Publication

Model reduction by differential balancing based on nonlinear Hankel operators

Kawano, Y. & Scherpen, J. M. A., Jul-2017, In : IEEE Transactions on Automatic Control. 62, 7, 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Kawano, Y., & Scherpen, J. M. A. (2017). Model reduction by differential balancing based on nonlinear Hankel operators. IEEE Transactions on Automatic Control, 62(7). https://doi.org/10.1109/TAC.2016.2628201

Author

Kawano, Yu ; Scherpen, Jacquelien M.A. / Model reduction by differential balancing based on nonlinear Hankel operators. In: IEEE Transactions on Automatic Control. 2017 ; Vol. 62, No. 7.

Harvard

Kawano, Y & Scherpen, JMA 2017, 'Model reduction by differential balancing based on nonlinear Hankel operators', IEEE Transactions on Automatic Control, vol. 62, no. 7. https://doi.org/10.1109/TAC.2016.2628201

Standard

Model reduction by differential balancing based on nonlinear Hankel operators. / Kawano, Yu; Scherpen, Jacquelien M.A.

In: IEEE Transactions on Automatic Control, Vol. 62, No. 7, 07.2017.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Kawano Y, Scherpen JMA. Model reduction by differential balancing based on nonlinear Hankel operators. IEEE Transactions on Automatic Control. 2017 Jul;62(7). https://doi.org/10.1109/TAC.2016.2628201


BibTeX

@article{3f2ad72134484e0a88f93c0afb225837,
title = "Model reduction by differential balancing based on nonlinear Hankel operators",
abstract = "In this paper, we construct balancing theory for nonlinear systems in the contraction framework. First, we define two novel controllability and observability functions via prolonged systems. We analyze their properties in relation to controllability and observability, and use them for so-called differential balancing, and its application to model order reduction. One of the main contribution of this paper is showing that differential balancing has close relationships with the Frechet derivative of the nonlinear Hankel operator. Inspired by [3], we provide a generalization in order to have a computationally more feasible method. Moreover, error bounds for model reduction by generalized balancing are provided.",
keywords = "Reduced order systems, Controllability, Trajectory, Observability, Nonlinear systems, Stability analysis, Time-varying systems",
author = "Yu Kawano and Scherpen, {Jacquelien M.A.}",
year = "2017",
month = "7",
doi = "10.1109/TAC.2016.2628201",
language = "English",
volume = "62",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",
number = "7",

}

RIS

TY - JOUR

T1 - Model reduction by differential balancing based on nonlinear Hankel operators

AU - Kawano, Yu

AU - Scherpen, Jacquelien M.A.

PY - 2017/7

Y1 - 2017/7

N2 - In this paper, we construct balancing theory for nonlinear systems in the contraction framework. First, we define two novel controllability and observability functions via prolonged systems. We analyze their properties in relation to controllability and observability, and use them for so-called differential balancing, and its application to model order reduction. One of the main contribution of this paper is showing that differential balancing has close relationships with the Frechet derivative of the nonlinear Hankel operator. Inspired by [3], we provide a generalization in order to have a computationally more feasible method. Moreover, error bounds for model reduction by generalized balancing are provided.

AB - In this paper, we construct balancing theory for nonlinear systems in the contraction framework. First, we define two novel controllability and observability functions via prolonged systems. We analyze their properties in relation to controllability and observability, and use them for so-called differential balancing, and its application to model order reduction. One of the main contribution of this paper is showing that differential balancing has close relationships with the Frechet derivative of the nonlinear Hankel operator. Inspired by [3], we provide a generalization in order to have a computationally more feasible method. Moreover, error bounds for model reduction by generalized balancing are provided.

KW - Reduced order systems

KW - Controllability

KW - Trajectory

KW - Observability

KW - Nonlinear systems

KW - Stability analysis

KW - Time-varying systems

U2 - 10.1109/TAC.2016.2628201

DO - 10.1109/TAC.2016.2628201

M3 - Article

VL - 62

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

IS - 7

ER -

ID: 37893148