基于遗传算法的数字PID抗饱和设计

Design Method of PID under Different Output Contraints with Genetic Algorithm

提出了一种新的带各种约束条件的数字PID设计法。以误差积分型指标为目标函数,以Ziegler-Nichols法的PID参数为参考,设定参数搜索空间,再添加各种约束条件,形成PID参数优化数学模型,最后采用了带微变异算子的遗传算法求解该模型,获得PID优化参数。数值实践表明,本方法简易、有效,十分适合于工程应用。

A new design method of PID under diffe rent output constraints is put forwa rd in this paper.Firstly the error in-tegral criterion is used as objectiv e function.Secondly the parameter r anges are settled through extending the solu-tion of Ziegler -Nichols method.At l ast the specific constraints are added in,the mathematical model for parameter optimization is built.The model solver is a new genetic algorithm with ti ny mutation operator.The numerical ex-periment shows that this method is ea sy ,practical and effective.