Strong iISS for a class of systems under saturated feedback

Rémi Azouit 1, 2 Antoine Chaillet 3 Yacine Chitour 3 Luca Greco 3
1 QUANTIC - QUANTum Information Circuits
Inria de Paris, MINES ParisTech - École nationale supérieure des mines de Paris, ENS Paris - École normale supérieure - Paris, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : This paper proposes sufficient conditions under which a system can be made Strongly iISS in the presence of actuator saturation. This property was recently proposed as a compromise between the strength of ISS and the generality of iISS. It ensures in particular that solutions are bounded provided that the disturbance magnitude is below a certain threshold, and that they tend to the origin in response to any vanishing disturbance. We show that, under a growth rate condition, the bounded feedback law proposed by Lin and Sontag for the stabilization of the disturbance-free system based on the knowledge of a control Lyapunov function, ensures Strong iISS in the presence of perturbations. We illustrate our findings on the angular velocity control of a spacecraft with limited-power thrusters. In the specific case of linear time-invariant systems with neutrally stable internal dynamics, we provide a simple static state-feedback that ensures Strong iISS in presence of actuator saturations. This second result is illustrated by the robust stabilization of the harmonic oscillator. In both cases, we provide an estimate of the maximum disturbance amplitude that can be tolerated without compromising solutions' boundedness.
Type de document :
Article dans une revue
Automatica, Elsevier, 2016, 71, pp.272 - 280. 〈10.1016/j.automatica.2016.04.023〉
Liste complète des métadonnées

Littérature citée [33 références]  Voir  Masquer  Télécharger
Contributeur : Antoine Chaillet <>
Soumis le : mercredi 24 décembre 2014 - 11:07:12
Dernière modification le : vendredi 14 décembre 2018 - 01:31:27
Document(s) archivé(s) le : mercredi 25 mars 2015 - 10:07:29


Stong iISS Rémi HAL.pdf
Fichiers produits par l'(les) auteur(s)



Rémi Azouit, Antoine Chaillet, Yacine Chitour, Luca Greco. Strong iISS for a class of systems under saturated feedback. Automatica, Elsevier, 2016, 71, pp.272 - 280. 〈10.1016/j.automatica.2016.04.023〉. 〈hal-01098374〉



Consultations de la notice


Téléchargements de fichiers