Non-collocated feedback stabilization of a non-uniform Euler-Bernoulli beam with in-domain actuation

For the stabilization of a flexible beam actuated by piezoelectric patches a Lyapunov-based control strategy is presented in terms of a non-collocated dynamic output feedback control. Thereby, a distributed-parameter Luenberger observer is incorporated to provide an estimate of the variables required by the control law. Besides the proof of asymptotic stability of the closed-loop system, the derived control concept is validated by experimental results.