Demonstrating Filtered Feedback Control Near a Boundary Crisis
Year: 2021
Authors: Meucci R., Euzzor S., Ciofini M., Lapucci A., Zambrano S.
Autors Affiliation: CNR, Ist Nazl Ott, I-50125 Florence, Italy; Univ Firenze, Dept Phys & Astron, I-50121 Florence, Italy; Univ Vita Salute San Raffaele, Sch Med, I-20132 Milan, Italy; IRCCS San Raffaele Sci Inst, Div Genet & Cell Biol, I-20132 Milan, Italy.
Abstract: In this paper we address the problem of controlling chaos by using a selective filter inserted in a negative feedback loop. This has been achieved in driven double-well Duffing oscillator in a parameter region exhibiting both a boundary crisis and generalized bistability. The optimization of the filter response allows us to improve the reduction of the control signal when the periodic solution competing with the chaotic attractor is approached. The advantage in using a selective frequency approach with respect to the Pyragas’s method mainly resides in the tunahility of the maximum of its amplitude response and zero phase condition. Numerical simulations performed in the temporal domain match with the experiment and make us glimpse the potential of an automatic adaptive strategy adopting filter parameter variations in order to reach an optimal feedback signal reduction.
Journal/Review: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume: 68 (7) Pages from: 3023 to: 3030
KeyWords: Chaos; chaos control; oscillators; nonlinear systems; nonlinear dynamical systems; electronic circuitsDOI: 10.1109/TCSI.2021.3077656Citations: 5data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-13References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here