Maximum likelihood trajectory for the velocity of an artillery shell in free-flight

R Séailles (1) , Nicolas Petit (2)

1 Mines Paris - PSL (École nationale supérieure des mines de Paris)
2 CAS - Centre Automatique et Systèmes

The paper considers the problem of determining the translational velocity of an artillery shell from noisy information. To optimize the smoothness of the estimate which is to be used in a attitude observer through an analysis of its slope, the unknown is sought after under the form of an element of a family of possible curves, solely parameterized by their initial condition. The nonlinear dynamics of the velocity being a contraction, it is shown that a measurement bias is observable. The estimator statistical properties are studied when the number of measurement is increased.

Mots clés: velocity estimation; onboard sensors; maximum likelihood estimation; causal estimator

Domaines: Automatique / Robotique

R Séailles, Nicolas Petit. Maximum likelihood trajectory for the velocity of an artillery shell in free-flight. [Research Report] Mines ParisTech - Ecole des mines de Paris. 2021. ⟨hal-03216640⟩