scholarly journals Hyperchaotic Chameleon: Fractional Order FPGA Implementation

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-16 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Resource Utilization ◽  
Fractional Order ◽  
Field Programmable Gate Array ◽  
Dynamic Properties ◽  
Fpga Implementation ◽  
Hyperchaotic System ◽  
Hidden Attractor ◽  
Hidden Attractors ◽  
Field Programmable ◽  
Fractional Orders

There are many recent investigations on chaotic hidden attractors although hyperchaotic hidden attractor systems and their relationships have been less investigated. In this paper, we introduce a hyperchaotic system which can change between hidden attractor and self-excited attractor depending on the values of parameters. Dynamic properties of these systems are investigated. Fractional order models of these systems are derived and their bifurcation with fractional orders is discussed. Field programmable gate array (FPGA) implementations of the systems with their power and resource utilization are presented.

Analysis, Control and FPGA Implementation of a Fractional-Order Modified Shinriki Circuit

2019 ◽  
Vol 28 (14) ◽  
pp. 1950232 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Fahimeh Nazarimehr ◽  
Laarem Guessas ◽  
Anitha Karthikeyan ◽  
Ashokkumar Srinivasan ◽  
...  
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Dynamic Properties ◽  
Fpga Implementation ◽  
Pid Controllers ◽  
Largest Lyapunov Exponent ◽  
Unknown Parameters ◽  
Integer Order ◽  
Sliding Mode Controllers ◽  
Fractional Orders

In this paper, we introduce a novel integer-order memristor-modified Shinriki circuit (MMSC). We investigate the dynamic properties of the MMSC system and the existence of chaos is proved with positive largest Lyapunov exponent. Bifurcation plots are derived to analyze the parameter dependence of the MMSC system. The fractional-order model of the MMSC system (FOMMSC) is derived and the bifurcation analysis of the FOMMSC system with the fractional orders is carried out. Fractional-order adaptive sliding-mode controllers (FOASMCs) and genetically optimized PID controllers are designed to synchronize identical FOMMSC systems with unknown parameters. Numerical simulations are conducted to validate the theoretical results. FPGA implementation of the FOASMC controllers is presented to show that the proposed control algorithm is hardware realizable. MMSC has trigonometric functions which make the system more complex and the optimization and synchronization of such systems in the integer order itself are harder, so the paper does the same in fractional order. The proposed system is a memristive circuit which can show special features such as multistability, hyperchaos, and multiscroll attractor. Such a system with these features is very rare in the literature.

scholarly journals High speed multi-channel data acquisition technique for efficient hardware utilization using quad data rate approach

2018 ◽  
Vol 7 (4) ◽  
pp. 2569
Author(s):  
Priyanka Chauhan ◽  
Dippal Israni ◽  
Karan Jasani ◽  
Ashwin Makwana
Keyword(s):  
Power Consumption ◽  
Data Acquisition ◽  
Resource Utilization ◽  
Field Programmable Gate Array ◽  
High Speed ◽  
State Of The Art ◽  
Data Rate ◽  
Field Programmable ◽  
Sensor Signals ◽  
Acquisition Technique

Data acquisition is the most demanding application for the acquisition and monitoring of various sensor signals. The data received are processed in real-time environment. This paper proposes a novel Data Acquisition (DAQ) technique for better resource utilization with less power consumption. Present work has designed and compared advanced Quad Data Rate (QDR) technique with traditional Dual Data Rate (DDR) technique in terms of resource utilization and power consumption of Field Programmable Gate Array (FPGA) hardware. Xilinx ISE is used to verify results of FPGA resource utilization by QDR with state of the art DDR approach. The paper ratiocinates that QDR technique outperforms traditional DDR technique in terms of FPGA resource utilization.  

Hidden Extreme Multistability, Antimonotonicity and Offset Boosting Control in a Novel Fractional-Order Hyperchaotic System Without Equilibrium

2018 ◽  
Vol 28 (13) ◽  
pp. 1850167 ◽  
Author(s):  
Sen Zhang ◽  
Yicheng Zeng ◽  
Zhijun Li ◽  
Chengyi Zhou
Keyword(s):  
Fractional Order ◽  
Initial Conditions ◽  
State Feedback Control ◽  
Hyperchaotic System ◽  
Hidden Attractors ◽  
System Parameters ◽  
Offset Boosting ◽  
Extreme Multistability ◽  
Hidden Extreme Multistability ◽  
New System

Recently, the notion of hidden extreme multistability and hidden attractors is very attractive in chaos theory and nonlinear dynamics. In this paper, by utilizing a simple state feedback control technique, a novel 4D fractional-order hyperchaotic system is introduced. Of particular interest is that this new system has no equilibrium, which indicates that its attractors are all hidden and thus Shil’nikov method cannot be applied to prove the existence of chaos for lacking hetero-clinic or homo-clinic orbits. Compared with other fractional-order chaotic or hyperchaotic systems, this new system possesses three unique and remarkable features: (i) The amazing and interesting phenomenon of the coexistence of infinitely many hidden attractors with respect to same system parameters and different initial conditions is observed, meaning that hidden extreme multistability arises. (ii) By varying the initial conditions and selecting appropriate system parameters, the striking phenomenon of antimonotonicity is first discovered, especially in such a fractional-order hyperchaotic system without equilibrium. (iii) An attractive special feature of the convenience of offset boosting control of the system is also revealed. The complex and rich hidden dynamic behaviors of this system are investigated by using conventional nonlinear analysis tools, including equilibrium stability, phase portraits, bifurcation diagram, Lyapunov exponents, spectral entropy complexity, and so on. Furthermore, a hardware electronic circuit is designed and implemented. The hardware experimental results and the numerical simulations of the same system on the Matlab platform are well consistent with each other, which demonstrates the feasibility of this new fractional-order hyperchaotic system.

scholarly journals Novel Binary Signed-Digit Addition Algorithm for FPGA Implementation

2019 ◽  
Vol 29 (09) ◽  
pp. 2050136
Author(s):  
Yuuki Tanaka ◽  
Yuuki Suzuki ◽  
Shugang Wei
Keyword(s):  
Field Programmable Gate Array ◽  
High Speed ◽  
Number System ◽  
Logic Circuit ◽  
Fpga Implementation ◽  
Number Representation ◽  
Representation System ◽  
Representation Systems ◽  
Field Programmable ◽  
Gate Array

Signed-digit (SD) number representation systems have been studied for high-speed arithmetic. One important property of the SD number system is the possibility of performing addition without long carry chain. However, many numbers of logic elements are required when the number representation system and such an adder are realized on a logic circuit. In this study, we propose a new adder on the binary SD number system. The proposed adder uses more circuit area than the conventional SD adders when those adders are realized on ASIC. However, the proposed adder uses 20% less number of logic elements than the conventional SD adder when those adders are realized on a field-programmable gate array (FPGA) which is made up of 4-input 1-output LUT such as Intel Cyclone IV FPGA.

Memristor Oscillators and its FPGA Implementation

2011 ◽  
Vol 383-390 ◽  
pp. 6992-6997 ◽  
Author(s):  
Ai Xue Qi ◽  
Cheng Liang Zhang ◽  
Guang Yi Wang
Keyword(s):  
Numerical Simulation ◽  
Chaotic System ◽  
Field Programmable Gate Array ◽  
Chaotic Attractor ◽  
Hardware Implementation ◽  
Fpga Implementation ◽  
Experimental Results ◽  
Linear Resistance ◽  
Non Linear ◽  
Field Programmable

This paper presents a method that utilizes a memristor to replace the non-linear resistance of typical Chua’s circuit for constructing a chaotic system. The improved circuit is numerically simulated in the MATLAB condition, and its hardware implementation is designed using field programmable gate array (FPGA). Comparing the experimental results with the numerical simulation, the two are the very same, and be able to generate chaotic attractor.

scholarly journals Localization of Hidden Attractors in Chua’s System With Absolute Nonlinearity and Its FPGA Implementation

2021 ◽  
Vol 9 ◽  
Author(s):  
Xianming Wu ◽  
Huihai Wang ◽  
Shaobo He
Keyword(s):  
Basin Of Attraction ◽  
Digital Circuit ◽  
Fpga Implementation ◽  
Chaotic Attractors ◽  
Chua’S Circuit ◽  
Hidden Attractor ◽  
Hidden Attractors ◽  
Chua's Circuit ◽  
The Mathematical Model ◽  
The Basin Of Attraction

Investigation of the classical self-excited and hidden attractors in the modified Chua’s circuit is a hot and interesting topic. In this article, a novel Chua’s circuit system with an absolute item is investigated. According to the mathematical model, dynamic characteristics are analyzed, including symmetry, equilibrium stability analysis, Hopf bifurcation analysis, Lyapunov exponents, bifurcation diagram, and the basin of attraction. The hidden attractors are located theoretically. Then, the coexistence of the hidden limit cycle and self-excited chaotic attractors are observed numerically and experimentally. The numerical simulation results are consistent with the FPGA implementation results. It shows that the hidden attractor can be localized in the digital circuit.

scholarly journals Analysis of Existing and Proposed 3-Bit and Multi-Bit Multiplier Algorithms for FIR Filters and Adaptive Channel Equalizers on FPGA

2021 ◽  
Vol 19 (1) ◽  
pp. 81-89
Author(s):  
Aneela Pathan ◽  
Tayab D. Memon ◽  
Fareesa K. Sohu ◽  
Muhammad A. Rajput
Keyword(s):  
Resource Utilization ◽  
Field Programmable Gate Array ◽  
Lms Algorithm ◽  
Fir Filters ◽  
Partial Product ◽  
Small Length ◽  
Booth Multiplier ◽  
Field Programmable ◽  
Dsp Systems ◽  
Pipelined Multiplier

Different multiplication algorithms have different performance characteristics. Some are good at speed while others consume less area when implemented on hardware, like Field Programmable Gate Array (FPGA)-the advanced implementation technology for DSP systems. The eminent parallel and sequential multiplication algorithms include Shift and Add, Wallace Tree, Booth, and Array. The multiplier optimization attempts have also been reported in adders used for partial product addition. In this paper, analogous to conventional multipliers, two new multiplication algorithms implemented on FPGA are shown and compared with conventional algorithms as stand-alone and by using them in the implementation of FIR filters and adaptive channel equalizer using the LMS algorithm. The work is carried out on Spartan-6 FPG that may be extended for any type of FPGA. Results are compared in terms of resource utilization, power consumption, and maximum achieved frequency. The results show that for a small length of coefficients like 3-bit, the proposed algorithms work very well in terms of achieved frequency, consumed power, and even resource utilization. Whilst for the length greater than 3-bit, the Pipelined multiplier is much better in frequency than the proposed and conventional ones, and the Booth multiplier consumes fewer resources in terms of lookup tables.

FPGA Implementation of a Soft Sensor for the Estimation of the Freezing Point of Kerosene

2009 ◽  
Author(s):  
Riccardo Caponetto ◽  
Giovanni Dongola ◽  
Antonio Gallo ◽  
Maria Gabriella Xibilia
Keyword(s):  
Neural Networks ◽  
Field Programmable Gate Array ◽  
Freezing Point ◽  
Industrial Process ◽  
Soft Sensor ◽  
Fpga Implementation ◽  
Distillation Unit ◽  
Atmospheric Distillation ◽  
New Strategy ◽  
Field Programmable

A new strategy to realize an FPGA implementation of a soft sensor for an industrial process is proposed. The proposed approach is based on the integration on Field Programmable Gate Array (FPGA) of a neural networks. The proposed method has been applied to develop a soft sensor for the estimation of the freezing point of kerosene in an atmospheric distillation unit (topping) working in a refinery in Sicily, Italy.

scholarly journals Generating Multidirectional Variable Hidden Attractors via Newly Commensurate and Incommensurate Non-Equilibrium Fractional-Order Chaotic Systems

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 261
Author(s):  
Nadjette Debbouche ◽  
Shaher Momani ◽  
Adel Ouannas ◽  
’Mohd Taib’ Shatnawi ◽  
Giuseppe Grassi ◽  
...  
Keyword(s):  
Fractional Order ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Phase Portraits ◽  
Hidden Attractors ◽  
Signum Function ◽  
Parameter Values ◽  
Fractional Orders ◽  
Non Equilibrium

This article investigates a non-equilibrium chaotic system in view of commensurate and incommensurate fractional orders and with only one signum function. By varying some values of the fractional-order derivative together with some parameter values of the proposed system, different dynamical behaviors of the system are explored and discussed via several numerical simulations. This system displays complex hidden dynamics such as inversion property, chaotic bursting oscillation, multistabilty, and coexisting attractors. Besides, by means of adapting certain controlled constants, it is shown that this system possesses a three-variable offset boosting system. In conformity with the performed simulations, it also turns out that the resultant hidden attractors can be distributively ordered in a grid of three dimensions, a lattice of two dimensions, a line of one dimension, and even arbitrariness in the phase space. Through considering the Caputo fractional-order operator in all performed simulations, phase portraits in two- and three-dimensional projections, Lyapunov exponents, and the bifurcation diagrams are numerically reported in this work as beneficial exit results.

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