State Estimation for a Class of Linear Systems with Quadratic Output
Abstract
This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a finite number of states to the original system. Under suitable persistence of excitation conditions on the input and its higher derivatives, global state estimation is exhibited by means of a Kalman-type observer. A numerical example is provided to illustrate the applicability of the proposed observer design for the problem of position and velocity estimation for a vehicle navigating in the dimensional Euclidean space using a single position range measurement.
Cite
@article{arxiv.2006.02688,
title = {State Estimation for a Class of Linear Systems with Quadratic Output},
author = {Dionysis Theodosis and Soulaimane Berkane and Dimos V. Dimarogonas},
journal= {arXiv preprint arXiv:2006.02688},
year = {2020}
}
Comments
8 pages, 2 figures, conference; Added references and corrected typos