| PID Controller Stabilization for First-order Integral Processes with Time Delay |
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| 作者姓名： | 欧林林 张卫东 顾诞英 |
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| 作者单位： | [1]Department of Automation, Shanghai Jiaotong University, Shanghai 200030 [2]Institute of System Theory in Engineering, University Stuttgart, Stuttgart 70550 , Germany |
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| 摘 要： | 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 singie-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.
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| 关 键 词： | 稳定性 PID控制 时间延迟系统 自动控制 |
| 收稿时间： | 2004-12-22 |
PID Controller Stabilization for First-order Integral Processes with Time Delay |
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| OU Lin-lin,ZHANG Wei-dong,GU Dan-ying.PID Controller Stabilization for First-order Integral Processes with Time Delay[J].Journal of Donghua University,2006,23(1):111-116. |
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| Authors: | OU Lin-lin ZHANG Wei-dong GU Dan-ying |
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| 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 proportional-integral-derivative (PID) controller and the single-parameter 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 dual-locus 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. |
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| Keywords: | stability PID controller integral processes with time delay closed-loop systems |
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