Publication

Extended Balanced Truncation for Continuous Time LTI Systems

Scherpen, J. M. A. & Fujimoto, K., 29-Nov-2018, Proceedings of the European Control Conference 2018. EUCA, p. 2611-2615

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

APA

Scherpen, J. M. A., & Fujimoto, K. (2018). Extended Balanced Truncation for Continuous Time LTI Systems. In Proceedings of the European Control Conference 2018 (pp. 2611-2615). EUCA. https://doi.org/10.23919/ECC.2018.8550152

Author

Scherpen, Jacquelien M.A. ; Fujimoto, Kenji. / Extended Balanced Truncation for Continuous Time LTI Systems. Proceedings of the European Control Conference 2018. EUCA, 2018. pp. 2611-2615

Harvard

Scherpen, JMA & Fujimoto, K 2018, Extended Balanced Truncation for Continuous Time LTI Systems. in Proceedings of the European Control Conference 2018. EUCA, pp. 2611-2615, European Control Conference 2018 (ECC 2018), Limassol, Cyprus, 12/06/2018. https://doi.org/10.23919/ECC.2018.8550152

Standard

Extended Balanced Truncation for Continuous Time LTI Systems. / Scherpen, Jacquelien M.A.; Fujimoto, Kenji.

Proceedings of the European Control Conference 2018. EUCA, 2018. p. 2611-2615.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Vancouver

Scherpen JMA, Fujimoto K. Extended Balanced Truncation for Continuous Time LTI Systems. In Proceedings of the European Control Conference 2018. EUCA. 2018. p. 2611-2615 https://doi.org/10.23919/ECC.2018.8550152


BibTeX

@inproceedings{d9fd92973fa046d3800a58ca19808705,
title = "Extended Balanced Truncation for Continuous Time LTI Systems",
abstract = "In this paper we develop a continuous time counterpart of the balancing approach based on the extended Gramians for discrete time LTI systems. The extended Gramians are solutions to LMI's and can be seen as an extension/generalization of generalized Gramians which are solutions of the standard Lyapunov inequalities. These LMI's are rather different from the discrete time case, and are coupled to dissipativity arguments related to storage functions that are instrumental for obtaining an a priori error bound if balanced truncation is applied based on these extended Gramians. The approach provides flexibility in choosing the Gramians based on which the model is truncated, in order to get a low error bound, and possibly preserve a desired structure such as a network structure.",
author = "Scherpen, {Jacquelien M.A.} and Kenji Fujimoto",
year = "2018",
month = nov,
day = "29",
doi = "10.23919/ECC.2018.8550152",
language = "English",
isbn = "978-3-9524-2699-9",
pages = "2611--2615",
booktitle = "Proceedings of the European Control Conference 2018",
publisher = "EUCA",
note = "European Control Conference 2018 (ECC 2018) ; Conference date: 12-06-2018 Through 15-06-2018",

}

RIS

TY - GEN

T1 - Extended Balanced Truncation for Continuous Time LTI Systems

AU - Scherpen, Jacquelien M.A.

AU - Fujimoto, Kenji

PY - 2018/11/29

Y1 - 2018/11/29

N2 - In this paper we develop a continuous time counterpart of the balancing approach based on the extended Gramians for discrete time LTI systems. The extended Gramians are solutions to LMI's and can be seen as an extension/generalization of generalized Gramians which are solutions of the standard Lyapunov inequalities. These LMI's are rather different from the discrete time case, and are coupled to dissipativity arguments related to storage functions that are instrumental for obtaining an a priori error bound if balanced truncation is applied based on these extended Gramians. The approach provides flexibility in choosing the Gramians based on which the model is truncated, in order to get a low error bound, and possibly preserve a desired structure such as a network structure.

AB - In this paper we develop a continuous time counterpart of the balancing approach based on the extended Gramians for discrete time LTI systems. The extended Gramians are solutions to LMI's and can be seen as an extension/generalization of generalized Gramians which are solutions of the standard Lyapunov inequalities. These LMI's are rather different from the discrete time case, and are coupled to dissipativity arguments related to storage functions that are instrumental for obtaining an a priori error bound if balanced truncation is applied based on these extended Gramians. The approach provides flexibility in choosing the Gramians based on which the model is truncated, in order to get a low error bound, and possibly preserve a desired structure such as a network structure.

U2 - 10.23919/ECC.2018.8550152

DO - 10.23919/ECC.2018.8550152

M3 - Conference contribution

SN - 978-3-9524-2699-9

SP - 2611

EP - 2615

BT - Proceedings of the European Control Conference 2018

PB - EUCA

T2 - European Control Conference 2018 (ECC 2018)

Y2 - 12 June 2018 through 15 June 2018

ER -

ID: 61276442