Complementarity systems in constrained steady-state optimal control

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)


This paper presents a solution to the problem of regulating a general nonlinear dynamical system to a time-varying 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. Complementarity systems are employed as building blocks to construct a dynamic controller that solves the considered regulation problem. The complementarity solution arises naturally via a dynamic extension of the Karush-Kuhn-Tucker optimality conditions for the steady-state related optimization problem.
Original languageEnglish
Title of host publicationHybrid Systems: Computation and Control : proceedings of the 11th international workshop (HSCC 2008), April 22-24, 2008, St Louis , MO , USA
EditorsB. Mishra
Place of PublicationSpringer Berlin / Heidelberg
ISBN (Print)978-3-540-78928-4
Publication statusPublished - 2008

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743


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