3 research outputs found
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems
We propose a projection based multi-moment matching method for model order
reduction of quadratic-bilinear systems. The goal is to construct a reduced
system that ensures higher-order moment matching for the multivariate transfer
functions appearing in the input-output representation of the nonlinear system.
An existing technique achieves this for the first two multivariate transfer
functions, in what is called the symmetric form of the multivariate transfer
functions. We extend this framework to an equivalent and simplified form, the
regular form, which allows us to show moment matching for the first three
multivariate transfer functions. Numerical results for three benchmark examples
of quadratic-bilinear systems show that the proposed framework exhibits better
performance with reduced computational cost in comparison to existing
techniques.Comment: 19 pages, 11 subfigures in 6 figures, Journa