Structure Preserving Moment Matching for Port-Hamiltonian Systems: Arnoldi and LanczosPolyuga, R. V. & Schaft, A. V. D., Jun-2011, In : IEEE Transactions on Automatic Control. 56, 6, p. 1458-1462 5 p.
Research output: Contribution to journal › Article › Academic › peer-review
Structure preserving model reduction of single-input single-output port-Hamiltonian systems is considered by employing the rational Krylov methods. The rational Arnoldi method is shown to preserve (for the reduced order model) not only a specific number of the moments at an arbitrary point in the complex plane but also the port-Hamiltonian structure. Furthermore, it is shown how the rational Lanczos method applied to a subclass of port-Hamiltonian systems, characterized by an algebraic condition, preserves the port-Hamiltonian structure. In fact, for the same subclass of port-Hamiltonian systems the rational Arnoldi method and the rational Lanczos method turn out to be equivalent in the sense of producing reduced order port-Hamiltonian models with the same transfer function.
|Number of pages||5|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Jun-2011|
- Model order reduction, port-Hamiltonian systems, rational Krylov methods, structure preservation, KRYLOV SUBSPACES, ORDER REDUCTION, PASSIVITY
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