Strictly doubly coprime factorizations and all stabilizing compensators related to reduced-order observers

DOI10.1016/0005-1098(94)90056-6zbMath0816.93012OpenAlexW2064450896WikidataQ114215690 ScholiaQ114215690MaRDI QIDQ1344374

Peter Hippe

Publication date: 9 February 1995

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(94)90056-6

zbMATH Keywords

time-invariantreduced-order observerslinear time invariantpole-zero cancellationsdoubly coprime factorizationsnonproper factorizations

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Frequency-response methods in control theory (93C80) Linear systems in control theory (93C05) Observability (93B07) System structure simplification (93B11)

Related Items (1)

Doubly coprime decompositions of a collection of rational matrices

Cites Work

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• A nonminimal representation of reduced-order observers
• Fast projection methods for minimal design problems in linear system theory
• New results in state estimation and regulation
• Proper stable transfer matrix factorizations and internal system descriptions
• A connection between state-space and doubly coprime fractional representations
• Doubly coprime factorizations, reduced-order observers, and dynamic state estimate feedback
• Design of reduced-order optimal estimators directly in the frequency domain
• Parameterization of the full-order compensator in the frequency domain
• On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings

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