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.
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Barbu, V. (2011). Robust Stabilization of the Navier–Stokes Equation via the H ∞-Control Theory. In: Stabilization of Navier–Stokes Flows. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-043-4_5
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DOI: https://doi.org/10.1007/978-0-85729-043-4_5
Publisher Name: Springer, London
Print ISBN: 978-0-85729-042-7
Online ISBN: 978-0-85729-043-4
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