Generalization Backstepping Method based stabilization of parameters perturbation Chen chaos using Adaptive Neuro-Fuzzy Inference System

This study deals with the control of chaos using Generalized Backstepping Method. This new method to control nonlinear systems was called Generalized Backstepping method because of its similarity to Backstepping but its abilities to control more systems than Backstepping. The General Backstepping Method could achieve better performance than Backtepping Method in respect of lower signal control, short settling time and overshoot, control ability of MIMO systems and non strict feedback systems. The Generalized Backstepping approach consists of parameters which accept positive values. The parameters are usually chosen optional. The system responded differently for each value. This paper introduce a novel adaptive neuro fuzzy control method which trained by different error data to achieve optimal parameters. Hence with optimal parameters controller can stabilize the Chen chaos in much quicker than general backstepping method.