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A robust economic MPC for changing economic criterion
Author(s) -
D' Jorge Agustina,
Anderson Alejandro,
González Alejandro H.,
Ferramosca Antonio
Publication year - 2018
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4243
Subject(s) - control theory (sociology) , robustness (evolution) , bounded function , robust control , mathematical optimization , controller (irrigation) , computer science , model predictive control , mathematics , constraint (computer aided design) , control (management) , control system , engineering , artificial intelligence , mathematical analysis , agronomy , biochemistry , chemistry , geometry , biology , electrical engineering , gene
Summary This note presents a robust economic model predictive control controller suitable for changing economic criterion. The proposal ensures feasibility under any change of the economic criterion, thanks to the use of artificial variables and a relaxed terminal constraint, and robustness in presence of additive bounded disturbances. The resulting robust formulation considers a nominal prediction model and restricted constraints (in order to account for the effect of additive disturbances). The controlled system under the proposed controller is shown to be input‐to‐state stable in the sense that it is asymptotically steered to an invariant region around the best admissible steady state. An illustrative example shows the benefits and the properties of the proposed controller.