东华大学学报（英文版）2006，Vol.23Issue(1)：111-116,6.
PID Controller Stabilization for First-order Integral Processes with Time Delay
PID Controller Stabilization for First-order Integral Processes with Time Delay
摘要
Abstract
Due to the widespread application of the PID controller in industrial control systems, it is desirable to know the complete set of all the stabilizing PID controllers for a given plant before the controller design and tuning. In this paper,the stabilization problems of the classical proportionalintegral-derivative (PID) controller and the singleparameter PID controller (containing only one adjustable parameter) for integral processes with time delay are investigated, respectively. The complete set of stabilizing parameters of the classical PID controller is determined using a version of the Hermite-Biehler Theorem applicable to quasipolynomials. Since the stabilization problem of the single-parameter PID controller cannot be treated by the Hermite-Biehler Theorem, a simple method called duallocus diagram is employed to derive the stabilizing range of the single-parameter PID controller. These results provide insight into the tuning of the PID controllers.关键词
stability/PID controller/integral processes with time delay/closed-loop systemsKey words
stability/PID controller/integral processes with time delay/closed-loop systems分类
信息技术与安全科学引用本文复制引用
..PID Controller Stabilization for First-order Integral Processes with Time Delay[J].东华大学学报（英文版）,2006,23(1):111-116,6.基金项目
This paper is supported by National Science Foundation of China (60274032), SRFDP (20030248040) and SRSP (04QMH1405) （60274032）
