基于稳定裕量的二阶时滞系统PID控制器参数稳定域  

Second-order Time Delay System Stable Regions of PID Controller Parameter Based on Stability Margins

作　　者：方斌[1] 

机构地区：[1]南京理工大学自动化学院,江苏南京210094

出　　处：《信息与控制》2011年第2期192-197,共6页Information and Control

基　　金：南京理工大学校科研启动基金资助项目(AB41972)

摘　　要：基于广义Hermite-Biehler定理,由二阶时滞对象的逆Nyquist曲线,可确定PID控制器比例增益的稳定范围;在积分和微分增益平面上,运用一组不等式可确定该二维平面上参数的稳定区域,从而给出了确定二阶时滞系统PID控制器参数稳定域的方法.在此基础上,针对稳定裕量指标,也给出相应的PID控制器稳定域的处理方法.仿真实例验证了该算法的有效性.Based on the generalization of Hermite-Biehler theorem,the stable regions of proportional gain of PID（proportion integration differentiation） controller can be determined by inverse Nyquist curve of second-order object with time delay.The parameter stable regions can be determined by inequalities in the integral and differential gain plane.Thus a new approach is given to determine PID controller parameter stable regions of second-order time delay system.On this basis,for performance of stability margins,the corresponding approach of PID controller parameter stable regions is also given.The simulation examples demonstrate the validity of the proposed approach.

关 键 词：稳定裕量 逆Nyquist PID控制器 参数稳定域 二阶时滞系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]