Ziegler-Nichols Type Tuning Rules for Fractional PID Controllers

Author(s):  
Duarte Vale´rio ◽  
Jose´ Sa´ da Costa

This paper presents two sets of tuning rules for fractional PIDs that rely solely on the same plant time-response data used by the first Ziegler-Nichols tuning rule for (usual, integer) PIDs. Thus no model for the plant to control is needed; only an S-shaped step response is. These rules are quadratic and their results compare well with those obtained with rule-tuned integer PIDs.

2019 ◽  
Vol 139 (8) ◽  
pp. 882-888
Author(s):  
Shiro Masuda ◽  
Jongho Park ◽  
Yoshihiro Matsui

2003 ◽  
Vol 21 (4) ◽  
pp. 349-362
Author(s):  
C.C.K. Beh ◽  
P.A. Webley

The application of vacuum swing adsorption (VSA) as a method for the production of low-purity oxygen is now a mature and widely used technology. However, unlike other unit operations, VSA processes remain difficult to understand and, coupled by the lack of theoretical developments in batch process control, make them difficult to control. The objective of the second part of this study was to characterise the step response data gained from Part 1 using empirical modelling techniques. This information was then used to analyse the sensitivity of the input variables and hence permit determination of the extent of closed-loop interaction and identification of suitable controller parings.


1944 ◽  
Vol 132 (867) ◽  
pp. 164-188 ◽  

The response of the bovine ovary to single subcutaneous injections of pregnant mares’ serum (P. M. S.) and horse pituitary extract has been studied both quantitatively and qualitatively. For the former both time-response and dose-response data were obtained, for the latter time-response data only. Quantitative changes were measured by the following ovarian indices: mean follicular diameter (M. D.); percentage of follicles M. D. ≥ 10 mm.; number of follicles M. D. ≥ 4 mm.; number of follicles M. D. ≥ 10 mm.; total follicular volume, and weight. Only the first two criteria were found to have more than a rough relationship with the duration and magnitude of the treatment given. The threshold dose of P. M. S. for quantitative effects was between 1000 and 2000 i. u. For higher doses the ovarian response was most pronounced, but there was evidence that the maximal rate of stimulation had been reached with doses of 3000-4000 i. u. For both gonadotrophins the stage of the oestrous cycle at which injections were given had no differentiating effect upon the quantitative response obtained. In particular, the total number of follicles stimulated to growth, an index that ranged widely, showed no correla­tion with this variable. Qualitative changes observed included multiple ovulation, anovulatory luteinization, the formation of abnormally small corpora lutea (P. M. S. only), and the occurrence of haemorrhagic follicles. An effect caused by horse pituitary injections only was the rupture of a single follicle within 1-2 days of treatment (‘shock’ effect). Ovulation following treatment with P. M. S. only occurred when the injection was given in the last, or follicular, phase of the oestrous cycle. With horse pituitary injections ovulation followed treatment given at all stages of the cycle. The differences in the biological properties of these two gonadotrophic preparations have been discussed in the light of the new evidence arising from this study.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Samuel Weishaupt ◽  
Linus Feiten ◽  
Bernd Becker ◽  
Uwe Wagschal ◽  
Thomas Waldvogel ◽  
...  

Abstract When real-time response data from viewers of a televised debate is collected via the internet, the server timestamps of the received responses may not match the correct times of the debate. This paper addresses the question of how the data could be aligned in retrospect, using an algorithm that approximates the playout delay difference between each viewer’s TV signal. The validity is shown by successfully approximating distinctive delays for viewers with satellite or cable TV.


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