Predictive control with particular modifications in quadratic programming problem

2015 ◽  
Author(s):  
Tomas Barot ◽  
Marek Kubalcik
Keyword(s):  
Quadratic Programming ◽  
Programming Problem ◽  
Predictive Control ◽  
Quadratic Programming Problem

scholarly journals An improved constrained predictive functional control for industrial processes: A chamber pressure process study

2020 ◽  
Vol 53 (5-6) ◽  
pp. 833-840
Author(s):  
Sheng Wu ◽  
Pingzhi Hou ◽  
Hongbo Zou
Keyword(s):  
Model Predictive Control ◽  
Quadratic Programming ◽  
Cost Function ◽  
Programming Problem ◽  
Predictive Control ◽  
Quadratic Programming Problem ◽  
Coke Furnace ◽  
Predictive Functional Control ◽  
Functional Control ◽  
Constrained Model

An improved constrained predictive functional control for the pressure of a coke furnace is proposed in this article. In conventional constrained model predictive control, a quadratic programming problem is usually constructed to replace the original cost function and constraints to obtain the optimal control law. Under strict constraints, however, the relevant quadratic programming problem may have no feasible solutions. Unlike conventional approaches, there are several effective relaxations introduced for the constraints in the proposed scheme; then, a new cost function and the new transformed constraints are generated. With the improved constraints and cost function, there are always acceptable solutions for the quadratic programming problem under various conditions. The validity of the presented constrained model predictive control algorithm is evaluated through the regulation of the pressure of the coke furnace.

scholarly journals An improved constrained dynamic matrix control for temperature in an industrial coke furnace

2019 ◽  
Vol 52 (5-6) ◽  
pp. 409-417
Author(s):  
Hongbo Zou ◽  
Limin Wang
Keyword(s):  
Model Predictive Control ◽  
Quadratic Programming ◽  
Programming Problem ◽  
Predictive Control ◽  
Quadratic Programming Problem ◽  
Control Law ◽  
Dynamic Matrix Control ◽  
Coke Furnace ◽  
Dynamic Matrix ◽  
Matrix Control

In order to derive the feasible control law of the constrained model predictive control scheme, quadratic programming has been introduced as an effective method. It is known that the typical performance index for model predictive control strategies under various constraints can be converted into a standard quadratic programming problem; however, there may be no feasible solutions for the corresponding quadratic programming problem when the working conditions are too bad or constraints are too rigorous, the real-time control law cannot be updated and the system performance may be deteriorated. To cope with such problems, an improved quadratic programming problem in which relaxations are employed to increase the possibility of successful solutions is proposed for the constrained dynamic matrix control approach in this paper. By adopting the introduced relaxations, more degrees of relaxations are provided for the optimization process under the case of over-constrained, such that the control law is easier to yield. Case study on the temperature regulation of the coke furnace demonstrates the validity of the improved quadratic programming structure–based dynamic matrix control strategy. Simulation results show that the proposed scheme yields improved control performance.

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