An anti-windup design for polytopic systems by a parameter-dependent Lyapunov function approach

DOI10.1080/00207720500443050zbMath1126.93427OpenAlexW2075845127MaRDI QIDQ5423180

Zongli Lin, Yong-Yan Cao

Publication date: 22 October 2007

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720500443050

zbMATH Keywords

actuator saturationanti-winduppolytopic systemsparameter-dependent Lyapunov function

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

An anti-windup design to robust \(H_\infty\) control for singular Markovian jump systems with actuator saturation and general unknown transition rates ⋮ Anti-windup synthesis for systems with rate-limits using Riccati equations ⋮ H_∞ Guaranteed Cost Control for <scp>LPV</scp> Systems Subject to The Gain Constraint ⋮ Gain-scheduled, model-based anti-windup for LPV systems

Cites Work

• A unified framework for the study of anti-windup designs
• A new robust D-stability condition for real convex polytopic uncertainty
• Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation
• A new discrete-time robust stability condition
• Anti-windup design for internal model control
• Linear Matrix Inequalities in System and Control Theory
• Anti-windup controller design using linear parameter-varying control methods
• A new perspective on static and low order anti-windup synthesis
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
• Antiwindup for stable linear systems with input saturation: An LMI-based synthesis
• An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation
• Induced L2-norm control for LPV systems with bounded parameter variation rates

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