Optimization of Fuzzy Systems Through Metaheuristics in Control Systems

Although there are modern computational methods that we can use to solve minimum or maximum problems in different areas, it is good to use classical or semi-there are various types of membership functions. This depends on the problem to be treated. The most used are triangular, trapezoidal, Gaussian among others. For this particular case within this writing we will use the triangular and Gaussian ones. As it is already known through optimization we can come up with the best solution for a particular problem. Since this does not work for all cases in general. For this reason, we will be using in this work Differential Evolution Algorithm (DEA) to optimize a fuzzy system, for the application of this in control as a inverted pendulum system. Similarly, the proposed methodology for optimizing the system is analyzed and explained.