基于Pareto最优的PID多目标优化设计

现有的PID优化方法往往难以同时兼顾系统对时域和频域性能的要求，针对这一缺陷,提出了一种PID多目标优化方法：将动态性能指标作为优化目标，频域性能指标作为约束条件，采用基于Pareto最优的多目标优化算法对其求解。该算法采用新的拥挤距离计算方法，引入双重精英机制，进化效率高，得到的Pareto最优解集多样性好，决策者可根据当前工作需求从中选择最终的满意解。仿真结果证明了本文方法的有效性。

PID Multi-objective Optimization Design Based on Pareto Optimality

The current PID optimization methods are often difficult to consider the both system requirement for time and frequency domain performance. To solve this p roblem, a PID multi-objective optimization design method is proposed: minimum dynamic performances are taken as the optimization objectives, frequency domain performances are used as constraints. Then a multi-objective optimization algorithm based on pareto optimality is applied to the optimal design.The algorithm employed a new calculation method of crowding distance and double elitism mechanisms, which improved the efficiency of the evolution and more effectively increased the diversity of the Pareto-optimal solutions. And the satisfactory solution is selected in Pareto-optimal solutions according to the requirements of the present system.Simulation results indicate the effectiveness of the proposed algorithm.