A Nonlinear System Stable Control Design by Firefly Algorithm and Extreme Learning Machine

In this paper, we introduce a novel iterative method for finding a series of fixed point and design a steady controllability approach for nonlinear systems by using Firefly algorithm and ELM. First, we construct a fixed-point search model, but it is just only looking for a fixed point. Because of the need of non-linear dynamic systems, we need to find a series of fixed point under certain circumstances. Then, we apply the Firefly Algorithm and ELM to design a steady controllability approach. Finally, we have an example to verify the method we have proposed. Through the method, we get a series of fixed point, which make dynamic Nonlinear Systems or nonlinear circuit is under a relatively stable state.