Frequency Limited H₂ Optimal Model Reduction of Large-Scale Sparse Dynamical Systems

2021/01/09 by Du, Xin, Uddin, M. Monir, Fony, A. Mostakim +2
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2101.04566

Abstract

We mainly consider the frequency limited H₂ optimal model order reduction of large-scale sparse generalized systems. For this purpose we need to solve two Sylvester equations. This paper proposes efficient algorithm to solve them efficiently. The ideas are also generalized to index-1 descriptor systems. Numerical experiments are carried out using Python Programming Language and the results are presented to demonstrate the approximation accuracy and computational efficiency of the proposed techniques.

Related

• H₂-optimal Model Reduction of Linear Quadratic Output Systems in Finite Frequency Range
• Frequency-limited H₂ Model Order Reduction Based on Relative Error
• Adaptive Frequency-limited H2-Model Order Reduction
• Frequency-weighted H2-Pseudo-optimal Model Order Reduction
• Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model