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Main Title: Controller design for the Navier-Stokes system. Part I: Concept & numerical results
Author(s): Hinze, Michael
Wachsmuth, Daniel
Type: Research Paper
Abstract: We present a widely applicable construction recipe for closed-loop feedback controllers of nonlinear dynamical systems. Its basic idea consists in approximately solving certain instantaneous optimization problems for the discrete-in-time dynamical system. Easy incorporation of control constraints is one key feature of the recipe. The instationary Navier-Stokes equations serve as model application. In the first part of the work, we introduce the basic construction recipes and present numerical results for several closed-loop feedback control laws derived with the recipe. The stability analysis is contained in the second part of the work.
Subject(s): instantaneous control
closed loop control
Navier-Stokes equations
control constraints
Issue Date: 12-Jun-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49J20 Optimal control problems involving partial differential equations
93B52 Feedback control
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 11
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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