Control of Memristor-Based Simplest Chaotic Circuit with One-State Controllers


KIZMAZ H., KOCAMAZ U. E. , UYAROĞLU Y.

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, vol.28, no.1, 2019 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1142/s0218126619500075
  • Journal Name: JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Keywords: Chaotic memristor, linear feedback control, sliding mode control, Lyapunov-based nonlinear control, chaos control, single state controller, SLIDING-MODE CONTROL, FEEDBACK-CONTROL, NONLINEAR CONTROL, SYSTEMS, SYNCHRONIZATION, UNCERTAINTIES, OSCILLATOR

Abstract

This paper deals with the control of the memristor-based simplest chaotic circuit by means of only one-state controller. Three distinct control techniques, namely linear feedback control, sliding mode control, and nonlinear control, are examined for the control. Routh-Hurwitz stability criteria are used for constructing the linear feedback and sliding mode gains. Lyapunov function is used for ensuring the global asymptotic stability of the system with the nonlinear controller. Numerical simulations are demonstrated not only to validate the theoretical analyses, but also to compare the control results. They have shown that even if one-state controller is used, all the methods are effective for controlling the memristor-based simplest chaotic circuit. However, the control is observed in a better time period with the sliding mode controller.