A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems

Abstract

• A new second order Krylov subspace method is proposed for model order reduction of large-scale bilinear systems. • The corresponding multi-moment matching for model order reduction of large-scale second order bilinear systems is derived. • The main characteristics such as symmetry and positive definiteness of the mass and stiffness matrices are preserved. • To show the efficacy of the presented method, an electrostatically actuated micro-device is considered as a case study. In this paper, a Krylov subspace method based on multi-moment matching is utilized for model order reduction of large-scale second order bilinear systems. Accordingly, model order reduction procedure will be directly applied to second order systems which avoids converting them into first order ones. In this way, the main characteristics of the second order system such as symmetry and positive definiteness of the mass and stiffness matrices will be preserved. Furthermore, an electrostatically actuated micro-electro-mechanical system device will be considered as a case study to show the effectiveness of the presented method. Simulation results indicate the excellent performance of the proposed model order reduction method.