Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities
Optimization and Control
2019-10-10 v1
Abstract
We study state estimation for nonlinear differential-algebraic systems, where the nonlinearity satisfies a Lipschitz condition or a generalized monotonicity condition or a combination of these. The presented observer design unifies earlier approaches and extends the standard Luenberger type observer design. The design parameters of the observer can be obtained from the solution of a linear matrix inequality restricted to a subspace determined by the Wong sequences. Some illustrative examples and a comparative discussion are given.
Keywords
Cite
@article{arxiv.1910.03873,
title = {Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities},
author = {Thomas Berger and Lukas Lanza},
journal= {arXiv preprint arXiv:1910.03873},
year = {2019}
}