Bode理想传递函数在分数阶控制中的应用  

Application of Bode's Ideal Transfer Function to Fractional Order Control

作　　者：何一文[1] 许维胜[1] 程艳[1] 

机构地区：[1]同济大学电子与信息工程学院,上海201804

出　　处：《信息与控制》2010年第2期200-206,共7页Information and Control

基　　金：国家863高技术基金资助项目(2006AA05Z211)

摘　　要：本文将Bode理想传递函数应用于分数阶控制器的设计和分数阶PID控制器参数整定中.所得控制器可以在满足系统要求的截止频率和相角裕度的前提下,使补偿后系统Bode图的相频特性曲线在截止频率附近有一个水平区域,即闭环系统对增益的变化具有鲁棒性.它不仅适合于分数阶对象,也适用于整数阶对象,并能够提高系统的控制品质.仿真结果证明了上述方法的有效性.The Bode＇s ideal transfer function is applied to the design of fractional order controller and the parameter tuning of fractional order PID controller. The resulting controllers can make the curve of phase frequency Bode plot for the compensated system fiat at the given gain crossover frequency, under the premise of ensuring that the given gain crossover frequency and phase margin are fulfilled. Therefore, the closed-loop system is robust to gain variations. The methods proposed can promote the performances of the closed-loop systems and suit for fractional and integral order objects. Simulation results demonstrate the effectiveness and validity of the proposed method.

关 键 词：分数阶控制 PIλDμ控制器 Bode理想传递函数 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]