Parametric Macromodeling using Interpolation of Sylvester based State-space Realizations

Elizabeth Rita Samuel, Luc Knockaert, Tom Dhaene

2013

Abstract

A novel state-space realization for parametric macromodeling is proposed in this paper. A judicious choice of the state-space realization is required to account for the generally assumed smoothness of the state-space matrices with respect to the design parameters. This is used in combination with suitable interpolation schemes to interpolate a set of state-space matrices, and hence the poles and residues indirectly, in order to build accurate parametric macromodels. The key points are the choice of a proper pivot matrix and the solution of a Sylvester equation for pole placement. Pertinent numerical examples validate the proposed state-space realization for parametric macromodeling

References

  1. Carvalho, J., Datta, K., and Hong, Y. (2003). A new block algorithm for full-rank solution of the sylvesterobserver equation. IEEE Transactions on Automatic Control, 48(12):2223 - 2228.
  2. De Caigny, J., Camino, J. F., and Swevers, J. (2009). Interpolating model identi- cation for siso linear parametervarying systems. Mechanical Systems and Signal Processing, 23(8):2395-2417.
  3. de Souza, E. and Bhattacharyya, S. (1981). Controllability,
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Paper Citation


in Harvard Style

Rita Samuel E., Knockaert L. and Dhaene T. (2013). Parametric Macromodeling using Interpolation of Sylvester based State-space Realizations . In Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-70-9, pages 319-325. DOI: 10.5220/0004401603190325


in Bibtex Style

@conference{icinco13,
author={Elizabeth Rita Samuel and Luc Knockaert and Tom Dhaene},
title={Parametric Macromodeling using Interpolation of Sylvester based State-space Realizations},
booktitle={Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2013},
pages={319-325},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004401603190325},
isbn={978-989-8565-70-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Parametric Macromodeling using Interpolation of Sylvester based State-space Realizations
SN - 978-989-8565-70-9
AU - Rita Samuel E.
AU - Knockaert L.
AU - Dhaene T.
PY - 2013
SP - 319
EP - 325
DO - 10.5220/0004401603190325