scholarly journals Adjustment of the PID Gains Vector Due to Parametric Variations in the Plant Model in Terms of Internal Product

2021 ◽  
Author(s):  
José Pinheiro de Moura ◽  
João Viana da Fonseca Neto

The tuning of the gains of a controller with proportional-integral-derivative (PID) actions has been prevalent in the industry. The adjustment of these gains in PID controllers is often determined by classical methods, such as Ziegler-Nichols, and trial and error. However, these methods fail to deliver satisfactory performance and often do not meet specific project demands because of the inherent complexity of industrial processes, such as plant parameter variations. To solve the tuning problem in highly complex industrial processes, a controller adjustment method based on the internal product of PID terms is proposed, and a propagation matrix (PM) is generated by the numerator coefficients of the plant transfer function (TF). In the proposed method, each term of the PID controller is influenced by each of the numerator and the denominator coefficients. Mathematical models of practical plants, such as unloading and resumption of bulk solids by car dumpers and bucket wheel resumption, were employed to evaluate the proposed method. The obtained results demonstrated an assertive improvement in the adjustment gains from PID actions, thereby validating it as a promising alternative to conventional methods.


Processes ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 1260
Author(s):  
Stefanie Duvigneau ◽  
Robert Dürr ◽  
Jessica Behrens ◽  
Achim Kienle

Biopolymers are a promising alternative to petroleum-based plastic raw materials. They are bio-based, non-toxic and degradable under environmental conditions. In addition to the homopolymer poly(3-hydroxybutyrate) (PHB), there are a number of co-polymers that have a broad range of applications and are easier to process in comparison to PHB. The most prominent representative from this group of bio-copolymers is poly(3-hydroxybutyrate-co-3-hydroxyvalerate) (PHBV). In this article, we show a new kinetic model that describes the PHBV production from fructose and propionic acid in Cupriavidus necator (C. necator). The developed model is used to analyze the effects of process parameter variations such as the CO2 amount in the exhaust gas and the feed rate. The presented model is a valuable tool to improve the microbial PHBV production process. Due to the coupling of CO2 online measurements in the exhaust gas to the biomass production, the model has the potential to predict the composition and the current yield of PHBV in the ongoing process.



Author(s):  
Tooran Emami ◽  
John M. Watkins

A graphical technique for finding all proportional integral derivative (PID) controllers that stabilize a given single-input-single-output (SISO) linear time-invariant (LTI) system of any order system with time delay has been solved. In this paper a method is introduced that finds all PID controllers that also satisfy an H∞ complementary sensitivity constraint. This problem can be solved by finding all PID controllers that simultaneously stabilize the closed-loop characteristic polynomial and satisfy constraints defined by a set of related complex polynomials. A key advantage of this procedure is the fact that it does not require the plant transfer function, only its frequency response.



2019 ◽  
Author(s):  
Karolina Matuszek ◽  
R. Vijayaraghavan ◽  
Mega Kar ◽  
Douglas Macfarlane

Phase change materials (PCMs) which melt in the temperature range of 100-230 °C, are a promising alternative for the storage of thermal energy. In this range, large amounts of energy available from solar-thermal, or other forms of renewable heat, can be stored and applied to domestic or industrial processes, or to an Organic Rankine Cycle (ORC) engine to generate electricity. The amount of energy absorbed is related to the latent heat of fusion (ΔH<sub>f</sub>) and is often connected to the extent of hydrogen bonding in the PCM. Herein, we report fundamental studies, including crystal structure and Hirshfeld surface analysis, of a family of guanidinium organic salts that exhibit high values of ΔH<sub>f</sub>, demonstrating that the presence and strength of H-bonds between ions plays a key role in this property.





2012 ◽  
Vol 45 (3) ◽  
pp. 607-612
Author(s):  
F.J. Gomes ◽  
F.P. Queiroz ◽  
I.F. Lopes ◽  
A.A.R. Coelho


2021 ◽  
pp. 89-93
Author(s):  
Konstantin Anatolyevich Kuzmin ◽  
Sergey Mikhaylovich Morozov ◽  
Elena Vitalyevna Balmashnova ◽  
Diana Dmitrievna Zueva

Three-channel PID controllers are widely used in industrial control systems. It is noted that the popularity of PID controllers in the control of industrial processes is explained by their ability to ensure high quality of processes in a wide range of modes, as well as functional simplicity that allows engineers to operate them without any problems.



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