Controller reduction via stable factorization and balancing

DOI10.1080/00207178608933615zbMath0604.93020OpenAlexW2155538309WikidataQ126257555 ScholiaQ126257555MaRDI QIDQ3743201

Yi Liu, Brian D. O. Anderson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933615

zbMATH Keywords

balancingorder reductionright coprime factorizationoptimal controller transfer function

Mathematics Subject Classification ID

Factorization of matrices (15A23) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Synthesis problems (93B50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Cites Work

• Another balanced controller reduction algorithm
• Robust stabilization of singularly perturbed systems
• Frequency-weighted optimal Hankel-norm approximation of stable transfer functions
• Optimal Hankel-norm model reductions: Multivariable systems
• A note on balanced controller reduction
• A connection between state-space and doubly coprime fractional representations
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• Unnamed Item