Implementation of a memristor-based 4D chaotic oscillator and its nonlinear control

Gokyildirim A., YEŞİL A., BABACAN Y.

ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING, vol.110, no.1, pp.91-104, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 110 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1007/s10470-021-01956-2
  • Journal Name: ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.91-104
  • Keywords: Chaotic circuit, Memristor emulator, Nonlinear control, Lyapunov stability method, Bifurcation diagram, SYNCHRONIZATION, SYSTEM, CIRCUIT, ATTRACTOR, EMULATOR, DYNAMICS, DESIGN
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

In this study, an electronic model of a memristive-based 4D autonomous chaotic system with a line equilibrium is proposed. A memristor offers many advantages because of its superior properties for improving different circuits, e.g., chaotic circuits and systems. In particular, its nonlinearity and nonvolatile behavior provide a unique opportunity to design chaotic circuits. Therefore, we designed a flux-controlled memristor-based 4D autonomous chaotic system having a line equilibrium. The fundamental dynamical properties of the system are demonstrated with regards to equilibrium, Jacobian matrices, Lyapunov exponents, and bifurcation behavior. A nonlinear controller based on the Lyapunov stability method was also designed to control the novel system. Furthermore, it is controlled by only one state controller. As was expected, both theoretical and simulation results of the 4D chaotic oscillator were in good agreement with the experimental results.