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  4. A feasible-side globally convergent modifier-adaptation scheme
 
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A feasible-side globally convergent modifier-adaptation scheme

Publikationstyp
Journal Article
Date Issued
2017
Sprache
English
Author(s)
Marchetti, Alejandro  
Faulwasser, Timm  
Bonvin, Dominique  
TORE-URI
https://hdl.handle.net/11420/46218
Journal
Journal of Process Control  
Volume
54
Start Page
38
End Page
46
Citation
Journal of Process Control 54: 38-46 (2017)
Publisher DOI
10.1016/j.jprocont.2017.02.013
Scopus ID
2-s2.0-85017303844
Publisher
Elsevier Science
In the context of static real-time optimization (RTO) of uncertain plants, the standard modifier-adaptation scheme consists in adding first-order correction terms to the cost and constraint functions of a model-based optimization problem. If the algorithm converges, the limit is guaranteed to be a KKT point of the plant. This paper presents a general RTO formulation, wherein the cost and constraint functions belong to a certain class of convex upper-bounding functions. It is demonstrated that this RTO formulation enforces feasible-side global convergence to a KKT point of the plant. Based on this result, a novel modifier-adaptation scheme with guaranteed feasible-side global convergence is proposed. In addition to the first-order correction terms, quadratic terms are added in order to convexify and upper bound the cost and constraint functions. The applicability of the approach is demonstrated on a constrained variant of the Williams–Otto reactor for which standard modifier adaptation fails to converge in the presence of plant-model mismatch.
Subjects
Feasible-side convergence
Global convergence
Optimization under uncertainty
Real-time optimization
Static optimization
DDC Class
004: Computer Sciences
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