CUED Publications database

Global results on reset-induced periodic trajectories of planar systems

Bisoffi, A and Forni, F and Da Lio, M and Zacearian, L (2016) Global results on reset-induced periodic trajectories of planar systems. In: European Control Conference, ECC 2016, -- to -- pp. 2644-2649..

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© 2016 EUCA. 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.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:11
Last Modified: 17 Aug 2021 07:22
DOI: 10.1109/ECC.2016.7810689