Iterative learning control of deflections in vibrating beam

The paper discuss an effective approach to iterative learning control synthesis for a class of distributed parameter systems described by partial differential equations with biharmonic operator. The study is carried out based on the example of transverse displacements in a cantilever beam induced by the external loads. The sufficient conditions for the convergence of the proposed iterative control law are formulated. Also, the resulting control learning scheme supported by effective implementation based on the finite element method was investigated subject to the different configurations of actuator/sensor field.