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arXiv · 2006.02688

State Estimation for a Class of Linear Systems with Quadratic Output

Dionysis Theodosis·Soulaimane Berkane·Dimos V. Dimarogonas
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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 $n-$dimensional Euclidean space using a single position range measurement.

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Dionysis Theodosis, Soulaimane Berkane, Dimos V. Dimarogonas. 2020-06-04. State Estimation for a Class of Linear Systems with Quadratic Output. https://arxiv.org/abs/2006.02688

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