FPGA implementation of two fractional order chaotic systems

Tolba, Mohamed F.; AbdelAty, Amr M.; Soliman, Nancy S.; Said, Lobna A.; Madian, Ahmed H.; Azar, Ahmad Taher; Radwan, Ahmed G.

doi:10.1016/j.aeue.2017.04.028

Cited by 167 publications

(51 citation statements)

References 30 publications

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“…A CFE Tustin approximation based FPGA implementation of various fractional order chaotic systems has been proposed in [48]. Grünwald-Letnikov (GL) differ-integral based fractional order analysis of chaotic system with its FPGA implementation is discussed in [49].…”

Section: Field Programmable Gate Array (Fpga) Implementation Of Fosrcmentioning

confidence: 99%

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Rajagopal

Jafari

Kaçar

et al. 2019

ITC

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Chaos is often observed in forced nonlinear electrical circuits with saturable reactors. Simplest of such a circuit is presented and investigated in both integer order and non-integer (fractional) order form. For numerical analysis of fractional order system, the Adam-Bashforth-Moulton method is used. Some dynamic properties of the novel system are investigated. For implementing the system in field programmable gate arrays (FPGA), the Adomian decomposition method is used. Power and resource utilization of the fractional order system for implementing in FPGA are presented. Also, in this work, a novel fractional based sound encryption application is implemented as a unique application.

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Section: Field Programmable Gate Array (Fpga) Implementation Of Fosrcmentioning

confidence: 99%

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Rajagopal

Jafari

Kaçar

et al. 2019

ITC

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“…As can be seen in the literatures, the Caputo method has been widely used for numerical solutions of the fractionalorder systems. But the GL method has benefits over the other methods of solving fractional orders due to the smoothness of the resultant approximations [40]. Hence, we use the GL method to derive the FOPCC.…”

Section: Fractional-order Phase Converter Circuit (Fopcc)mentioning

confidence: 99%

“…In order to simulate system (9) using the GL method, we use the discretization method discussed [40]:…”

Section: Fractional-order Phase Converter Circuit (Fopcc)mentioning

confidence: 99%

No Chattering and Adaptive Sliding Mode Control of a Fractional‐Order Phase Converter with Disturbances and Parameter Uncertainties

et al. 2018

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Discussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits, none of them have reported the hazardous phenomenon of multistability. In this paper, we derive the fractional-order model of a phase converter circuit and investigate its dynamics. Bifurcation of the system with the parameters and fractional order are investigated. A forward and backward continuation scheme is adopted to display various coexisting attractors; the property of multistability is also discussed. Using forward and backward continuation, various coexisting attractors and the property of multistability are discussed. Two different sliding mode controllers for controlling chaotic oscillations with model disturbances and parameter uncertainties are derived, and the effectiveness of the controllers is discussed with numerical simulations.

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“…In China, digital recognition started in the 1980s, and after years of development, there have been many methods and means of digital identification, which can be broadly divided into two categories, namely, the statistical analysis based on the overall situation and the structure-based feature analysis [7]. The statistical analysis based on the overall situation is to recognize different digits through using template matching, pixel density, feature points and mathematical manipulation; the structure-based feature analysis is to identify different digits mainly from the outline of the digits and the character shape, including circle, endpoint, arc, horizontal length,etc.…”

Section: Introductionmentioning

confidence: 99%

Design of FPGA-based Handwriting Image Recognition System

Wang¹,

Yang²,

Xu³

et al. 2017

AMA_B

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This paper designs a program to realize the handwriting image recognition algorithm using FPGA. The digital character recognition system designed in this paper is composed of software design and hardware design. In terms of software, the character processing is divided into image denoising, image binaryzation, grey processing and refinement treatment. Each process algorithm is developed with Matlab. By virtue of its powerful image processing function, the algorithm is simulated. By transforming the DBN into large data volume matrix operations and combining the implementability of FPGA, each link of the identification algorithm is determined. The program mainly uses Altera Cyclone IV chip and several calculation cores connected by DBN are realized through hardware programming. The hardware implementation of the module function and algorithm is verified through Modelsim simulation of each module.

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FPGA implementation of two fractional order chaotic systems

Cited by 167 publications

References 30 publications

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

No Chattering and Adaptive Sliding Mode Control of a Fractional‐Order Phase Converter with Disturbances and Parameter Uncertainties

Design of FPGA-based Handwriting Image Recognition System

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