singular values and similarity invariants are equal to one. This result is extended to general passive systems, in which case the to-be-balanced functions are ordered into a single sequence of inequalities, and the similarity invariants are all less than or equal to one.

AB - Different balancing techniques are applied to lossless nonlinear systems, with open-loop balancing applied to their scattering representation. It is shown that they all lead to the same result: the pair of to-be-balanced functions is given by two copies of the physical energy function, yielding thus no information about the relative importance of the state components in a balanced realization. In particular, in the linear lossless case all balancing singular values and similarity invariants are equal to one. This result is extended to general passive systems, in which case the to-be-balanced functions are ordered into a single sequence of inequalities, and the similarity invariants are all less than or equal to one.

KW - Balancing

KW - lossless

KW - nonlinear

KW - passive

KW - scattering

KW - PRESERVING MODEL-REDUCTION

KW - NONLINEAR-SYSTEMS

KW - LINEAR-SYSTEMS

U2 - 10.1109/TAC.2008.930192

DO - 10.1109/TAC.2008.930192

M3 - Article

VL - 53

SP - 2153

EP - 2157

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

IS - 9

ER -

ID: 2762024