Comparison of PSO and de in the task of optimal control of chaotic Lozi map

Abstract

In this paper, evolutionary algorithm Differential Evolution (DE) is compared with swarm based technique PSO in the task of optimal evolutionary tuning of controller parameters for the stabilization of selected discrete chaotic system, which is the two-dimensional Lozi map. The novelty of the approach is that the most utilized examples of evolutionary/swarm based algorithms are compared directly on the highly nonlinear and complex multimodal optimization and simulation task. The simulations were performed for three different required final behavior of the chaotic system.