Controller parameters optimization on a representative set of systems using deterministic-chaotic-mutation evolutionary algorithms

Abstract

The application of Differential Evolution (DE) to the task of PID controller optimization is explored in this chapter. DE is applied in two variants; canonical and chaos mutated. DE canonical version uses a random number generator where as the chaos mutated version uses chaotic maps as the mutation generator. These two variants are applied to three different systems in order to gauge their effectiveness. The results present two main points. The first is the effectiveness of DE over tuning algorithms and other metaheuristics. The second is the competitiveness and effectiveness of embedding chaotic systems in DE.