Flatness-based control of a Timoshenko beam

TL;DR

This paper introduces a flatness-based control method for a Timoshenko beam, simplifying controller design and demonstrating effective trajectory tracking and stability through simulations.

Contribution

It presents a novel flatness-based control approach using hyperbolic controller form for Timoshenko beams, enhancing control design simplicity.

Findings

Successful trajectory tracking in simulations

Closed-loop stability achieved

Simplified control design process

Abstract

The paper presents an approach to flatness-based control design for hyperbolic multi-input systems, building upon the hyperbolic controller form (HCF). The transformation into HCF yields a simplified system representation that considerably facilitates the design of state feedback controllers for trajectory tracking. The proposed concept is demonstrated for a Timoshenko beam and validated through numerical simulations, demonstrating trajectory tracking and closed-loop stability.