scholarly journals Asymmetric games for convolution systems with applications to feedback control of constrained parabolic equations

2007 ◽  
Vol 333 (1) ◽  
pp. 401-415 ◽  
Author(s):  
Boris S. Mordukhovich ◽  
Thomas I. Seidman
Keyword(s):  
Feedback Control ◽  
Parabolic Equations ◽  
Convolution Systems

Weak and strong stabilization for time-delay semi-linear systems governed by constrained feedback control

2021 ◽  
Vol 8 (4) ◽  
pp. 627-637
Author(s):  
Y. Benslimane ◽  
◽  
A. Delbouh ◽  
H. El Amri ◽  
◽  
...  
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Linear Systems ◽  
Parabolic Equations ◽  
Strong Stabilization

This paper is concerned with the issue of weak and strong stabilization for distributed semi-linear systems with time delay using a constrained feedback control. The results of the semi-linear systems without delay are generalized for strong and weak stabilization cases. Illustrating applications to hyperbolic and parabolic equations are considered.

Use of vent stack temperature as a feedforward variable for dissolver total titratable alkali (TTA) control

TAPPI Journal ◽  
2018 ◽  
Vol 17 (05) ◽  
pp. 261-269
Author(s):  
Wei Ren ◽  
Brennan Dubord ◽  
Jason Johnson ◽  
Bruce Allison
Keyword(s):  
Feedback Control ◽  
Current Practice ◽  
Feedforward Control ◽  
Control Variable ◽  
Indirect Measurement ◽  
Tight Control ◽  
Transfer Lines ◽  
Green Liquor ◽  
Process Dynamics ◽  
Downstream Processes

Tight control of raw green liquor total titratable alkali (TTA) may be considered an important first step towards improving the overall economic performance of the causticizing process. Dissolving tank control is made difficult by the fact that the unknown smelt flow is highly variable and subject to runoff. High TTA variability negatively impacts operational costs through increased scaling in the dissolver and transfer lines, increased deadload in the liquor cycle, under- and over-liming, increased energy consumption, and increased maintenance. Current practice is to use feedback control to regulate the TTA to a target value through manipulation of weak wash flow while simultaneously keeping dissolver density within acceptable limits. Unfortunately, the amount of variability reduction that can be achieved by feedback control alone is fundamentally limited by the process dynamics. One way to improve upon the situation would be to measure the smelt flow and use it as a feedforward control variable. Direct measurement of smelt flow is not yet possible. The use of an indirect measurement, the dissolver vent stack temperature, is investigated in this paper as a surrogate feedforward variable for dissolving tank TTA control. Mill trials indicate that significant variability reduction in the raw green liquor TTA is possible and that the control improvements carry through to the downstream processes.

FEEDBACK CONTROL OF LH-SECRETION IN THE CASTRATED ADULT MALE MINIATURE PIG

1975 ◽  
Vol 80 (1_Suppla) ◽  
pp. S76
Author(s):  
N. Parvizi ◽  
F. Elsaesser ◽  
D. Smidt ◽  
F. Ellendorff
Keyword(s):  
Feedback Control ◽  
Adult Male ◽  
Miniature Pig ◽  
Lh Secretion

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

2002 ◽  
Vol 7 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Mifodijus Sapagovas
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Nonlocal Condition ◽  
Nonlocal Conditions ◽  
Numerical Algorithms ◽  
Uniqueness Of The Solution

Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself.

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