On the state feedback diagonal decoupling of linear systems described by (A, B, C, E) quadruples

DOI10.1080/00207178108922588zbMath0475.93031OpenAlexW2010503183MaRDI QIDQ3931112

A. I. G. Vardulakis

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207178108922588

zbMATH Keywords

state feedbackpole assignmenteigenvaluespolynomial matricesmultivariable systemseigenvectorsdecouplingdecoupling algorithmmatrix fraction descriptionsnecessary and sufficient condition for the solvabilityclosed-loop decoupled system

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Minimal systems representations (93B20) Transformations (93B17) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic methods (93B25) Decomposition methods (49M27) Matrices over function rings in one or more variables (15A54) Model systems in control theory (93C99)

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Cites Work

• Linear multivariable systems
• Linear multivariable control. A geometric approach
• The mechanism of decoupling
• Right divisors of numerator polynomial matrices and (A, B)-invariant subspaces
• An algorithm for decoupling and maximal pole assignment in multivariable systems by the use of state feedback
• The Decoupling of Multivariable Systems by State Feedback
• Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach
• On the Structure of Multivariable Systems