Partial detectability and generalized functional observer design for linear descriptor systems
Optimization and Control
2023-01-25 v1
Abstract
This paper studies linear time-invariant descriptor systems which are not necessarily regular. We introduce the notion of partial detectability and characterize this concept by means of a simple rank criterion involving the system coefficient matrices. Three particular cases of this characterization are discussed in detail. Furthermore, we show that partial detectability is necessary for the existence of a generalized functional observer, but not sufficient. We identify a condition which together with partial detectability gives sufficiency.
Cite
@article{arxiv.2301.10109,
title = {Partial detectability and generalized functional observer design for linear descriptor systems},
author = {Juhi Jaiswal and Thomas Berger and Nutan Kumar Tomar},
journal= {arXiv preprint arXiv:2301.10109},
year = {2023}
}
Comments
6 pages