• NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES

ISSN: 2705 - 3997
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Vol. 6 No. 1 (2023): The Reality of Women in Science

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Estimation of Velocity of a Frictionless Motion of a Truck on an Infinitely Long Straight Rail

Authors

  • Ogwola, P.
    Department of Mathematics, Nasarawa State University, Keffi, Nigeria


  • Sullayman, M. B.
    Department of Mathematics, Nasarawa State University, Keffi, Nigeria



Abstract

This paper is concerned with estimation of velocity of a frictionless motion of a truck on an infinitely long straight rail. For simplicity assume that the Truck is controlled only by the throttle producing an accelerative force per unit mass. A discrete dynamic model of first order difference equation is to describe the system. Kalman filtering technique is applied to the discrete dynamic model to estimate the velocity of the Truck at any particular time. A computer programme is developed to simulate the system.

Keywords: Kalman filter, Modelling, Estimation, Distance, Velocity