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Neuro‐adaptive fractional order prescribed performance backstepping control for a class of strict‐feedback non‐linear systems
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Neuro‐adaptive fractional order prescribed performance backstepping control for a class of strict‐feedback non‐linear systems
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Journal Article
Neuro‐adaptive fractional order prescribed performance backstepping control for a class of strict‐feedback non‐linear systems
2025
Overview
To suppress the non‐linear motion for a class of strict‐feedback fractional order non‐linear systems, and to improve their transient and steady‐state performance, a neuro‐adaptive prescribed performance backstepping control strategy suitable for a class of strict‐feedback non‐linear systems is proposed in this paper. Firstly, the interval Type‐2 fuzzy neural network is constructed to approximate the unknown non‐linear functions. Secondly, the tracking differentiator is introduced to address the problem of ‘explosion of complexity’ associated with the technique framework of backstepping. Then, a prescribed performance backstepping controller composed of predetermined performance functions and equivalent transformed errors, which can ensure that the tracking errors converge with the predetermined performance intervals for a class of strict‐feedback non‐linear systems, is designed within the technique framework of backstepping control. Finally, the stability analysis, two simulation experiments and comparative experiment results are presented to demonstrate the feasibility and effectiveness of the designed controller. A neuro‐adaptive FO prescribed performance backstepping control strategy is performed by using a predetermined performance function with a backstepping control technique to suppress non‐linear motion and improve the transient and steady‐state performance of the controlled object. This control strategy not only can ensure all the signals in their non‐linear systems to be uniform ultimate boundedness but also guarantees the tracking errors not to transgress the predetermined performance intervals.
Publisher
John Wiley & Sons, Inc
