PID-type controller tuning for unstable first order plus dead time processes based on gain and phase margin specifications
PID-type controller tuning for unstable first order plus dead time processes based on gain and phase margin specifications
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DOI：
10.1109/tcst.2006.876913
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发表时间：
2006-08
影响因子：
4.8
通讯作者：
P. Paraskevopoulos;G. Pasgianos;K. Arvanitis
中科院分区：
文献类型：
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作者：
P. Paraskevopoulos;G. Pasgianos;K. Arvanitis
研究了采用比例积分(PI)和比例积分微分(PID)型控制器对不稳定一阶加纯滞后(UFOPDT)过程的控制问题。基于幅相裕度指标的精确满足，提出了一种新的调谐规则。调整规则以迭代算法的形式给出，也以精确的解析近似的形式给出。此外，还导出了与奈奎斯特图的交叉频率和给定工艺的可行设计规范有关的几个具体函数。这些函数对于UFOPDT过程的PI和PID型控制器的一般设计特别有用，为了简化整定过程，这些函数被精确地逼近。使用建议的近似值，本简报中报告的调整规则需要相对较小的计算工作量，并且对在线应用程序特别有用
The control of unstable first-order plus dead-time (UFOPDT) processes using proportional-integral (PI) and proportional-integral-differential (PID) type controllers is investigated in this brief. New tuning rules based on the exact satisfaction of gain and phase margin specifications are proposed. The tuning rules are given in the form of iterative algorithms, as well as in the form of accurate, analytical approximations. Moreover, several specific functions, related to the crossover frequencies of the Nyquist plot and to the feasible design specifications for a given process, are derived. These functions, which are particularly useful for the general design of PI- and PID-type controllers for UFOPDT processes are accurately approximated, in order to simplify the tuning procedure. With the proposed approximations, the tuning rules reported in this brief require relatively small computational effort and are particularly useful for online applications