Abstract
In this paper we propose a new approach for model order reduction of parameterized nonlinear systems. Instead of projecting onto the dominant state space, an analog macromodel is constructed for the dominant input-output behavior. This macromodel is suitable for (re)use in analog circuit simulators. The performance of the approach is illustrated for a benchmark nonlinear system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Antoulas, A.C.: Approximation of Large-Scale Dynamical Systems. SIAM, Philadelphia (2005)
Bourenkov, V., McCarthy, K., Mathewson, A.: MOS table models for circuit simulation. IEEE Trans. Comp.-Aided Des. Integrated Circ. Syst. 24(3), 352–362 (2005). doi:10.1109/ TCAD.2004.842818
Chaturantabut, S., Sorensen, D.C.: Nonlinear model reduction via discrete empirical interpolation. SIAM J. Sci. Comput. 32(5), 2737–2764 (2010)
Meijer, P.: Fast and smooth highly nonlinear multidimensional table models for device modelling. IEEE Trans. Circ. Syst. 37(3), 335–346 (1990)
Rewieński, M.J., White, J.: A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices. IEEE Trans. CAD Int. Circ. Syst. 22(2), 155–170 (2003)
Roos, J., Valtonen, M.: An efficient piecewise-linear dc analysis method for general non-linear circuits. Int. J. Circ. Theor. Appl. 27, 311–330 (1999)
Striebel, M., Rommes, J.: Model order reduction of nonlinear systems: Status, open issues, and applications. Tech. Rep. CSC/08-07, Technische Universität Chemnitz (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Striebel, M., Rommes, J. (2012). Model Order Reduction of Nonlinear Systems By Interpolating Input-Output Behavior. In: Günther, M., Bartel, A., Brunk, M., Schöps, S., Striebel, M. (eds) Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry(), vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-25100-9_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25099-6
Online ISBN: 978-3-642-25100-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)