English

Sampled-Data Observer Design for Linear Kuramoto-Sivashinsky Systems with Non-Local Output

Optimization and Control 2022-12-06 v1 Systems and Control Systems and Control

Abstract

The aim of this paper is to provide a novel systematic methodology for the design of sampled-data observers for Linear Kuramoto-Sivashinsky systems (LK-S) with non-local outputs. More precisely, we extend the systematic sampled-data observer design approach which is based on the use of an Inter-Sample output predictor to the class of LK-S systems. By using a small-gain methodology we provide sufficient conditions ensuring the Input-to-Output Stability (IOS) property of the estimation errors in the presence of measurement noise. Our Inter-Sample output predictor contains a tuning term which can enlarge significantly the Maximum Allowable Sampling Period (MASP).

Keywords

Cite

@article{arxiv.2212.01752,
  title  = {Sampled-Data Observer Design for Linear Kuramoto-Sivashinsky Systems with Non-Local Output},
  author = {Iasson Karafyllis and Tarek Ahmed Ali},
  journal= {arXiv preprint arXiv:2212.01752},
  year   = {2022}
}

Comments

11 pages, 1 figure, submitted to Automatica for possible publication

R2 v1 2026-06-28T07:21:25.461Z