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Robust Stabilization of the Navier–Stokes Equation via the H-Control Theory

  • Viorel Barbu
Part of the Communications and Control Engineering book series (CCE)

Abstract

Since most of the fluid dynamic systems are subject to uncertainties and external disturbances, a major problem is the design of feedback controllers which achieve asymptotic stability not only for a nominal system (which is only partially known) but also for an entire set of systems covering a neighborhood of the given system. Such a control is called robust and the H -control theory provides an efficient and popular approach to this question. We discuss in some details the H -control problem for the stabilization problems studied in Chap. 3. We begin with a general presentation and some basic results on the H -control problem for linear infinite-dimensional systems.

Keywords

Control Problem Hamiltonian System Invariant Manifold Feedback Controller Mild Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Fac. MathematicsAl. I. Cuza UniversityIaşiRomania

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