Event-Triggered prescribed-time prescribed performance Control for High-Order Uncertain Nonlinear Systems

This paper solves the prescribed-time (PT) prescribed-performance (PP) tracking control problem for uncertain nonlinear systems. Conventional methods typically impose strict constraints on the initial tracking error magnitude. Unlike existing works, the conservative condition of prescribed performance tracking control is relaxed as the error is independent of the initial state. Additionally, a novel practical PT control strategy is proposed, guaranteeing that tracking errors converge to a small region within preset time and subsequently maintain within the prescribed performance function envelope. Based on the baskstepping method, we introduce an innovative PT and PP event-triggered control aimed at ensuring tracking control achieves specified transient and steady-state performance levels within preset time while conserving communication bandwidth resources. Furthermore, we rigorously demonstrated through the Lyapunov function that tracking error constraining within a boundary value driven by the controller. Finally, the effectiveness of the proposed algorithm has been verified via simulation.