Little things make big things happen:
Model reduction on manifolds of port-Hamiltonian systems
Organization:
Funded by: | NWO |
PhD: |  |
Supervisors: | Promotor & daily supervisor:  Daily Supervisor:  |
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Description:
Port-Hamiltonian (pH) systems arise in many practical applications like network modelling and soft robot control. They admit desirable physical properties such as, e.g., passivity and energy conservation, but often lack closed-form solutions. Thus, one needs to solve high-dimensional state-space models, which require extensive computational resources. To accelerate these computations for pH systems, we use model order reduction (MOR). However, classical linear-subspace MOR methods may not provide sufficient approximation quality, so we investigate an approach designing reduced order models (ROMs) on manifolds. In order to retain the physical properties of the pH systems in the ROM, which is in general not guaranteed, we develop structure-preserving MOR methods on manifolds for pH systems.
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