基于AHP/PROMETHEE法的多目标PID优化设计

For the problem how to choose the solution from the Pareto optimal solution set which obtained by optimize the PID controller parameters based on multi-objective optimization method to meet the requirement of the decision maker, a new method to multi-attribute decision analysis through combined with both the advantages of analytic hierarchy process and Preference Ranking Organization Methods for Enrichment Evaluation was proposed. In the first stage ,set the system overshoot, settling time and ITAE index as the optimization objectives, and a fast non-dominating sorting genetic algorithm II (NSGA II) was employed to approximate the set of Paretosolution through an evolutionary optimization. In the subsequent stage, a multi-attribute decision making (MADM) approach was adopted to rank these solutions from best to worst in order to determine the best solution in a deterministic environment with a single decision maker. The ranking of Pareto solution is based on the weight obtained by AHP and PROMETHEE method. The simulation results show that the validity and applicability of this design method.