Active Realization of Fractional-Order Integrators and Their Application in Multiscroll Chaotic Systems | Zendy

Jesús M. MuñozPacheco | Zendy; Luis Carlos Lujano-Hernández | Zendy; Carlos Muñiz-Montero | Zendy; Akif Akgül | Zendy; Luis A. SánchezGaspariano | Zendy; Chunbiao Li | Zendy; Mustafa Kutlu | Zendy

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Active Realization of Fractional-Order Integrators and Their Application in Multiscroll Chaotic Systems

Author(s) -

Jesús M. MuñozPacheco,

Luis Carlos Lujano-Hernández,

Carlos Muñiz-Montero,

Akif Akgül,

Luis A. SánchezGaspariano,

Chunbiao Li,

Mustafa Kutlu

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/6623855

Subject(s) - realization (probability) , integrator , chaotic , resistor , spice , control theory (sociology) , computer science , nonlinear system , electronic circuit , exponential function , capacitor , electronic engineering , mathematics , physics , engineering , voltage , mathematical analysis , electrical engineering , telecommunications , statistics , control (management) , bandwidth (computing) , quantum mechanics , artificial intelligence

This paper presents the design, simulation, and experimental verification of the fractional-order multiscroll Lü chaotic system. We base them on op-amp-based approximations of fractional-order integrators and saturated series of nonlinear functions. The integrators are first-order active realizations tuned to reduce the inaccuracy of the frequency response. By an exponential curve fitting, we got a convenient design equation for realizing fractional-order integrators of orders from 0.1 to 0.95. The results include simulations in SPICE of the mathematical description and the electronic implementation and experimental measurements that confirm them. Monte Carlo and sensitivity tests revealed a robust realization. Contrary to its passive counterparts, the suggested realizations significantly reduce design and implementation efforts by favoring resistors and capacitors with commercial values and reducing hardware requirements.

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