In addition, some information of the future value of random disturbance term in regression analysis is delivered by complex model, so that the forecasting accuracy is improved.

The control law includes the integration term which not only eliminates the constant disturbance due to the inclined rail but also assures the cart of following the given reference position.

Using singular perturbation model, by the example of a simple power system losing stability in big disturbance, this paper analyses the mid-long term instability mechanisms affected by slow dynamics.