Stabilization and control of a flexible structure continuum model

In this paper the stabilization problem for a flexible slewing link is considered, leading to some interesting considerations about the use of positive real compensators. By modelling the structure motion as a set of first order differential equations on a proper Hilbert space, the authors study this problem in an infinite-dimensional setting by following two approaches. In the first one standard results on semigroups theory are considered, while in the second the authors use passivity arguments, directly related to the classical Lyapunov direct method. Control applications such as set-point motion and LQR are finally reviewed