Based on two stiffly-coupled beams a non-standard approach of modelling and control is introduced, which is based on a descriptor representation of the system. A differential-algebraic model of the mechanical system can be derived intuitively, which directly serves for feedback design. The main contribution of this work is the presentation of a suitable parametric control law in terms of the full set of descriptor states. It is based on a classical coupling control and explicitly shows all degrees of freedom for feedback design. Exemplarily, damping assignment for the two-beam system is performed and some numerical and experimental results are provided for validation.

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