On constrained steady-state optimal control: dynamic KKT controllers

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

doi:10.1109/ACC.2008.4587200

On constrained steady-state optimal control: dynamic KKT controllers

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

186 Downloads (Pure)

Abstract

This paper presents a solution to the problem of controlling a general linear time-invariant dynamical system (plant) to a time-varying economically optimal operating point. The plant 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 of the plant. A subset of the plant's states and the exogenous inputs represent respectively the decision variables and the parameters in the optimization problem. The proposed control structure, which is proven to solve the considered control problem, is explicitly defined and is based on the dynamic extension of the Karush-Kuhn-Tucker (KKT) optimality conditions for the steady-state related optimization problem.

Original language	English
Title of host publication	2008 American Control Conference : Seattle, WA, 11 - 13 June 2008
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	4474-4479
ISBN (Print)	978-1-4244-2078-0
DOIs	https://doi.org/10.1109/ACC.2008.4587200
Publication status	Published - 2008

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title = "On constrained steady-state optimal control: dynamic KKT controllers",

abstract = "This paper presents a solution to the problem of controlling a general linear time-invariant dynamical system (plant) to a time-varying economically optimal operating point. The plant 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 of the plant. A subset of the plant's states and the exogenous inputs represent respectively the decision variables and the parameters in the optimization problem. The proposed control structure, which is proven to solve the considered control problem, is explicitly defined and is based on the dynamic extension of the Karush-Kuhn-Tucker (KKT) optimality conditions for the steady-state related optimization problem.",

author = "A. Jokic and M. Lazar and {Bosch, van den}, P.P.J.",

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doi = "10.1109/ACC.2008.4587200",

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On constrained steady-state optimal control: dynamic KKT controllers. / Jokic, A.; Lazar, M.; Bosch, van den, P.P.J.
2008 American Control Conference : Seattle, WA, 11 - 13 June 2008. Piscataway: Institute of Electrical and Electronics Engineers, 2008. p. 4474-4479.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - This paper presents a solution to the problem of controlling a general linear time-invariant dynamical system (plant) to a time-varying economically optimal operating point. The plant 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 of the plant. A subset of the plant's states and the exogenous inputs represent respectively the decision variables and the parameters in the optimization problem. The proposed control structure, which is proven to solve the considered control problem, is explicitly defined and is based on the dynamic extension of the Karush-Kuhn-Tucker (KKT) optimality conditions for the steady-state related optimization problem.

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DO - 10.1109/ACC.2008.4587200

M3 - Conference contribution

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BT - 2008 American Control Conference : Seattle, WA, 11 - 13 June 2008

PB - Institute of Electrical and Electronics Engineers

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On constrained steady-state optimal control: dynamic KKT controllers

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