Analytic programming in the task of evolutionary synthesis of a controller for high order oscillations stabilization of discrete chaotic systems
This paper deals with the utilization of a symbolic regression tool, which is Analytic Programming (AP), together with two evolutionary algorithms, the Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE), for the synthesis of a new control law. This synthesized chaotic controller secures the stabilization of higher periodic orbits, which represent oscillations between several values of three selected discrete chaotic systems. Selected examples were: an artificially evolutionary synthesized system, logistic equation and Hnon map. The paper consists of the description of analytic programming as well as chaotic systems used, evolutionary techniques and the cost function.
analytic programming symbolic regression soma differential evolution chaos control