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Creators/Authors contains: "Sneed, Terry-Ann"

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  1. ; (, 2021 American Control Conference (ACC 2021))
    null (Ed.)
    In an ordinary differential equation represented by a set of state-space equations, the differential of the state vector is given by the values of a vector field evaluated at the values of the state vector. This paper focuses on the reconstruction of this vector field from noisy measurements of the state trajectories generated empirically from a physical process. For this estimation problem, a nonparametric least squares formulation is presented, which is then expressed as a linear quadratic tracking problem with a well known solution from the optimal control theory. This approach is demonstrated for experimental reconstruction of the magnetic force field around a permanent magnet from the motion trajectories of a magnetic particle attracted toward the magnet. 
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