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arXiv · 2010.13417

Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity

Swann Marx·Lucas Brivadis·Daniele Astolfi
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Abstract

We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which is controlled via a cone-bounded nonlinearity. The unforced transport equation is conservative but not asymptotically stable. The proposed technique is inspired by the forwarding approach early introduced in the 90's. Well-posedness and asymptotic stability of the closed-loop system are discussed.

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Swann Marx, Lucas Brivadis, Daniele Astolfi. 2020-10-26. Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity. https://arxiv.org/abs/2010.13417

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