1. Time-domain moment matching for multiple-input multiple-output linear time-invariant models
- Author
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Shakib, Mohammad Fahim, Scarciotti, Giordano, Pogromsky, Alexander Yu, Pavlov, Alexey, van de Wouw, Nathan, Group Van de Wouw, Dynamics and Control, EIRES, EAISI Foundational, EAISI High Tech Systems, EAISI Mobility, and ICMS Affiliated
- Subjects
Moment matching ,Tangential interpolation ,Control and Systems Engineering ,Model order reduction ,Electrical and Electronic Engineering - Abstract
Model reduction by moment matching for linear time-invariant (LTI) models is a reduction technique that has a clear interpretation in the Laplace domain. In particular, for the multiple-input multiple-output (MIMO) LTI case, Krylov subspace methods aim at matching the transfer-function matrix (and possibly its derivatives) of the reduced-order model to the transfer-function matrix of the full-order model along so-called tangential directions at desired interpolation points. A straightforward application of time-domain moment matching to MIMO LTI models does not result in such a match in the transfer-function matrix. In this paper, we derive a relation between the MIMO transfer-function matrices of the full- and the reduced-order models that follows from the application of time-domain moment matching on MIMO LTI models. This is subsequently exploited to formulate conditions on the parameters of time-domain moment matching under which the transfer-function matrix is matched along tangential directions, thus ensuring consistency with classical Krylov subspace methods.
- Published
- 2023