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The bias and variance of the estimated model parameters are analysed and a frequency domain bound on the modelling error is estimated.

The average modelling error is 7.64%, forecasting error 14.96%, and random error 7.32%.

But on the other hand, the modelling error is 2.35% and becomes the major part of the forecasting error.

After summing them up to obtain the system results in Fig. 6b, the modelling error is 1.34%, the forecasting error 3.47%, and the random error 2.13%.

The significant increase of the modelling error is due to the low load level and the high fluctuation of substation loads, which has been discussed in Sect.

The modelling error is 1.92%, and the average annual growth rate from 2016 to 2020 for peak load in Shanghai is 2.86%.

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Similar(53)

On the other hand, the approximation error modelling, in which statistical properties of the modelling error are utilised instead of a reference measurement, can be used to obtain as good quality reconstructions as the reference approach.

This is to be expected as modelling error was introduced by reconstructing from the measurements using a coarser mesh than was used to generate them.

In this paper, the robust fault detection filter design problem for uncertain linear time-invariant (LTI) systems with both unknown inputs and modelling errors is studied.

A novel method for the robust identification of interpretable fuzzy models, based on the criterion that identification errors are least sensitive to data uncertainties and modelling errors, is suggested.

At each step of design, a feedback controller strengthened by nonlinear damping terms to counteract modelling errors is designed to guarantee input-to-state practical stability of the corresponding subsystem, and then parameter adaptions are introduced to reduce the ultimate error bound.

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