State Estimation for Linear Systems with Quadratic Outputs
Systems and Control
2023-12-19 v1 Systems and Control
Abstract
This letter deals with the problem of state estimation for a class of systems involving linear dynamics with multiple quadratic output measurements. We propose a systematic approach to immerse the original system into a linear time-varying (LTV) system of a higher dimension. The methodology extends the original system by incorporating a minimum number of auxiliary states, ensuring that the resulting extended system exhibits both linear dynamics and linear output. Consequently, any Kalman-type observer can showcase global state estimation, provided the system is uniformly observable.
Cite
@article{arxiv.2312.10684,
title = {State Estimation for Linear Systems with Quadratic Outputs},
author = {Soulaimane Berkane and Dionysis Theodosis and Tarek Hamel and Dimos V. Dimarogonas},
journal= {arXiv preprint arXiv:2312.10684},
year = {2023}
}
Comments
IEEE Control Systems Letters