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Analysis of economic model predictive control with terminal penalty functions on generalized optimal regimes of operation
Author(s) -
Dong Zihang,
Angeli David
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.4283
Subject(s) - terminal (telecommunication) , counterexample , model predictive control , control theory (sociology) , optimal control , nonlinear system , mathematical optimization , stability (learning theory) , penalty method , function (biology) , state (computer science) , mathematics , control (management) , computer science , algorithm , telecommunications , physics , discrete mathematics , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , biology
Summary In this paper, we propose the novel concept of “control storage function” and introduce upper and lower bounds to the best asymptotic average performance for nonlinear control systems based on suitable notions of dissipativity and controlled dissipativity. This allows to extend and unify the formulation and analysis of economic model predictive control for general optimal operation regimes, including, in particular, steady‐state or periodic operation. A closed‐loop economic performance and stability analysis are carried out within this generalized framework. As a special case, when the optimal operation is periodic, we present a new approach to formulate terminal cost functions. Finally, several examples and counterexamples are proposed and discussed to show the merits of the proposed approach.