Modified Nevanlinna-Pick interpolation and feedback stabilization of linear plants with uncertainty in the gain factor

DOI10.1080/00207178208932897zbMath0493.93043OpenAlexW1999435222MaRDI QIDQ3956828

Allen Tannenbaum

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207178208932897

zbMATH Keywords

feedback stabilizationasymptotically stable controlfeedback sensormodified Nevanlinna-Pick interpolation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Numerical interpolation (65D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30)

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Cites Work

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• Interpolation with positive-real functions
• Blending of uncertain nonminimum-phase plants for elimination or reduction of nonminimum-phase property†
• Feedback stabilization of linear dynamical plants with uncertainty in the gain factor