基于相角裕度与鲁棒性解析法设计分数阶PIλ控制器  

Design of PIλ Controller Based on Phase Margin and Robustness Analytical Method

作　　者：高学利 吕广芝 

机构地区：[1]烟台万华化工设计院有限公司,山东烟台264006

出　　处：《化工自动化及仪表》2014年第3期243-245,343,共4页Control and Instruments in Chemical Industry

摘　　要：介绍了一种基于期望相角裕度与提高系统鲁棒性的解析法设计分数阶PIλ控制器。首先,根据相角裕度的定义和提高系统的鲁棒性得到3个非线性方程组,并用图解法得到PIλ控制器的积分阶次λ;然后,由解析法得到控制器的比例增益kP和积分时间常数TI。比较传统Z-N法设计的常规PI控制器,仿真表明解析法得到分数阶PIλ控制器能得到期望的裕度并具有更好的鲁棒性。An PIλ controller based on phased margin and robustness analytical method was introduced,in which,having phase margin and system robustness based to obtain three nonlinear equations and the graphic method used to gain the integral order λ of the controller; and then having analytical method employed to obtain both proportional gain kp and integral time constant TI.Comparing it with conventional PIλ controller designed with Ziegler-Nichols shows that analytical method-based controller has desired phase margin and better robustness.

关 键 词：分数阶PIλ 控制器 相角裕度 解析 

分 类 号：TH86[机械工程—仪器科学与技术]