Adaptive Fixed-Time Switching Threshold Control for Uncertain Nonlinear Systems with Unknown Control Coefficients

This paper mainly focuses on the fixed-time stable control problem of a class of uncertain nonlinear systems with unknown control coefficients. In order to address the identification of unknown functions within the system, a fuzzy logic system is employed to estimate the unspecified nonlinear components and then via backstepping approach to collaboratively design event-triggered strategy and event-triggered controller. The controller designed in this article can ensure that the tracking error converges to the area near the origin within a fixed time and other signals are bounded, while ensuring that Zeno phenomenon does not exist. The addition of event-triggered strategy saves communication resources and enhances the robustness of the system. Finally, a numerical simulation example is given to prove the effectiveness of the control theory proposed in this paper.