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Simple Proportional Integral Controller Tuning Rules for FOPTD and HOPTD Models Based on Matching Two Asymptotes
Industrial & Engineering Chemistry Research ( IF 3.8 ) Pub Date : 2018-02-20 00:00:00 , DOI: 10.1021/acs.iecr.7b03966
Jietae Lee 1 , Yongjeh Lee 2 , Dae Ryook Yang 2 , Thomas F. Edgar 3
Affiliation  

Many methods are available to tune proportional integral (PI) controllers for first order plus time delay (FOPTD) models of overdamped processes. The two asymptotes for small and large ratios of time delays over time constants are easily calculated. These two asymptotes can be used to evaluate and provide guidelines for the performance and application ranges of PI controller tuning rules. By matching these two asymptotes, a simple analytic tuning rule is suggested. For some overdamped processes whose transfer functions have large zero terms, half-order plus time delay (HOPTD) models are found to yield better results than the FOPTD models. Applying the technique of matching two asymptotes, a simple analytic PI controller tuning rule has also been proposed for the HOPTD models. To apply these tuning rules to high order processes with known transfer functions, model reduction methods to obtain the FOPTD and HOPTD models are investigated. Simulation results for empirical and full models of processes show the performances of the proposed model reduction methods and tuning rules.

中文翻译:

基于匹配两个渐近线的FOPTD和HOPTD模型的简单比例积分控制器调整规则

对于过阻尼过程的一阶加时间延迟(FOPTD)模型,可以使用许多方法来调整比例积分(PI)控制器。可以很容易地计算出时间常数随时间常数的比例小和大的两个渐近线。这两个渐近线可用于评估PI控制器调整规则的性能和适用范围并提供指导。通过匹配这两个渐近线,提出了一个简单的解析调整规则。对于某些传递函数具有大零项的过阻尼过程,发现半阶加时间延迟(HOPTD)模型比FOPTD模型产生更好的结果。应用匹配两个渐近线的技术,还为HOPTD模型提出了一种简单的解析PI控制器调整规则。为了将这些调整规则应用于具有已知传递函数的高阶过程,研究了用于获得FOPTD和HOPTD模型的模型简化方法。对过程的经验模型和完整模型的仿真结果表明了所提出的模型简化方法和调整规则的性能。
更新日期:2018-02-21
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