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These approaches used the linear errors estimated by KF as candidates for the model.
Correction begins with separately calculation and cancelation of the nonlinear and linear errors respectively.
The main idea is to construct a nonlinear observer with linear errors, which has an adjustable and robust convergence.
Such techniques focus on using KF as an estimator for the sensor linear errors which represent the candidates for adopted FOS to model sensor nonlinear errors.
However, in the accuracy design process of the UPM, the linear errors and angular errors should be independently treated for its higher accuracy target than common machine tools.
During GPS outage, the linear errors required for the model to estimate the nonlinear errors are delivered from KF in prediction mode with a lack of its GPS updates.
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For nonlinear functions one can linearize the function and use the linear error propagation approximation.
Notions of functional observer linearization are also formulated, in terms of achieving exactly linear error dynamics in transformed coordinates and with prescribed rate of decay of the error.
The paper studies a linear errors-in-variables model with first order autoregressive processes.
Consider the following linear errors-in-variables (EV) model: { y t = x t T β + ε t, X t = x t + ζ t, t = 1, 2, …, n, (1.1).
Recently, linear errors-in-variables models with serially correlated errors have attracted increasing attention from statisticians; see, for example, Baran [14], Fan et al. [15], Miao et al. [16], among others.
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