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This is achieved by generalizing the backstepping approach originally developed for boundary controlled systems by means of an additional state transform that associates the system under consideration with an equivalent boundary controlled system.
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The process of extrapolating each shape up one dimension is what he means by "generalizing to higher dimensions".
This result has generalized the equation obtained by Curless.
The method here generalizes the one proposed by Liu and Dean [2004. k-circulant supersaturated designs.
The state feedback is designed by using the backstepping method.
In this part, we will give the detailed procedure of the adaptive NN controller design by using the backstepping control approach.
In Section 3, as the main part of this note, an adaptive controller and tuning functions are designed by using the backstepping method for fractional-order nonlinear systems.
By applying the backstepping design techniques, a fuzzy adaptive output feedback control is constructed recursively.
Then, an adaptive compensation controller is constructed by utilizing the backstepping technique.
By using the backstepping method, a vibration control scheme is designed to regulate the satellite's vibration.
The discrete control law is designed by using the backstepping method to make the system uniform stable.
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