Static anti-windup design for a class of nonlinear systems

João Manoel Gomes da Silva Jr; M. Z. Oliveira; D. Coutinho; Sophie Tarbouriech

doi:10.1002/rnc.2917

Static anti-windup design for a class of nonlinear systems

João Manoel Gomes da Silva Jr ¹ M. Z. Oliveira ^{1, 2} D. Coutinho ³ Sophie Tarbouriech ⁴

1 UFRGS - Departamento de Engenharia Eletrica

2 Universidade de Caxias do Sul

3 UFSC - Universidade Federal de Santa Catarina [Florianópolis]

4 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]

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.

Type de document :

Article dans une revue

International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (5), pp.793-810. 〈10.1002/rnc.2917〉

Domaine :

Sciences de l'ingénieur [physics] / Automatique / Robotique

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https://hal.laas.fr/hal-01856219
Contributeur : Sophie Tarbouriech <>
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