分数阶PI^λD^μ控制器参数设计方法——极点阶数搜索法  

A Design Method of the Parameters of Fractional-order PI^λD^μ Controller -Poles-Orders Searching Method

作　　者：严慧[1] 于盛林[1] 李远禄[1] 

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016

出　　处：《信息与控制》2007年第4期445-450,共6页Information and Control

摘　　要：分数阶PIλDμ控制器将传统整数阶PID控制器的微分与积分阶数扩展到分数.利用μ、λ两个参数,可以灵活地设计PID控制器.本文提出了一种整定分数阶PIλDμ控制器参数的有效方法——极点阶数搜索法.其基本原理是,首先估计分数阶PIλDμ控制器的比例参数KP,然后设计一对稳定度较好的极点,再估计参数μ和λ的搜寻范围,最后将KP?极点代入分数阶控制系统的特征方程中,并在μ和λ的搜寻范围内搜寻一组能满足分数阶控制系统时域性能指标的分数阶PIλDμ控制器的参数KP、KI、λ、KD、μ.仿真结果证明,用极点阶数搜索法设计出的分数阶PIλDμ控制器能更好地调节分数阶被控系统.Fractional-order PI^λD^μ controller expands the orders of integrator and differentiator of classical integer-order PID controller into fractional order. A PID controller can be designed flexibly by using the two parametersμ and λ. In this paper, an effective method for tuning the parameters of fractional-order PI^λD^μ controller - the poles-orders searching method - is proposed. The fundamental principle of the method is as follows ： firstly proportional parameter Kp of the fractional-order PI^λD^μ controller is estimated; secondly a pair of poles with better stability measures are designed; thirdly the searching ranges Of μ and λ are estimated; finally the known parameter Kp and the poles are introduced into the characteristic equation of fractional control system, and a group of parameters of the fractional-order PI^λD^μ controller in the ranges of μ and λ are found, which can meet performance requirements of the fractional control system in time domain. The simulation verifies that the fractional-order PI^λD^μ controller designed with polesorders searching method can adjust the controlled system in a better way.

关 键 词：极点阶数搜索法 分数阶PI^ΛD^Μ控制器 参数整定 分数阶控制系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]