Adaptive Event‐Triggered Global Tracking Control With Prescribed Performance for High‐Order Nonlinear Systems With Time‐Varying Powers

ABSTRACT The global adaptive tracking problem for a class of high‐order nonlinear systems with time‐varying powers is considered in the frame of event‐triggered control and prescribed performance methods. A novel error transformation is introduced, distinct from existing approaches, eliminating the constraint on the initial state. To mitigate the risk of tracking error exceeding the prescribed range, a modified performance function is defined, allowing temporary deviation from the prescribed performance. An event‐triggered controller is formulated to ensure that the tracking error can converge to a predefined range within a specified settling time. The validity of the proposed scheme is illustrated by an example.