Flatness-based control of a Timoshenko beam
This work addresses control design for hyperbolic systems like beams, but it is incremental as it builds on existing hyperbolic controller forms.
The paper tackled the problem of controlling hyperbolic multi-input systems, specifically a Timoshenko beam, by developing a flatness-based control design approach, resulting in successful trajectory tracking and closed-loop stability as validated through numerical simulations.
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.