Deformation control of an Euler-Bernoulli beam based on zero-dynamics inverse design and flatness

This paper addresses the problem of deformation control of an Euler-Bernoulli beam with point-wise interior actuation. The method of zero-dynamics inverse design is employed in control synthesis, which allows avoiding early truncations. The method of flat systems is used in the realization of a dynamic control scheme for set-point regulation. The well-posedness and the stability of the considered system are assessed, and the viability of the developed approach is confirmed by numerical simulation.