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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/A96CDD99-DB53-488C-A530-B5A02F81E165 | ||
| Year | 2021 | ||
| Type of Item | Conference Publication | ||
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| Bibliographic Citation | D. Theodosis, S. Berkane, and D. V. Dimarogonas, “State estimation for a class of linear systems with quadratic output,” in 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020, Cambridge, United Kingdom, 2021, vol. 54, no. 9, pp. 261-266, doi: 10.1016/j.ifacol.2021.06.149. https://doi.org/10.1016/j.ifacol.2021.06.149 | ||
| Appears in Collections |
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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