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Then, an adaptive compensation controller is constructed by utilizing the backstepping technique.
The observer gains are determined by utilizing the backstepping technique, which enables to stabilize the distributed parameter observer error dynamics.
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By introducing the radial basis function neural network (RBFNN) approximation method, utilizing the backstepping method and choosing an approximate Lyapunov function, we construct an adaptive state-feedback controller which assures the closed-loop system to be mean square semi-global-uniformly ultimately bounded (M-SGUUB).
By utilizing the stochastic small-gain theorem and the backstepping recursive design procedure, a robust adaptive output feedback control scheme is then proposed.
By utilizing the fuzzy state observer, and combining the adaptive backstepping technique with adaptive fuzzy control design, an observer-based adaptive fuzzy output-feedback control approach is developed.
By utilizing the adaptive dynamic surface control (ADSC) technique, the problem of "explosion of complexity" inherently in the traditional adaptive backstepping design can be overcome.
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In this paper, a method of synchronization of two different chaotic systems with matched and mismatched perturbations are developed by utilizing adaptive backstepping control technique.
By utilizing backstepping coordinates it is shown that all design equations are explicitly solvable.
The control objective of angular velocity trajectory tracking is achieved by designing a controller for cascaded Buck converter PMDC motor system by utilizing an adaptive backstepping methodology augmented with a new Type-II Chebyshev neural network (CNN).
The new result is facilitated by the introduction of change to the ship position, several nonlinear coordinate changes, the backstepping technique, and utilizing the ship dynamic structure.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com