Nanotech 2002 Vol. 1
Nanotech 2002 Vol. 1
Technical Proceedings of the 2002 International Conference on Modeling and Simulation of Microsystems

System Level Modeling of MEMS Chapter 3

Improving Trajectory Piecewise-Linear Approach to Nonlinear Model Order Reduction for Microm䁡chined Devices Using an Aggregated Projection Basis

Authors: M. Rewienski and J.K. White

Affilation: Massachusetts Institute of Technology,, United States

Pages: 128 - 131

Keywords: model order reduction, nonlinear dynamical systems, Krylov methods, piecewise-linear approach

Abstract:
In this paper we present an improved algorithm for nonlinear model order reduction (MOR) based on the trajectory piecewise-linear method proposed in [6] which, as shown before, provides an e ective and eÆcient strategy for automatically generating low-cost macromodels of highly nonlinear dynamical systems. The proposed extension consists of applying a more sophisticated projection basis, which merges multiple reduced order bases in Krylov subspaces generated at different linearization points. As a result we obtain a 'richer', aggregated reduced basis which, as shown on the example of a micromachined switch, enables us to improve the accuracy and further reduce the order of the macromodels for the considered highly nonlinear device.

Improving Trajectory Piecewise-Linear Approach to Nonlinear Model Order Reduction for Microm䁡chined Devices Using an Aggregated Projection Basis

ISBN: 0-9708275-7-1
Pages: 764