Static anti-windup synthesis for linear systems with time-varying input delays

Abstract : This article considers the design of an anti-windup compensator for linear systems subject to time-varying input delays and saturating actuators. Local and global stabilization conditions ensuring both external as well as internal stability of the closed-loop system are derived directly as linear matrix inequalities (LMIs). To compute the anti-windup gains, these conditions are cast into the following optimization problems: maximization of the set of admissible initial conditions, maximization of the bound of admissible L2 disturbances or the maximization of the L2-gain from the disturbance to the regulated output. Simulation examples are provided to illustrate the proposed solution.
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Flores Jeferson Vieira, Joâo Manoel Gomes da Silva, Alexandre Seuret. Static anti-windup synthesis for linear systems with time-varying input delays. 18th IFAC World Congress (IFAC WC 2011), Aug 2011, Milan, Italy. pp.6. ⟨hal-00581651⟩

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