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arXiv · 2002.07567

Boundary feedback control of an anti-stable wave equation

Pierre Apkarian·Dominikus Noll
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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 which 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.

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Pierre Apkarian, Dominikus Noll. 2020-02-18. Boundary feedback control of an anti-stable wave equation. https://arxiv.org/abs/2002.07567

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