FLB_transfer_functionΒΆ
Returns an interpolatory state-space model based on the transfer function method [1]. This method is applicable to frequency limited balanced state-space models only.
Features:
- stability preserved
- the interpolated state-space model has the same size than the tabulated ones
- all state-space models, need to have the same size and the same numbers of hankel singular values.
- suitable for any ROM
param SS_list: | List of state-space models instances of |
---|---|
type SS_list: | list |
param wv: | list of interpolatory weights. |
type wv: | list |
param U_list: | small size, thin SVD factors of Gramians square roots of each state space model (\(\mathbf{U}\)). |
type U_list: | list |
param VT_list: | small size, thin SVD factors of Gramians square roots of each state space model (\(\mathbf{V}^\top\)). |
type VT_list: | list |
param hsv_list: | small size, thin SVD factors of Gramians square roots of each state space model. If
where |
type hsv_list: | list |
param M_list: | for fast on-line evaluation. Small size product of Gramians
factors of each state-space model. Each element of this list is equal to:
|
type M_list: | list |
Notes
Message for future generations:
- the implementation is divided into an offline and online part.
References:
Maraniello S. and Palacios R., Frequency-limited balanced truncation for parametric reduced-order modelling of the UVLM. Only in the best theaters.
See also
Frequency-Limited Balanced ROMs may be obtained from SHARPy using sharpy.rom.balanced.FrequencyLimited
.