Generalization Backstepping Method Based Control Lu Chaotic System Using Adaptive Neuro-Fuzzy Inference System

摘要

In this article, first famous chaotic system, Lu equation, was choiced as chaotic system. One of the best control methods that would be used for stabilization this systems, was Backstepping. In this article this technique is improved to Generalized Backstepping Method (GBM). For this new method, exhibit a new theorem and its proof and for showing its abilities, control Lu equation. Generalized Backstepping approach consists of parameters which accept positive values. The system replied differently for each value. it is necessary to select proper parameters to obtain a good response because the improper selection of the parameters lead to inappropriate responses or even may lead to instability of system. This paper introduce adaptive neuro fuzzy control method which trained by different error data to achieve optimal parameters. So with optimal parameters controller can stabilize the chaos in much quicker than backstepping method.