A combined time and frequency domain method for model reduction of discrete systems

DOI10.1016/0016-0032(81)90028-4zbMath0478.93036OpenAlexW1999074420MaRDI QIDQ1161488

Ruey-Yinn Hwang, Yen-Ping Shih, Hwang, Chyi

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0016-0032(81)90028-4

zbMATH Keywords

discrete systemsmodel reductiontransfer functionsleast squares estimateRouth approximationstability equationcombined time and frequency domain methodHurwitz polynomial approximationretaining dominant poles

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Transformations (93B17) Polynomials and rational functions of one complex variable (30C10)

Related Items

Combined methods for model reduction via discrete Laguerre polynomials, A direct Routh stability method for discrete system modelling, A discrete stability equation theorem and method of stable model reduction, Model reduction of discrete systems via discrete Chebyshev polynomials, A direct method for model reduction of discrete systems, Stable denominators for the simplification of z-transfer functions

Cites Work

• Unnamed Item
• Reduction of transfer functions by the stability-equation method
• Model reduction using the stability-equation method and the Padé approximation method
• On the selection of the dominant poles of a system to be retained in a low-order model
• Note on the equivalence of the Routh and Hurwitz methods of approximation
• Synthesis of transfer function from frequency response data
• A simple algorithm to perform the bilinear transformation
• Model reduction using the stability-equation method and the continued-fraction method
• Routh Approximations for Reducing Order of Discrete Systems
• 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
• Routh approximations for reducing order of linear, time-invariant systems
• A mixed method for multivariable system reduction
• Correspondence Comment on the paper “ simplification of z-transfer functions by continued fractions ”
• Homographic transformation for the simplification of discrete-time transfer functions by Padé approximation
• Linear model reduction using Hurwitz polynomial approximation
• Padé methods of Hurwitz polynomial approximation with application to linear system reduction
• Simplification of linear time-invariant systems by moment approximants †
• A new frequency domain technique for the simplification of linear dynamic systems
• Least squares reduction of linear systems using impulse response
• Model reduction of multivariable control systems by means of matrix continued fractions†
• Continued fraction methods for the reduction of discrete-time dynamic systems
• On the approximation of multiple input-multiple output constant linear systems†
• The continued fraction representation of transfer functions and model simplification †