Boundary feedback control of an anti-stable wave equation

Boundary feedback control of an anti-stable wave equation

Abstract We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control t...

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Veröffentlicht in:IMA journal of mathematical control and information 2020-12, Vol.37 (4), p.1367-1399
Hauptverfasser: APKARIAN, Pierre, NOLL, Dominikus
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
Engineering Sciences
Physics
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Zusammenfassung:Abstract We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnaa017