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

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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Submitted on : Sunday, April 20, 2014 - 10:49:22 PM
Last modification on : Wednesday, September 16, 2020 - 4:47:35 PM
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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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