Fuzzy Prescribed-Time Control for Uncertain Nonlinear Pure Feedback Systems

Dear Editor, This letter investigates the fuzzy prescribed-time control (PTC) problem for a class of uncertain pure feedback nonlinear systems. Firstly, a novel prescribed-time stability lemma is introduced, which plays a critical role in stability analysis. Unlike existing PTC algoritlims, where the nonlinear functions are typically known or satisfy a linear growth condition, our approach does not require such assumptions. To address these unknown factors, fuzzy logic systems (FLS-s) are employed. Based on the new prescribed-time stability lemma, it is proven that the controller and al system states converge to the origin within the prescribed time and remain there. Finally, the effectrveness of the proposed algorithm is validated through a simulation example.