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Conference Papers Year : 2014

Robustness under saturated feedback: Strong iISS for a class of nonlinear systems

Rémi Azouit
Luca Greco

Abstract

This note proposes sufficient conditions under which a nonlinear system can be made Strongly iISS in the presence of actuator saturation. This property, recently proposed as a compromise between the strength of ISS and the generality of iISS, ensures boundedness of all solutions provided that the disturbance magnitude is below a certain threshold. We also 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.

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hal-00981115 , version 1 (20-04-2014)

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Rémi Azouit, Antoine Chaillet, Luca Greco. Robustness under saturated feedback: Strong iISS for a class of nonlinear systems. ECC 2014 - European Control Conference, Jun 2014, Strasbourg, France. pp.1-8, ⟨10.1109/ecc.2014.6862421⟩. ⟨hal-00981115⟩
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