Observer Design for Linear Aperiodic Sampled-Data Systems: A Hybrid Systems Approach
Abstract
Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer is designed. The main peculiarity of the proposed observer consists of the use two output injection terms, one acting at the sampling instants and one providing an intersample injection. The error dynamics are augmented with a timer variable triggering the arrival of a new measurement and analyzed via hybrid system tools. Using Lyapunov theory, sufficient conditions for the convergence of the observer are provided. Relying on those conditions, an optimal LMI-based design is proposed for the observer gains. The effectiveness of the approach is illustrated in an example.
Cite
@article{arxiv.2102.10652,
title = {Observer Design for Linear Aperiodic Sampled-Data Systems: A Hybrid Systems Approach},
author = {Francesco Ferrante and Alexandre Seuret},
journal= {arXiv preprint arXiv:2102.10652},
year = {2021}
}
Comments
V1 is the original submission before peer review. V2 is the peer-reviewed version accepted for publication. V2 includes fixes to minor typos in the early access version of the paper and matches the final printed version to appear in the IEEE Control Systems Letters. V3 includes the link to the published version. V4 includes some missing numerical values in the example