Open AccessMultiobjective economic MPC of constrained non‐linear systems
Author(s) -
He Defeng,
Sun Jing,
Chen Wei
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0947
Subject(s) - convergence (economics) , control theory (sociology) , context (archaeology) , mathematical optimization , stability (learning theory) , scheme (mathematics) , mathematics , dual (grammatical number) , computer science , control (management) , artificial intelligence , art , mathematical analysis , economics , biology , economic growth , paleontology , literature , machine learning
This study proposes an alternative utopia‐tracking multiobjective economic model prediction control scheme of constrained non‐linear systems with guaranteed asymptotic stability and convergence of average performance. The proposed scheme minimises the distance of its cost function vector to a vector of independently minimised objectives evaluated at ultimate transient operation, i.e. ultimate utopia point. Recursive feasibility and stability of the scheme are established by a closed‐loop optimisation dual‐mode formulation. Moreover, convergence of the closed‐loop average performance is established in the context of multiobjective optimisation. The theoretical results are illustrated by two examples of chemical processes.