Model reduction using a frequency-limited \(\mathcal H_2\)-cost

DOI10.1016/j.sysconle.2014.02.004zbMath1288.93031arXiv1212.1603OpenAlexW1964491345MaRDI QIDQ2454148

Daniel Petersson, Johan Löfberg

Publication date: 13 June 2014

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1603

zbMATH Keywords

nonlinear optimizationmodel reduction\(\mathcal H_2\)-normgradient of cost function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) System structure simplification (93B11) Methods of reduced gradient type (90C52)

Related Items (10)

\(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold ⋮ An approach to \(H_{2,\omega}\) model reduction on finite interval for bilinear systems ⋮ On frequency- and time-limited \(\mathcal{H}_2\)-optimal model order reduction ⋮ H₂optimal model order reduction by two-sided technique on Grassmann manifold via the cross-gramian of bilinear systems ⋮ Balanced truncation model order reduction in limited time intervals for large systems ⋮ Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems ⋮ Finite-time balanced truncation for linear systems via shifted Legendre polynomials ⋮ Interpolatory Methods for Generic BizJet Gust Load Alleviation Function ⋮ Near-optimal frequency-weighted interpolatory model reduction ⋮ Time- and frequency-limited H₂-optimal model order reduction of bilinear control systems

Uses Software

• complib
• COMPleib
• mftoolbox

Cites Work

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• An approximate approach to H/sup 2/ optimal model reduction
• A new frequency-weighted balanced truncation method and an error bound
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• A Survey of Model Reduction by Balanced Truncation and Some New Results
• Model reduction for multivariable systems
• Functions of Matrices

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