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Flatness-based control of a Timoshenko beam

Simon Schmidt, Nicole Gehring, Abdurrahman Irscheid

arXiv:2603.29490Published March 31, 2026Updated April 1, 20260 citations
  • eess.SY
  • math.OC
  • trajectory

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.

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