Dynamic Analysis of a Snap Oscillator Based on a Unique Diode Nonlinearity Effect, Offset Boosting Control and Sliding Mode Control Design for Global Chaos Synchronization

Journal of control, automation and electrical systems

article

Tchinda, S. F. Takougang¹  Mpame, G.²  Takougang, A. C. Nzeukou²  Tamba, V. Kamdoum¹ 

[1] Department of Physics, University of Dschang;Department of Electrical Engineering, University of Dschang;Department of Telecommunication and Network Engineering, University of Dschang

关键词: Snap oscillator;    Asymmetric coexisting attractors;    Offset boosting;    Circuit realization;    Sliding mode control;    Chaos synchronization;   

DOI  :  10.1007/s40313-019-00518-2

学科分类：自动化工程

来源: Springer

【 摘 要 】

This paper focuses on the behavior of a specific class of oscillator (snap) under a unique diode effect by checking the complex dynamic of the proposed oscillator. From linear and nonlinear analysis methods, the numerical integration of the system such as, fixed-point and stability analysis, bifurcation diagrams, Kaplan–Yorke dimension, Lyapunov exponent spectrum, frequency spectra, Poincaré section and cross section of basins of attraction reveals that oscillator is chaotic and the chaotic robustness of the system depends on parameters changing. To the best knowledge of the authors, the system is the simplest in its category but the study revealed some interesting phenomena: asymmetric coexisting attractors, antimonotonicity phenomenon and even period-doubling bifurcation. These phenomena confer oscillating the quality of multistable or resistance to attacks in engineering application of data encryption. Furthermore, an offset boosting operation of a variable is used to control attractors and a robust sliding mode control for control engineering application of the system is designed to achieve global chaos synchronization based on Lyapunov stability theory. An appropriate electronic circuit or analog simulator is designed; PSpice simulations demonstrate feasible the proposed snap.

【 授权许可】

CC BY