Model reduction of linear discrete systems via weighted impulse response gramians

DOI10.1080/00207179108953613zbMath0723.93010OpenAlexW2053124524MaRDI QIDQ5202075

Panajotis Agathoklis, Victor Sreeram

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00207179108953613

zbMATH Keywords

input-output behaviourweighted impulse response gramians

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) System structure simplification (93B11) Algebraic methods (93B25)

Related Items (8)

Reduced order modelling of discrete-time systems ⋮ Identification and model reduction of 2-D systems via the extended impulse response Gramians ⋮ Parametric Smith iterative algorithms for discrete Lyapunov matrix equations ⋮ Internal model control design based on approximation of linear discrete dynamical systems ⋮ Order reduction of linear discrete systems using a genetic algorithm ⋮ Model reduction of bilinear systems described by input–output difference equation ⋮ \(H_{\infty }\) model reduction for discrete-time singular systems ⋮ Approximation of a linear dynamic process model using the frequency approach and a non-quadratic measure of the model error

Cites Work

• Unnamed Item
• Model reduction using balanced realizations with improved low frequency behaviour
• Estimation of the margin of stability for linear continuous and discrete systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Balanced gains and their significance for<tex>L^{2}</tex>model reduction
• A projection approach to covariance equivalent realizations of discrete systems
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• On the structure of balanced and other principal representations of SISO systems

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