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.
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References
Antoulas, A.C.: Approximation of Large-Scale Dynamical Systems. SIAM, Philadelphia, (2005)
Odabasioglu, A., Celik, M., Pileggi, T.: PRIMA: Passive Reduced-order Interconnect Macromodeling Algorithm. IEEE Trans. Computer-Aided Des. Int. Circ. Systems 17(8), 645–654 (1998)
Meijer, P.B.L.: Table models for device modelling. Proc. ISCAS 3, 2593–2596 (1988)
Kerns, K.J., Yang, A.T.: Stable and efficient reduction of large, multiport networks by pole analysis via congruence transformations. IEEE Trans. Computer-Aided Des. Int. Circ. Syst. 16(7), 734–744 (1997)
Rommes, J., Schilders, W.H.A.: Efficient methods for large resistor networks. IEEE Trans. CAD Int. Circ. Syst. 29(1), 28–39 (2010)
Verhoeven, A., ter Maten, J., Striebel, M., Mattheij, R.: Model order reduction for nonlinear IC models. CASA-Report 07-41, TU Eindhoven (2007)
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)
Striebel, M., Rommes, J.: Model order reduction of nonlinear systems: status, open issues, and applications. Tech. Rep. CSC/08-07, Technische Universität Chemnitz (2008)
Günther, M., Feldmann, U., ter Maten, E.J.W.: Modelling and discretization of circuit problems. In: [12], pp. 523–650. Elsevier B.V. (2005)
Schilders, W.H.A., van der Vorst, H.A., Rommes, J. (eds.): Model Order Reduction: Theory, Research Aspects and Applications, Mathematics in Industry, vol. 13. Springer, Berlin (2008)
Hairer, E., Nørsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I – Nonstiff Problems, 2nd revised edn., Springer, Berlin (2000)
Ciarlet, P.G., Schilders, W.H.A., ter Maten, E.J.W. (eds.): Numerical Methods in Electromagnetics, Handbook of Numerical Analysis, vol. XIII, Elsevier, North Holland (2005)
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Striebel, M., Rommes, J. (2012). Model Order Reduction of Parameterized Nonlinear Systems by Interpolating Input-Output Behavior. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_43
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DOI: https://doi.org/10.1007/978-3-642-22453-9_43
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