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Fast Closed Loop Control of the Navier-Stokes System

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Michael Hinze

    (Technische Universität Dresden, Institut für Numerische Mathematik)

  • Daniel Wachsmuth

    (Technische Universität Berlin, Institut für Mathematik)

Abstract

Summary We present a construction recipe for closed-loop feedback control of the time-dependent Navier-Stokes system. 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. We state stabilizing properties of the controllers which we confirm by numerical tests.

Suggested Citation

  • Michael Hinze & Daniel Wachsmuth, 2005. "Fast Closed Loop Control of the Navier-Stokes System," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 189-201, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27170-3_15
    DOI: 10.1007/3-540-27170-8_15
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