A new auto-switched chaotic system and its FPGA implementation

Azzaz, Mohamed Salah; Tanougast, Camel; Sadoudi, Saïd; Fellah, Rabiai; Dandache, Abbas

doi:10.1016/j.cnsns.2012.11.025

Cited by 83 publications

(30 citation statements)

References 33 publications

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“…C haotic systems are very complex nonlinear systems where their responses display some particular features such as excessive sensitivity to the initial situations, comprehensive Fourier transform spectrums, and irregular behaviors of the motion in phase space [1][2][3][4]. The chaos concept is very beneficial in analyzing fundamental problems such as collapse prevention of power systems [5], chemical processing [6], information processing [7], secure communication [8], centrifugal flywheel governor [9], biolog-ical engineering [10], rotating mechanical systems [11], highperformance circuits and devices [12], and so forth. In the past few years, the stabilization and tracking control of chaotic systems have been paid much attention [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach

Mobayen

2014

Complexity

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This article investigates the sliding mode control method for a class of chaotic systems with matched and unmatched uncertain parameters. The proposed reaching law is established to guarantee the existence of the sliding mode around the sliding surface in a finite-time. Based on the Lyapunov stability theory, the conditions on the state error bound are expressed in the form of linear matrix inequalities. Simulation results for the well-known Genesio's chaotic system are provided to illustrate the effectiveness of the proposed scheme.

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Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach

Mobayen

2014

Complexity

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“…Çünkü kaotik sistemlerde parametre değişimlerine göre farklı modda işaret üretilebilmesi ve ilgili kaotik sistemin farklı doğrusal olmayan fonksiyonlarla alternatifli olarak gerçekleştirilmesi söz konusu olup bu özelliklere sahip kaotik devre modelleri programlanabilir ve yeniden yapılandırılabilir bir şekilde esnek ve donanım karmaşası olmadan kolay bir şekilde tasarlanabilirler. Kaotik osilatörlerin sayısal FPGA tabanlı modellenmesine yönelik çalışmalara literatürde oldukça fazla önem verilmektedir [11][12][13][14][15].…”

Section: Introductionunclassified

Real time hardware implementation of the 3D chaotic oscillator which having golden-section equilibra

Tuna

Fidan

Koyuncu

et al. 2016

2016 24th Signal Processing and Communication Application Conference (SIU)

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Özetçe-Bu çalışmada, son yıllarda literatüre sunulan altın oran denge noktalarına sahip, sürekli zamanlı, otonom, üç boyutlu bir kaotik sistem, FPGA üzerinde ilk defa ayrık zamanlı olarak gerçeklenmiştir. Yapılan tasarımda, üç boyutlu kaotik sistem, 32 bit IQ-Math (16I-16Q) sabit noktalı sayı formatında, Heun algoritması kullanılarak VHDL dilinde kodlanmıştır. Tasarlanan sistem Xilinx ISE tasarım aracı kullanılarak Virtex-6 FPGA çipinde sentezlenmiş ve test edilmiştir. Test sonuçlarına göre FPGA-tabanlı yeni kaotik işaret üretecinin çalışma frekansı 406.736 MHz olarak belirlenmiştir. Ayrıca yeni kaotik osilatörün, Xilinx ISE tasarım aracı üzerinde yapılan "Route&Place" işleminin ardından, elde edilen çip istatistikleri ve performans sonuçları sunulmuştur. FPGA üzerinde sabit noktalı sayı formatıyla gerçekleştirilen kaotik osilatör tasarımının, kayan noktalı sayı standardına göre daha az çip donanımı kullandığı ve çalışma frekansının daha yüksek olduğu gösterilmiştir. Anahtar Kelimeler-Kaos;Kaotik sistem; FPGA; VHDL.Abstract-In this study, the continuous-time, autonomous, 3D chaotic system having golden-section equilibra which is recently presented in the literature is implemented firstly as discrete time on an FPGA. In this design, the 3D chaotic system was programmed in 32-bit IQ-Math (16I-16Q) fixed-point number format using VHDL and Heun algorithm. The designed system has been synthesized and tested, using Xilinx ISE design tool, on Virtex-6 FPGA chip. According to the test results, operation frequency of the FPGA-based new chaotic signal generator is certain as 406.736MHz. In addition, chip statistics and performance results of the new chaotic oscillator are presented after the "Route&Place" processes performed on Xilinx ISE design tool. The chaotic oscillator design realized with fixed-point number format on FPGA has been shown to be use lesser chip hardware and higher operating frequency compared to the floating-point standard.

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“…Compared with the numerical investigation reported in [Rabinovich & Fabrikant(1979)], the studies in [Danca & Chen(2004)] (and also in [Luo et al(2007)]), revealed some new interesting aspects. Since then, the interest in this system, has continuously increased, partially following the direction of [Danca & Chen(2004)] (see [Chairez(2014), Azzaz et al(2013), Serrano-Guerrero et al(2013), Motsa et al(2012), Zhang et al(2011), Srivastava et al(2014), Umoh & Edwin(2013), Agrawal et al(2012)], utilizing some computer software such as Matlab Central [Moysis(2014)] or Wolfram [Craven(1011)]).…”

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confidence: 99%

Looking More Closely at the Rabinovich–Fabrikant System

Danca

Fečkan

Kuznetsov

et al. 2016

Int. J. Bifurcation Chaos

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Recently, we look more closely into the Rabinovich-Fabrikant system, after a decade of the study in [Danca & Chen(2004)], discovering some new characteristics such as cycling chaos, transient chaos, chaotic hidden attractors and a new kind of saddles-like attractor. In addition to extensive and accurate numerical analysis, on the assumptive existence of heteroclinic orbits, we provide a few of their approximations.

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A new auto-switched chaotic system and its FPGA implementation

Cited by 83 publications

References 33 publications

Finite‐time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach

Finite‐time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach

Real time hardware implementation of the 3D chaotic oscillator which having golden-section equilibra

Looking More Closely at the Rabinovich–Fabrikant System

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