Demonstrating Filtered Feedback Control Near a Boundary Crisis
Anno: 2021
Autori: Meucci R., Euzzor S., Ciofini M., Lapucci A., Zambrano S.
Affiliazione autori: 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.
Giornale/Rivista: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume: 68 (7) Da Pagina: 3023 A: 3030
Parole chiavi: Chaos; chaos control; oscillators; nonlinear systems; nonlinear dynamical systems; electronic circuits
DOI: 10.1109/TCSI.2021.3077656
Citazioni: 5
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-06-01
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