Globally optimal robust process control

Jeremy G. Vanantwerp; Richard D. Braatz; Nikolaos V. Sahinidis

doi:10.1016/S0959-1524(99)00012-8

Globally optimal robust process control

Jeremy G. Vanantwerp, Richard D. Braatz, Nikolaos V. Sahinidis

Research output: Contribution to journal › Conference article › peer-review

Abstract

A computational approach is developed for designing a globally optimal controller which is robust to time-varying nonlinear perturbations in the plant. This controller design problem is formulated as an optimization with bilinear matrix inequality (BMI) constraints, and is solved to optimality by a branch and bound algorithm. The algorithm is applied to a reactive ion etcher, and provides superior performance while providing robustness to nonlinear plant/model mismatch. The algorithm is also applied to a well known benchmark problem.

Original language	English (US)
Pages (from-to)	375-383
Number of pages	9
Journal	Journal of Process Control
Volume	9
Issue number	5
DOIs	https://doi.org/10.1016/S0959-1524(99)00012-8
State	Published - Oct 1999
Event	Proceedings of the 1997 6th International Symposium on Process Systems Engineering and 30th European Symposium on Computer Aided Process Engineering (PSE-ESCAPE'97) - Trondheim, Norway Duration: May 25 1997 → May 29 1997

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Computer Science Applications
Industrial and Manufacturing Engineering

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10.1016/S0959-1524(99)00012-8

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title = "Globally optimal robust process control",

abstract = "A computational approach is developed for designing a globally optimal controller which is robust to time-varying nonlinear perturbations in the plant. This controller design problem is formulated as an optimization with bilinear matrix inequality (BMI) constraints, and is solved to optimality by a branch and bound algorithm. The algorithm is applied to a reactive ion etcher, and provides superior performance while providing robustness to nonlinear plant/model mismatch. The algorithm is also applied to a well known benchmark problem.",

author = "Vanantwerp, {Jeremy G.} and Braatz, {Richard D.} and Sahinidis, {Nikolaos V.}",

note = "Funding Information: The first author was supported by the UIUC Computational Science and Engineering Program. The second author was supported by the DuPont Young Faculty Award. The third author was supported by the Petroleum Research Fund and the National Science Foundation under grant DMII94-14615. ; Proceedings of the 1997 6th International Symposium on Process Systems Engineering and 30th European Symposium on Computer Aided Process Engineering (PSE-ESCAPE'97) ; Conference date: 25-05-1997 Through 29-05-1997",

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AU - Vanantwerp, Jeremy G.

AU - Braatz, Richard D.

AU - Sahinidis, Nikolaos V.

N1 - Funding Information: The first author was supported by the UIUC Computational Science and Engineering Program. The second author was supported by the DuPont Young Faculty Award. The third author was supported by the Petroleum Research Fund and the National Science Foundation under grant DMII94-14615.

PY - 1999/10

Y1 - 1999/10

N2 - A computational approach is developed for designing a globally optimal controller which is robust to time-varying nonlinear perturbations in the plant. This controller design problem is formulated as an optimization with bilinear matrix inequality (BMI) constraints, and is solved to optimality by a branch and bound algorithm. The algorithm is applied to a reactive ion etcher, and provides superior performance while providing robustness to nonlinear plant/model mismatch. The algorithm is also applied to a well known benchmark problem.

AB - A computational approach is developed for designing a globally optimal controller which is robust to time-varying nonlinear perturbations in the plant. This controller design problem is formulated as an optimization with bilinear matrix inequality (BMI) constraints, and is solved to optimality by a branch and bound algorithm. The algorithm is applied to a reactive ion etcher, and provides superior performance while providing robustness to nonlinear plant/model mismatch. The algorithm is also applied to a well known benchmark problem.

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SP - 375

EP - 383

JO - Journal of Process Control

JF - Journal of Process Control

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Y2 - 25 May 1997 through 29 May 1997

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Globally optimal robust process control

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