Model reduction using balanced realizations with improved low frequency behaviour

DOI10.1016/0167-6911(89)90092-3zbMath0684.93010OpenAlexW1986232802MaRDI QIDQ1825799

Victor Sreeram, Panajotis Agathoklis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90092-3

zbMATH Keywords

impulse energyfrequency responsetime-invariantModel reductionbalanced realization techniques

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Minimal systems representations (93B20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Realizations from input-output data (93B15)

Related Items (7)

Model reduction of SISO systems by Routh expansion and balancing method ⋮ Identification and model reduction from impulse response data ⋮ Improvement of system order reduction via balancing using the method of singular perturbations ⋮ Balanced truncation of linear time-invariant systems over finite-frequency ranges ⋮ Model reduction of linear discrete systems via weighted impulse response gramians ⋮ A projection-based algorithm for model-order reduction with \(H_2\) performance: a convex-optimization setting ⋮ Singular perturbation approximation of balanced systems

Cites Work

• Unnamed Item
• Reciprocal transformations in balanced model-order reduction
• Linear system reduction by impulse energy approximation
• Balanced gains and their significance for<tex>L^{2}</tex>model reduction
• Stable biased reduced order models using the Routh method of reduction
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Singular perturbational model reduction of balanced systems
• Routh approximations for reducing order of linear, time-invariant systems

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