基于最优Oustaloup的分数阶PID参数整定

目前工程控制中大部分系统采用传统PID控制,由于分数阶PID继承了传统PID的优点,并且具有更好的控制品质及更强的鲁棒性,因此针对分数阶微积分的高精度数字实现及分数阶PID控制器在工程复杂系统中的实际应用,提出一种新的分数阶微积分高精度数字实现算法-最优Oustaloup数字实现,并建立控制系统的仿真模型,利用框图式模型结合最优ITAE性能指标来整定分数阶PID的参数。通过实例仿真验证,该方法能进一步优化控制器参数,提高控制精度及获得更好的控制效果,便于非线性系统及复杂系统的分数阶PID参数整定。

Tuning of Fractional PID Controllers Based on Optimal Oustaloup

The majority of current engineering control systems use the traditional PID controller,as the fractional order PID inherites the advantages of the traditional PID,and has better control quality and greater robustness,so for high-precision digital implementation of fractional calculus and fractional-order PID controllers practical application in complex systems of engineering.A new high-precision fractional calculus digital realization algorithm-the optimal Oustaloup digital realization was proposed,through establishs control system simulation model,uses diagram-type model combined with the optimal ITAE performance index to design fractional PID parameters,through simulation examples,the method can further optimize the controller parameters to improve control precision and control effect,it facilitate fractional order PID parameter design of non-linear systems and complex systems.