Chaos control of an atomic force microscopy model in fractional-order

Autor: Mauricio A. Ribeiro, Wagner B. Lenz, José Manoel Balthazar, Rodrigo Tumolin Rocha, Angelo Marcelo Tusset
Přispěvatelé: Paraná, Universidade Estadual Paulista (UNESP)
Rok vydání: 2021
Předmět:
Zdroj: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
ISSN: 1951-6401
1951-6355
DOI: 10.1140/epjs/s11734-021-00242-6
Popis: Made available in DSpace on 2022-04-28T19:42:06Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-01-01 In this work, the nonlinear dynamics and control of an atomic force microscopy (AFM) in fractional-order are investigated. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space, whose behavior is characterized using the power spectral density and the 0-1 test. To bring the system from a chaotic state to a periodic one, the nonlinear saturation control (NLSC) and the time-delayed feedback control (TDFC) techniques for the fractional-order systems are applied with and without accounting for the fractional-order. Numerical results show the influence of fractional-order derivative on the dynamics of the AFM system. Due to that, some phenomena arise, which are confirmed through detailed numerical investigations by the 0-1 test. The NLSC and TDFC techniques showed to be efficient in controlling the chaotic behavior of the AFM in fractional-order. UTFPR Federal University of Technology Paraná UNESP Universidade Estadual Paulista Júlio Mesquita UNESP Universidade Estadual Paulista Júlio Mesquita
Databáze: OpenAIRE
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