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Global results on reset-induced periodic trajectories of planar systems

Accepted version
Peer-reviewed

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Type

Conference Object

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Authors

Bisoffi, A 
Da Lio, M 
Zacearian, L 

Abstract

We study the existence of asymptotically stable periodic trajectories induced by reset feedback. The analysis is developed for a planar system. Casting the problem into the hybrid setting, we show that a periodic orbit arises from the balance between the energy dissipated during flows and the energy restored by resets, at jumps. The stability of the periodic orbit is studied with hybrid Lyapunov tools. The satisfaction of the so-called hybrid basic conditions ensures the robustness of the asymptotic stability. Extensions of the approach to more general mechanical systems are discussed.

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Keywords

cs.SY, cs.SY, math.DS

Journal Title

2016 European Control Conference, ECC 2016

Conference Name

2016 European Control Conference (ECC)

Journal ISSN

Volume Title

Publisher

IEEE
Sponsorship
Work supported in part by ANR under project LimICoS, contract number 12 BS03 005 01, by the iCODE institute, research project of the Idex ParisSaclay, and by the University of Trento, grant OptHySYS.