Control and Synchronization of Chaotic and Hyperchaotic Lorenz Systems via Extended Backstepping Techniques
Author(s) -
O. S. Onma,
O. I. Olusola,
A. N. Njah
Publication year - 2014
Publication title -
journal of nonlinear dynamics
Language(s) - English
Resource type - Journals
eISSN - 2356-7503
pISSN - 2314-6893
DOI - 10.1155/2014/861727
Subject(s) - backstepping , control theory (sociology) , lorenz system , robustness (evolution) , chaotic , chaotic systems , synchronization (alternating current) , synchronization of chaos , computer science , noise (video) , mathematics , control (management) , adaptive control , artificial intelligence , image (mathematics) , computer network , biochemistry , chemistry , channel (broadcasting) , gene
We propose novel controllers for stabilization and tracking of chaotic and hyperchaotic Lorenz systems using extended backstepping techniques. Based on the proposed approach, generalized weighted controllers were designed to control chaotic behaviour as well as to achieve synchronization in chaotic and hyperchaotic Lorenz systems. The effectiveness and feasibility of the proposed weighted controllers were verified numerically and showed their robustness against noise
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