Moment matching for bilinear systems with nice selections
Optimization and Control
2016-05-17 v1
Abstract
The paper develops a method for model reduction of bilinear control systems. It leans upon the observation that the input-output map of a bilinear system has a particularly simple Fliess series expansion. Subsequently, a model reduction algorithm is formulated such that the coefficients of Fliess series expansion for the original and reduced systems match up to certain predefined sets - nice selections. Algorithms for computing matrix representations of unobservability and reachability spaces complying with a nice selection are provided. Subsequently, they are used for calculating a partial realization of a given input-output map.
Cite
@article{arxiv.1605.04414,
title = {Moment matching for bilinear systems with nice selections},
author = {Mihály Petreczky and Rafael Wisniewski and John Leth},
journal= {arXiv preprint arXiv:1605.04414},
year = {2016}
}
Comments
Extended version of the conference paper accepted to NOLCOS 2016