Modifier Adaptation for Constrained Closed-Loop Systems
TL;DR: This paper extends the iterative optimization method called "modifier adaptation" to constrained optimization problems, where the plant consists of a closed-loop system but only a model of the open- loop system is available.
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About: This article is published in IFAC Proceedings Volumes. The article was published on 01 Jan 2014. and is currently open access. The article focuses on the topics: Constrained optimization & Constraint satisfaction.
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Figures
Fig. 8. The constraint on XG as a function of the iteration number k. Blue/Red/Green = Cases A/B/C. Solid = Method A, Dashed = Method B. 
Table 1. Values of the plant parameters and the two fixed model parameters (the other model parameters are adjusted as shown in Table 2 to generate the investigation cases A-C). 
Table 2. Values of the adjusted model parameters for the three different cases 
Fig. 5. Evolution of the setpoints during the first 20 iterations of the generalized MA scheme for Cases A-C. The letters A/B/C are the nominal optimal solutions, which correspond to the initial points. Solid = Method A, Dashed = Method B. The contour lines are for the plant cost. The dotted black line indicates the plant constraint on XA. The black dot indicates the location of the plant optimum. 
Figures 5-8 show the performance of Methods A and B for the three different sets of the adjusted model parameters given in Table 2. The filter matrices are: 
Fig. 6. The profit as a function of the iteration number k. Blue/Red/Green = Cases A/B/C. Solid = Method A, Dashed = Method B. Note that, at each iteration, the plant must be evaluated at 3 slightly different operating points in order to estimate the gradient according to (5.11).
Citations
Modifier Adaptation for Real-Time Optimization—Methods and Applications
Alejandro Marchetti,Alejandro Marchetti,Grégory François,Timm Faulwasser,Timm Faulwasser,Dominique Bonvin +5 more
- 20 Dec 2016
TL;DR: An overview of the recent developments of modifier-adaptation schemes for real-time optimization of uncertain processes that have the ability to reach plant optimality upon convergence despite the presence of structural plant-model mismatch is presented.
An Analysis of the Directional-Modifier Adaptation Algorithm Based on Optimal Experimental Design
Sebastien Gros
- 22 Dec 2016
TL;DR: A novel view of the directional-modifier adaptation algorithm, as an approximation of the optimal trade-off between the underlying experimental design problem and the process optimization problem, and suggests a minor modification in the tuning of the algorithm to make it a more genuine approximation.
42
Non-Convex Feedback Optimization with Input and Output Constraints
Verena Häberle,Adrian Hauswirth,Lukas Ortmann,Saverio Bolognani,Florian Dörfler +4 more
- 12 Jun 2020
TL;DR: A novel control scheme for feedback optimization that can steer a physical plant to the solution of a constrained optimization problem without numerically solving the problem is proposed, and global convergence is guaranteed even for non-convex problems.
36
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References
Plantwide control: the search for the self-optimizing control structure
TL;DR: A systematic procedure for finding suitable controlled variables based on only steady-state information is presented and important steps are degree of freedom analysis, definition of optimal operation (cost and constraints), and evaluation of the loss when the controlled variables are kept constant rather than optimally adjusted.
633
Modifier-Adaptation Methodology for Real-Time Optimization
TL;DR: In this article, a constraint-adaptation scheme for real-time optimization of a fuel-cell system is proposed, where the bias terms are used to modify the constraints in the steady-state optimization problem.
A generalized chemical processing model for the investigation of computer control
Theodore J. Williams,Robert E. Otto +1 more
- 01 Nov 1960
TL;DR: In this paper, the relative applicability of the many computer-control schemes which have been proposed for use by the chemical and petroleum processing industries has been investigated, and no direct comparison of the results obtained has been made.
173
A Dual Modifier-Adaptation Approach for Real-Time Optimization
TL;DR: The dual modifier-adaptation approach drives the process towards optimality, while paying attention to the accuracy of the estimated gradients, through the development of an upper bound on the norm of the gradient errors.
137
On‐line optimization of constrained multivariable chemical processes
TL;DR: In this article, a two-phase approach to control and operation of complex chemical processes at their optimum operating conditions is presented, which is particularly suited to those processes that exhibit slow dynamic responses and are subject to disturbances that have a significant economic impact.
130