A new frequency weighted Fourier-based method for model order reduction

DOI10.1016/j.automatica.2017.11.016zbMath1379.93025OpenAlexW2781134124MaRDI QIDQ1693720

Rafał Stanisławski, Marek Rydel

Publication date: 31 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.11.016

zbMATH Keywords

identificationdiscrete Fourier transformcontrollability and observability Gramiansfrequency weighted model reductionlarge scale complex systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) System structure simplification (93B11) Large-scale systems (93A15)

Related Items (6)

Statistically inspired multi-shift Arnoldi projection for on-chip interconnects ⋮ A new generalized pole clustering-based model reduction technique and its application for design of controllers ⋮ An adaptive reduced order model for the angular discretization of the Boltzmann transport equation using independent basis sets over a partitioning of the space‐angle domain ⋮ New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian ⋮ Balanced truncation model order reduction in limited frequency and time intervals for discrete-time commensurate fractional-order systems ⋮ Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems

Cites Work

• Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction.
• A frequency weighted model order reduction technique and error bounds
• Modeling of discrete-time fractional-order state space systems using the balanced truncation method
• Algorithms for model reduction of large dynamical systems
• Improved results on frequency-weighted balanced truncation and error bounds
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• A new frequency-weighted balanced truncation method and an error bound
• Fourier Series for Accurate, Stable, Reduced-Order Models in Large-Scale Linear Applications
• Partial-Fraction Expansion Based Frequency Weighted Model Reduction Technique With Error Bounds
• Approximation of Large-Scale Dynamical Systems

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