  This paper addresses the problem of deformation control of an Euler-Bernoulli
beam with in-domain actuation. The proposed control scheme consists in first
relating the system model described by an inhomogeneous partial differential
equation to a target system under a standard boundary control form. Then, a
combination of closed-loop feedback control and flatness-based motion planning
is used for stabilizing the closed-loop system around reference trajectories.
The validity of the proposed method is assessed through well-posedness and
stability analysis of the considered systems. The performance of the developed
control scheme is demonstrated through numerical simulations of a
representative micro-beam.
