Chaos driven evolutionary algorithms for the task of PID control

Chaos driven Differential Evolution algorithm and Self-Organizing Migrating Algorithm are presented in this paper for the task of PID (Proportional–Integral–Derivative) controller optimization. The dissipative chaotic Lozi map is embedded as a number generator inside DE and SOMA in order to avoid local optima stagnation and embed a superior search strategy. Three unique PID controller problems are presented and successfully resolved using these new approaches. The obtained results compare favorably with published results.