On constrained steady-state regulation : dynamic KKT controllers

A. Jokic, M. Lazar, P.P.J. Bosch, van den

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74 Citations (Scopus)
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Abstract

This technical note presents a solution to the problem of regulating a general nonlinear dynamical system to an economically optimal operating point. The system is characterized by a set of exogenous inputs as an abstraction of time-varying loads and disturbances. The economically optimal operating point is implicitly defined as a solution to a given constrained convex optimization problem, which is related to steady-state operation. The system outputs and the exogenous inputs represent respectively the decision variables and the parameters in the optimization problem. The proposed solution is based on a specific dynamic extension of the Karush-Kuhn-Tucker optimality conditions for the steady-state related optimization problem, which is conceptually related to the continuous-time Arrow-Hurwicz-Uzawa algorithm. Furthermore, it can be interpreted as a generalization of the standard output regulation problem with respect to a constant reference signal.
Original languageEnglish
Pages (from-to)2250-2254
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume54
Issue number9
DOIs
Publication statusPublished - 2009

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