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Robust constrained economic receding horizon control applied to the two time‐scale dynamics problem of a greenhouse
Author(s) -
González Ramón,
Rodríguez Francisco,
Guzmán José Luis,
Berenguel Manuel
Publication year - 2013
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2080
Subject(s) - control theory (sociology) , greenhouse , time horizon , scale (ratio) , optimal control , horizon , control (management) , robust control , computer science , controller (irrigation) , mathematical optimization , perturbation (astronomy) , mathematics , control system , engineering , agronomy , physics , geometry , quantum mechanics , artificial intelligence , horticulture , electrical engineering , biology
SUMMARY This paper discusses the formulation of an optimal control framework for a two time‐scale system modeled in terms of singular perturbation theory. The fast dynamics subsystem is controlled online by means of a robust receding horizon control approach considering economic objectives in the performance function and fulfilling state and input constraints. The formulation is addressed in general terms, so it can be adapted to different applications. A practical example is given, greenhouse crop growth control. Simulations comparing the proposed controller with another two time‐scale control strategy demonstrate constraints fulfillment and a proper performance, assuming uncertainty in the weather conditions during the predictions. Copyright © 2013 John Wiley & Sons, Ltd.

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