Fixed‐time event‐triggered controller of a state‐constrained nonlinear system: A zero‐error tracking control approach

Abstract In this article, an event‐triggered zero‐error adaptive output tracking controller with fixed‐time convergence mode is designed for a kind of uncertain nonlinear systems under full‐state constraints, unknown control coefficients, input dead‐zone, and saturation. The constrainedly practically fixed‐time stability is investigated for the considered high‐order nonlinear system. Then applying the barrier Lyapunov function technology and blending an error transformation into backstepping scheme, the Nussbaum‐gain‐based adaptive fuzzy control is proposed with prescribed performance. The control process consists of two phases, among which the first phase is used to render tracking error into the preset adjustable residual set within a preassigned fixed time at a prescribed decay rate, and the second phase further force the tracking error to converge to zero asymptotically. Additionally, the desired full‐state constraints are not violated in the whole control process. The simulation results are also given to show the effectiveness of the designed control method