Model reduction using the stability-equation method and the Padé approximation method

DOI10.1016/0016-0032(80)90096-4zbMath0442.93015OpenAlexW2002218400MaRDI QIDQ1143982

S. H. Smith

Publication date: 1980

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(80)90096-4

zbMATH Keywords

model reductionPade approximation methodstability-equation method

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Minimal systems representations (93B20) Approximation by rational functions (41A20)

Related Items (12)

Reduction of transfer functions using dispersion analysis and the continued-fraction method ⋮ A new technique for the reduced-order modelling of linear dynamic systems and design of controller ⋮ Model reduction via least-squares Padé simplification of squared-magnitude functions ⋮ The least squares Padé method for model reduction ⋮ A new generalized pole clustering-based model reduction technique and its application for design of controllers ⋮ A new model reduction method for the linear dynamic systems and its application for the design of compensator ⋮ A combined time and frequency domain method for model reduction of discrete systems ⋮ A discrete stability equation theorem and method of stable model reduction ⋮ Artificial neural network for discrete model order reduction with substructure preservation ⋮ New reduction technique by step error minimization for multivariable systems ⋮ Reduction of transfer functions from the stability-equation method and complex curve fitting ⋮ Model reduction for control systems with parameter variations

Cites Work

• Reduction of transfer functions by the stability-equation method
• Stable reduced-order models using Padé-type approximations
• Linear system reduction using Pade approximation to allow retention of dominant modes
• Model reduction using the Routh stability criterion and the Padé approximation technique
• A mixed method for multivariable system reduction
• A note on the derivation and use of reduced-order models
• A method for frequency domain simplification of transfer functions
• Padé methods of Hurwitz polynomial approximation with application to linear system reduction
• Model reduction of multivariable control systems by means of matrix continued fractions†
• On the relation between the continued fraction expansion and moments matching methods of model reduction †

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