TY  - JOUR
AB  - Purpose The purpose of this paper is to propose an interpolation-based projection framework for model reduction of quadratic-bilinear systems. The approach constructs projection matrices from the bilinear part of the original quadratic-bilinear descriptor system and uses these matrices to project the original system.Design/methodology/approach The projection matrices are constructed by viewing the bilinear system as a linear parametric system, where the input associated with the bilinear part is treated as a parameter. The advantage of this approach is that the projection matrices can be constructed reliably by using an a posteriori error bound for linear parametric systems. The use of the error bound allows us to select a good choice of interpolation points and parameter samples for the construction of the projection matrices by using a greedy-type framework.Findings The results are compared with the standard quadratic-bilinear projection methods and it is observed that the approximations through the proposed method are comparable to the standard method but at a lower computational cost (offline time).Originality/value In addition to the proposed model order reduction framework, the authors extend the one-sided moment matching parametric model order reduction (PMOR) method to a two-sided method that doubles the number of moments matched in the PMOR method.
VL  - 36
IS  - 1
SN  - 0264-4401
DO  - 10.1108/EC-04-2018-0162
UR  - https://doi.org/10.1108/EC-04-2018-0162
AU  - Ahmad Mian Ilyas
AU  - Benner Peter
AU  - Feng Lihong
PY  - 2019
Y1  - 2019/01/01
TI  - Interpolatory model reduction for quadratic-bilinear systems using error estimators
T2  - Engineering Computations
PB  - Emerald Publishing Limited
SP  - 25
EP  - 44
Y2  - 2024/04/20
ER  -