A Metric for Modal Truncation in Model Reduction Problems Part 2: Extension to Systems with High-Dimensional Input Space

摘要: In the first part of this study, a theoretical investigation an improved modal approach and complete error analysis proposed dominancy metric were presented. problem non-uniqueness for systems with multiple eigenvalues is described method to circumvent based on spatial distribution either sensors or actuators proposed. This technique implemented using QR factorization without solving Lyapunov equations. Moreover, such that it able use information extracted from spectral properties input. Also in order make more effective, input internal structure incorporated ranking process. It shown improvement particularly effective problems high-dimensional and/or output space as distributed loading moving load problems. Finally performance validated high system subjected force. That originates railway track problem.