Oberseminar "Dynamische Systeme und Kontrolltheorie" - Qidong Li

This talk foucses on the fuzzy prescribed-time control problem for a class of uncertain pure feedback nonlinear systems. Firstly, a new prescribed-time stability lemma is extended, which plays a critical role in stability analysis. Unlike existing prescribed-time control algorithms, the controlled object has unknown nonlinear terms, and the assumption of satisfying a linear growth condition is removed. To compensate for these unknown factors, fuzzy logic systems are introduced. Based on the extended prescribed-time stability lemma, it is proved that the controller and all states of the system converge to the origin within a prescribed-time and remain there. Finally, the effectiveness of the algorithm is validated through a typical pure feedback model.