Abstract
The modeling and control of piezoelectric materials is an important research topic due to their technological feasibility and continuously increasing applicability. In this paper we discuss the spatial discretization of piezoelectric beamsmodeled as infinite dimensional systems in the port-Hamiltonian (pH) framework (energy-based modeling framework). The spatial discretization is performed such that the structure and consequently the physical properties of the infinite dimensional pH model are preserved. The finite dimensional system can then be used for simulation or control design. Furthermore, the spatial discretization scheme can also be used for other infinite dimensional systems, e.g. transmission lines.
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