There is a growing need for controller design techniques for systems described by partial differential equations. For instance, for suppression of vibrations in large wings of a windmill or in the wafer stage. In order to develop these techniques, mathematical and physical insight in the models is needed. Port-Hamiltonian models capture the underlying physics, and have at the same time good mathematical properties. The coming years the work on controller design for this class of system will be further extended to non-linear and to descriptor systems, i.e., implicit partial differential equations. Of course for the implementation and testing of the designed controller the results and tools from topic 1 (Structure preserving numerical discretization) will be used.
People working on this subject within SACS are:
Post Doc / PhD / Young Researcher