Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar

Structure preserving model reduction of port-Hamiltonian systems

It is shown that by use of the Kalman-decomposition an uncontrollable and/or unobservable port-Hamiltonian system is reduced to a controllable/observable system that inherits a port-Hamiltonian structure. Energy and co-energy variable representations for port-Hamiltonian systems are discussed and the reduction procedures are used for both representations. For a general portHamiltonian system in...

Effort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems

Port-based network modeling of (lumped-parameter) physical systems leads directly to their representation as port-Hamiltonian systems which are an important class of passive state-space systems. At the same time modeling of physical systems often leads to high-dimensional dy namical models. State-space dimensions are enormously high as well if distributed-parameter models are spatially discreti...

Passivity and Structure Preserving Order Reduction of Linear Port-Hamiltonian Systems Using Krylov Subspaces

Balanced realization and model order reduction for port-Hamiltonian systems

This paper is concerned with nonlinear model order reduction for electro-mechanical systems described by port-Hamiltonian formulae. A novel weighted balacend realization and model order reduction procedure is proposed which preserves port-Hamiltonian structure as well as stability, reachability and observability of the original system. This implies that one can utilize the intrinsic physical pr...

Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems

Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop the framework for model reduction of large-scale multi-input/multioutput port-Hamiltonian systems via tangential rational interpolation. The resulting reduced-order model not only is a rational tangential interpolant but also...