A Novel Approach to Set-Membership Observer for Systems with Unknown Exogenous Inputs
Systems and Control
2023-01-02 v1 Systems and Control
Abstract
Motivated by the increasing need to monitor safety-critical systems subject to uncertainties, a novel set-membership approach is proposed to estimate the state of a dynamical system with unknown-but-bounded exogenous inputs. The proposed method decomposes the system into the strongly observable and weakly unobservable subsystem in which an unknown input observer and an ellipsoidal set-membership observer are designed for each subsystem, respectively. The conditions for the boundedness of the proposed set estimate are discussed, and the proposed set-membership observer is also tested numerically using illustrative examples.
Cite
@article{arxiv.2210.10927,
title = {A Novel Approach to Set-Membership Observer for Systems with Unknown Exogenous Inputs},
author = {Marvin Jesse and Dawei Sun and Inseok Hwang},
journal= {arXiv preprint arXiv:2210.10927},
year = {2023}
}