# Passivity Preserving Multipoint Model Order Reduction using Reflective Exploration

### Elizabeth Rita Samuel, Luc Knockaert, Tom Dhaene

#### Abstract

Reduced state-space models obtained by model order reduction methods must be accurate over the whole frequency range of interest and must also preserve passivity. In this paper, we propose multipoint reduction technique using reflective exploration for adaptively choosing the expansion points. The projection matrices obtained from the expansion points are merged to form the overall projection matrix. In order to obtain a more compact model the projection matrix is truncated based on its singular values. Finally, the reduced order model is obtained, while ensuring that the passivity of the reduced system is preserved during the reduction process.

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#### Paper Citation

#### in Harvard Style

Rita Samuel E., Knockaert L. and Dhaene T. (2014). **Passivity Preserving Multipoint Model Order Reduction using Reflective Exploration** . In *Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-039-0, pages 483-491. DOI: 10.5220/0005018804830491

#### in Bibtex Style

@conference{icinco14,

author={Elizabeth Rita Samuel and Luc Knockaert and Tom Dhaene},

title={Passivity Preserving Multipoint Model Order Reduction using Reflective Exploration},

booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2014},

pages={483-491},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005018804830491},

isbn={978-989-758-039-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Passivity Preserving Multipoint Model Order Reduction using Reflective Exploration

SN - 978-989-758-039-0

AU - Rita Samuel E.

AU - Knockaert L.

AU - Dhaene T.

PY - 2014

SP - 483

EP - 491

DO - 10.5220/0005018804830491