Balanced realization and model reduction of port-Hamiltonian systems

This paper is concerned with nonlinear model reduction for electro-mechanical systems described by port-Hamiltonian formulae. A novel weighted balanced realization and model 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 properties such as physical energy and the corresponding dissipativity for the reduced order model. Further, the proposed method reduces the computational effort in solving partial differential equations for nonlinear balanced realization. A numerical simulation shows how the proposed method works.