Constraints on sensitivity characteristics in linear multivariable discrete-time control systems

DOI10.1016/0024-3795(89)90679-4zbMath0679.93011OpenAlexW1986036142MaRDI QIDQ1823205

Hak-kyung Sung, Shinji Hara

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90679-4

zbMATH Keywords

factorizationunstable polesdigital control systemsunstable zerosstate-space representationslinear multivariable discrete-time control systemsmixed sensitivity functionsensivity characteristics

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Synthesis problems (93B50)

Related Items (3)

Logarithmic integrals and system dynamics: an analogue of Bode's sensitivity integral for continuous-time, time-varying systems ⋮ Sensitivity integrals for multivariable discrete-time systems ⋮ Integral constraints and performance limits on complementary sensitivity: Discrete-time systems

Cites Work

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• Frequency domain properties of scalar and multivariable feedback systems
• Feedback, minimax sensitivity, and optimal robustness
• Right half plane poles and zeros and design tradeoffs in feedback systems
• Properties of sensitivity and complementary sensitivity functions in single-input single-output digital control systems
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• A sensitivity tradeoff for plants with time delay

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