Non-Smooth Optimization for Robust Control of Infinite-Dimensional Systems

We use a non-smooth trust-region method for H ∞ -control of infinite-dimensional systems. Our method applies in particular to distributed and boundary control of partial differential equations. It is computationally attractive as it avoids the use of system reduction or identification. For illustrat...

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Bibliographic Details
Published inSet-valued and variational analysis Vol. 26; no. 2; pp. 405 - 429
Main Authors Apkarian, Pierre, Noll, Dominikus, Ravanbod, Laleh
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2018
Springer Nature B.V
Springer
Subjects
Analysis
Boundary control
Cavity flow
Control systems
Convection
Flow control
H-infinity control
Mathematics
Mathematics and Statistics
Optimization
Optimization and Control
Partial differential equations
Robust control
Robust control
49J52
Non-smooth trust-region method
90C56
Boundary control
93C80
93C20
Infinite-dimensional system
Non-smooth optimization
COMMANDE ROBUSTE OPTIMISATION NON-LISSE SYSTEMES DE DIMENSION INFINIE
NON-SMOOTH OPTIMIZATION
NON-SMOOTH TRUST-REGION METHOD
ROBUST CONTROL
INFINITE-DIMENSIONAL SYSTEM
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ISSN1877-0533
1877-0541
DOI10.1007/s11228-017-0453-4

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Summary:We use a non-smooth trust-region method for H ∞ -control of infinite-dimensional systems. Our method applies in particular to distributed and boundary control of partial differential equations. It is computationally attractive as it avoids the use of system reduction or identification. For illustration the method is applied to control a reaction-convection-diffusion system, a Van de Vusse reactor, and to a cavity flow control problem.
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ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-017-0453-4