Global results on reset-induced periodic trajectories of planar systems
Da, Lio Mauro
European Control Conference (ECC) 2015
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Bisoffi, A., Forni, F., Da, L. M., & Zaccarian, L. (2016). Global results on reset-induced periodic trajectories of planar systems. European Control Conference (ECC) 2015 https://www.repository.cam.ac.uk/handle/1810/254119
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.
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.
This record's URL: https://www.repository.cam.ac.uk/handle/1810/254119