Model Reduction for Nonlinear Differential-Algebraic Equations

Abstract

In this paper we extend the Trajectory Piecewise Linear (TPWL) model order reduction (MOR) method for nonlinear differential algebraic equations (DAE). The TPWL method is based on combining several linear reduced models at different time points, which are created along a typical trajectory, to approximate the fully nonlinear model. We discuss how error control is used to select the linearisation tuples for linearisation, the choice of the linear MOR method and how we can create a globally reduced subspace. Then we study how to combine the locally linearised reduced systems to create a global TPWL model. Finally, we discuss a numerical result of the TPWL method.


[DOI: 10.1685 / CSC06152] About DOI