Tracking sensitivity and achievable \(\mathcal H_{\infty}\) performance in preview control

DOI10.1016/j.automatica.2004.02.019zbMath1077.93017OpenAlexW1982228097MaRDI QIDQ705142

D. Kharzeev

Publication date: 26 January 2005

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.02.019

zbMATH Keywords

\(\mathcal H_\infty\) infinity performance\(\mathcal H_\infty\) tracking performancefinite preview linear tracking control systems for plants with closed right half complex plane zerosfrequency domain integral inequalitiesideal preview trackingreference tracking problemsresultant Poisson frequency domain integralsensitivity and performance limitations in automatic control systemstime domain integralstracking sensitivity function

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) (H^infty)-control (93B36)

Related Items

Tracking control for sampled-data systems with uncertain time-varying sampling intervals and delays ⋮ Design of a preview controller for discrete-time systems based on LMI ⋮ Kernel-based identification of non-causal systems with application to inverse model control ⋮ Stable inversion of LPTV systems with application in position-dependent and non-equidistantly sampled systems ⋮ Adaptive preview control for piecewise discrete-time systems using multiple models

Cites Work

• Nonlinear control systems: An introduction
• Trade-offs in linear control system design
• Interpolation of rational matrix functions
• Frequency domain properties of scalar and multivariable feedback systems
• \(H^{\infty}\) performance of preview control systems
• Design of an optimal servomechanism with preview action and its dual problem
• 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
• Optimal tracking performance: preview control and exponential signals
• Sensitivity integral relations and design trade-offs in linear multivariable feedback systems
• Stable inversion of nonlinear non-minimum phase systems
• Fundamental limitations in filtering and control
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