Frequency-domain reduction of linear systems using Schwarz approximation

DOI10.1080/00207178308933038zbMath0505.93032OpenAlexW1987931943MaRDI QIDQ4742633

A. M. Davidson, T. N. Lucas

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308933038

zbMATH Keywords

Routh approximationSchwarz approximationSchwarz canonical formfrequency-domain reductionmoments-matching

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Canonical structure (93B10) Asymptotic stability in control theory (93D20) Transformations (93B17) Continued fractions; complex-analytic aspects (30B70) Model systems in control theory (93C99)

Related Items (6)

Optimal model reduction by multipoint Padé approximation ⋮ Model reduction of linear discrete-time systems using bilinear Schwarz approximation ⋮ A tabular approach to the stability equation method ⋮ New results on relationships between multipoint Padé approximation and stability preserving methods in model reduction ⋮ A canonical state-space representation for SISO systems using multipoint Jordan CFE ⋮ Stable denominators for the simplification of z-transfer functions

Cites Work

• Linear system reduction using Pade approximation to allow retention of dominant modes
• On Schwarz canonical form for large system simplification
• Routh approximations for reducing order of linear, time-invariant systems
• Reduction of discrete time systems using a modified Routh array
• A method of simplifying large dynamic systems

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