基于遗传算法的分数阶控制器参数整定研究  

Fractional-order Controller Tuning Based on Genetic Algorithm

作　　者：李大字[1] 刘展[1] 靳其兵[1] 曹柳林[1] 

机构地区：[1]北京化工大学自动化研究所,北京100029

出　　处：《控制工程》2006年第4期384-387,共4页Control Engineering of China

基　　金：北京市教育委员会共建项目建设计划资助项目(xk100100435);教育部留学回国人员科研启动基金资助项目

摘　　要：针对动态系统可用包含非整数阶的积分和微分方程来描述的特点,同样将这一工具引入到分数阶控制器中,即包含分数阶积分和微分的PIλDβ控制器;提出了基于改进遗传算法的分数阶PIλDβ控制器定阶次参数整定的方法。通过使用该遗传算法,分别进行了采用整数阶PID控制器和分数阶PIλDβ控制器,对整数阶和分数阶系统的控制器参数整定的对比仿真。结果表明,在限定相同的参数整定范围时,采用分数阶PIλDβ控制器的控制效果优于整数阶PID控制器。A growing number of research works from various fields deal with dynamical systems described by fractional-order equations which means equations involving derivatives and integrals of non-integer order. While this tool can also be introduced to the concept of a PI^λD^β controller involving fractional-order integral and fractional-order derivative. A method of fractional-order PI^λD^β controller tuning based on revised GA is presented. Revised GA is applied to fractional-order PI^λD^β controller and integer-order PID controller tuning for the control of a fractional-order system and a integer-order system respectively. Simulation results show that fractional-order PI^λD^β controller can get better performance than integral order controller.

关 键 词：遗传算法 分数阶PI^λD^β控制器 控制器参数整定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]