<p>To address the problem of high-performance trajectory tracking of a class of uncertain nonlinear systems, this paper proposes a novel proportional-integral-like funnel control (PI-like FC) strategy with rigorous theoretical guarantees. The proposed method retains the prescribed transient performance capabilities inherent to funnel control while introducing an integral action to enhance steady-state accuracy. To mitigate the potential issue caused by integral action, a σ-modification mechanism is incorporated into the control design. The resulting PI-like funnel controller operates without requiring precise system models or detailed knowledge of the nonlinearities, thereby ensuring simplicity in design, ease of implementation, and broad applicability. Rigorous analysis establishes the closed-loop stability and guarantees that the tracking error remains strictly confined within predefined performance bounds. Simulation studies further validate the effectiveness and robustness of the proposed approach in achieving accurate trajectory tracking for uncertain nonlinear systems.</p>