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Article Dans Une Revue IEEE Control Systems Letters Année : 2022

Static Linear Anti-Windup Design With Sign-Indefinite Quadratic Forms

Résumé

We design static anti-windup gains to mitigate the effect of input saturation in linear output feedback closed loops. The design is conducted with the help of a non-quadratic Lyapunov function involving sign-indefinite quadratic forms, which allows for additional degrees of freedom to be exploited, for the anti-windup gain design. Synthesis conditions, combining the use of sign-indefinite quadratic forms and several sector bound properties are stated in the form of bilinear matrix inequalities ensuring global exponential stability of the closed-loop system. An iterative design algorithm is then devised, based on the resolution of a sequence of semidefinite programs. The superiority of the proposed technique over classical quadratic constructions is illustrated on an example borrowed from the literature, where quadratic positive definite functions are ineffective.
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Dates et versions

hal-03741768 , version 1 (01-08-2022)

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Citer

Alberto Priuli, Sophie Tarbouriech, Luca Zaccarian. Static Linear Anti-Windup Design With Sign-Indefinite Quadratic Forms. IEEE Control Systems Letters, 2022, 6, pp.3158-3163. ⟨10.1109/LCSYS.2022.3182286⟩. ⟨hal-03741768⟩
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