Skip to Main content Skip to Navigation
Conference papers

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.
Document type :
Conference papers
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal-supelec.archives-ouvertes.fr/hal-00981115
Contributor : Antoine Chaillet <>
Submitted on : Sunday, April 20, 2014 - 10:49:22 PM
Last modification on : Wednesday, September 16, 2020 - 4:47:35 PM
Long-term archiving on: : Monday, April 10, 2017 - 4:12:07 PM

File

140420_-_Strong_iISS_avec_Remi...
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

604

Files downloads

555