State estimation for a class of linear systems with quadratic output

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State estimation for a class of linear systems with quadratic output (EN)

Θεοδοσης-Παλιμερης Διονυσιος (EL)
Theodosis Dionysios (EN)
Dimarogonas, Dimos (EN)
Berkane Soulaimane (EN)

other
conferenceItem

2021


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. (EN)

Linear system (EN)
Quadratic output (EN)
Observers (EN)
Observability (EN)
State estimation (EN)

24th International Symposium on Mathematical Theory of Networks and Systems (EL)

English

Elsevier (EN)

Πολυτεχνείο Κρήτης (EL)
Technical University of Crete (EN)




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