A research on adaptive control to stabilize and synchronize a hyperchaotic system with uncertain parameters

An International Journal of Optimization and Control: Theories & Applications

article

Israr Ahmad¹  Azizan Bin Saaban¹  Adyda Binti Ibrahim¹  Said Al-Hadhrami²  Mohammad Shahzad²  Sharifa Hilal Al-Mahrouqi² 

[1] School of Quantitative Sciences, College of Arts & Sciences, UUM;College of Applied Sciences Nizwa, Ministry of Higher Education

关键词: Adaptive control;    chaos stabilization;    synchronization;    Lyapunov stability theory;    hyperchaotic system;   

DOI  :  10.11121/ijocta.01.2015.00238

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

This paper addresses the chaos control and synchronization problems of a hyperchaotic system. It is assumed that the parameters of the hyperchaotic system are unknown and the system is perturbed by the external disturbance. Based on the Lyapunov stability theory and the adaptive control theory, suitable nonlinear controllers are designed for the asymptotic stability of the closed-loop system both for stabilization of hyperchaos at the origin and complete synchronization of two identical hyperchaotic systems. Accordingly, suitable update laws are proposed to estimate the fully uncertain parameters. All simulation results are carried out to validate the effectiveness of the theoretical findings. The effect of external disturbance is under our discussion.

【 授权许可】

CC BY