Control of a new Chaotic System via Generalized Backstepping Method and Choice of Optimal Controller Mode Based on Electromagnetic Like Algorithm

In this article, a new chaotic system was chosen as a chaotic system. One of the best control methods that would be used for the stabilization of these 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 new chaotic system equation. The generalized Backstepping approach consists of parameters, which accept positive values. The system replied differently for each value. Electromagnetic-like algorithms can select suitable and optimal values for the parameters. EA by minimizing the fitness function can find the optimal values for the parameters. Fitness function forces the system error to decay to zero rapidly that which causes the system to have a short and optimal setting time. Fitness function also makes an optimal controller and causes overshoot to reach its minimum value. This hybrid makes an optimal backstepping controller.

Keywords:

System , Lyapunov , generalized backstepping method , electromagnetic-like algorithm