Generation of stable limit cycles with prescribed frequency and amplitude via polynomial feedback

Publikation: Beitrag in Buch/Konferenzbericht/Sammelband/GutachtenBeitrag in KonferenzbandBeigetragenBegutachtung


We consider a controllable linear time invariant model in state space of dimension n which might be the Jacobian linearization of a nonlinear model. Alternatively it may arise from a preceding input-output or input-state linearization. The usual objective for such systems is to stabilize an equilibrium. However, it might as well be interesting to have a stable limit cycle around the equilibrium. So far, limit cycles are often studied in the context of nonsmooth dynamics. In contrast, our approach results in a smooth and simple feedback. The first step is to impose a pair of purely imaginary eigenvalues to the system while the second one is to construct a bilinear form with which the resulting oscillations can be stabilized at a given amplitude.


TitelInternational Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings
PublikationsstatusVeröffentlicht - 2012


ReiheIEEE SSD International Multi-Conference on Systems, Signals and Devices


Titel9th International Multi-Conference on Systems, Signals and Devices, SSD 2012
Dauer20 - 23 März 2012

Externe IDs

ORCID /0000-0002-3347-0864/work/142255185