On optimal approximation of high-order linear systems by low-order models

DOI10.1080/00207177508922092zbMath0339.93001OpenAlexW2107714310MaRDI QIDQ4108181

G. Hirzinger, Gerhard Kreisselmeier

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1080/00207177508922092

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15) Model systems in control theory (93C99)

Related Items (6)

A new two-step iterative method for optimal reduction of linear SISO systems ⋮ Aggregation method for linear large-scale systems with random coefficients and inputs ⋮ Optimal approximation of high-order systems subject to polynomial inputs ⋮ Optimal reduction of multivariable systems ⋮ Cost decomposition of linear systems with application to model reduction ⋮ The simplification of linear discrete-time systems by model-following methods

Cites Work

• A design technique for the incomplete state feedback problem in multivariable control systems
• Model reduction for multivariable systems
• Least squares reduction of linear systems using impulse response
• Model reduction of multivariable control systems by means of matrix continued fractions†
• A Rapidly Convergent Descent Method for Minimization
• Optimization of linear systems of constrained configuration†
• A Solution of the Bilinear Matrix Equation $AY + YB = - Q$
• On the approximation of multiple input-multiple output constant linear systems†

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