METT VIII - 8th Workshop on Matrix Equations and Tensor Techniques

Model Reduction of Differential-Algebraic Systems by Parameter-Dependent Balanced Truncation

7 Nov 2019, 15:00

2h

Main/groundfloor-none - Magistrale (Max Planck Institute for Dynamics of Complex Technical Systems)

Poster Posters Posters

Speaker

Jennifer Przybilla (Max Planck Institute for Dynamics of Complex Technical Systems)

Description

We deduce a procedure to use balanced truncation for parameter-dependent differential-algebraic systems. For this, we have to solve parameter-dependent Lyapunov equations. Since solving large-scale Lyapunov equations for every parameter leads to very high computational costs we utilize the reduced-basis method to get a reduced Lyapunov equation that we can solve instead. In order to use this method, we first make the matrix pencil of the system strictly dissipative to apply error estimators in the reduced basis method. Additionally, we deal with the algebraic parts of the system by using projections that lead to ordinary differential equations.