Abstract
The current work presents the design and evaluation of setpoint controllers for flexible structures modeled by the Finite Element (FE) method. Since FE models consist of a high number of states, model order reduction techniques are necessary to design a control based on only a few states of the FE model. The methodology proposed in this document consists of two stages: In the first one, the modal and balanced transformations are used to obtain the reduced-order models. In the second stage, a setpoint controller based on the robust servo problem for flexible structure deformation is presented. To show the performance of each of the reduced models and their respective controllers, simulations of 1D and 2D FE systems are performed, where the setpoint controller is employed to control a subset of system nodes of a fixed beam and a linear elastic model to achieve the desired displacement.
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