Static anti-windup design for a class of nonlinear systems

Abstract : This paper focuses on the problem of static anti-windup design for a class of multivariable nonlinear systems subject to actuator saturation. The considered class regards all systems that are rational on the states or that can be conveniently represented by a rational system with algebraic constraints considering some variable changes. More precisely, a method is proposed to compute a static anti-windup gain which ensures regional stability for the closed-loop system assuming that a dynamic output feedback controller is previously designed to stabilize the nonlinear system. The results are based on a differential-algebraic representation of rational systems. The control saturation effects are taken into account by the application of a generalized sector bound condition. From these elements, LMI-based conditions are devised to compute an anti-windup gain with the aim of enlarging the closed-loop region of attraction. Several numerical examples are provided to illustrate the application of the proposed method.
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International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (5), pp.793-810. 〈10.1002/rnc.2917〉
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Dernière modification le : mardi 11 septembre 2018 - 15:19:06

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João Manoel Gomes da Silva Jr, M. Z. Oliveira, D. Coutinho, Sophie Tarbouriech. Static anti-windup design for a class of nonlinear systems. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (5), pp.793-810. 〈10.1002/rnc.2917〉. 〈hal-01856219〉

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