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arXiv · 2001.05742

Boundary stabilization of systems of high order PDEs arising from flexible robotics

Andrea Cristofaro·Francesco Ferrante
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Abstract

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of flexible mechanical systems. A linear feedback controller is proposed, and using an abstract formulation based on operator semigroup theory, we are able to prove the well-posedness and the stability of the closed-loop system. The performances of the proposed controller are illustrated by means of numerical simulations.

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Andrea Cristofaro, Francesco Ferrante. 2020-01-16. Boundary stabilization of systems of high order PDEs arising from flexible robotics. https://arxiv.org/abs/2001.05742

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