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

Rémi Azouit 1 Antoine Chaillet 2, * Luca Greco 2
* Corresponding author
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
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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Rémi Azouit, Antoine Chaillet, Luca Greco. Robustness under saturated feedback: Strong iISS for a class of nonlinear systems. 13th European Control Conference (ECC 2014), Jun 2014, Strasbourg, France. pp.1-8, ⟨10.1109/ecc.2014.6862421 ⟩. ⟨hal-00981115⟩

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