Optimal Routh approximations for continuous-time systems

DOI10.1080/00207728408926558zbMath0531.93042OpenAlexW2044413360MaRDI QIDQ3313727

Kuanyue Wang, Hwang, Chyi

Publication date: 1984

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728408926558

zbMATH Keywords

transfer functionintegral squared errorRouth approximationRouth tablelinear model reduction

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Transformations (93B17) Continued fractions; complex-analytic aspects (30B70) Model systems in control theory (93C99) Real rational functions (26C15)

Related Items (9)

Linear time invariant system order reduction using multipoint step response matching ⋮ Application of generalized block-pulse operational matrices for the approximation of continuous-time systems ⋮ Model reduction using new optimal Routh approximant technique ⋮ A suboptimal reduction algorithm for linear systems with a time delay ⋮ Linear system of order reduction using a modified balanced truncation method ⋮ New reduction technique by step error minimization for multivariable systems ⋮ Reduction of high-order discrete-time systems ⋮ Order reduction of z-transfer functions via multipoint Jordan continued- fraction expansion ⋮ A new family of Routh approximants

Cites Work

• Reduction of transfer functions by the stability-equation method
• On the selection of the dominant poles of a system to be retained in a low-order model
• Theory and recursive computation of 1-D matrix Pade approximants
• Routh approximant state space reduced order models for systems with uncontrollable modes
• Linear model reduction using Mihailov criterion and Padé approximation technique
• Stable reduced-order models using Padé-type approximations
• Routh approximations for reducing order of linear, time-invariant systems
• Linear model reduction using Hurwitz polynomial approximation
• Model reduction by Routh approximations
• Simplification of linear time-invariant systems by moment approximants †
• Simplification ofz-transfer functions by continued fractions †
• A method of simplifying large dynamic systems

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