We introduce a novel method of model reduction for nonlinear systems by extending the Loewner framework developed for linear time-invariant systems. This objective is achieved by defining Loewner functions obtained by utilizing a state-space interpretation of the Loewner matrices. A Loewner equivalent model using these functions is derived. This allows constructing reduced order models achieving interpolation in the Loewner sense.
Simard, J.d., Astolfi, A. (2021). Nonlinear Model Reduction in the Loewner Framework. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 66(12), 5711-5726 [10.1109/TAC.2021.3110809].
Nonlinear Model Reduction in the Loewner Framework
Astolfi A.
2021-12-01
Abstract
We introduce a novel method of model reduction for nonlinear systems by extending the Loewner framework developed for linear time-invariant systems. This objective is achieved by defining Loewner functions obtained by utilizing a state-space interpretation of the Loewner matrices. A Loewner equivalent model using these functions is derived. This allows constructing reduced order models achieving interpolation in the Loewner sense.File in questo prodotto:
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