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Drowsiness significantly increases the risk of accidents and degrades the driver's performance by reducing attention and concentration. Various fatigue driving detection studies and technologies have been proposed, but few of them have thoroughly assessed the efficacy of sleep-based recovery techniques. This study investigates whether a controlled Power Nap may successfully improve fatigue-related driving performance. A total of 10 participants responded to lane deviation events throughout three sessions of driving in a driving simulator, which are regular driving, fatigue driving brought on by extended cognitive demands and post-rest driving conducted after finishing both the fatigue driving session and a controlled Power Nap. Lane deviation events were simulated by controlled steering wheel perturbation. Subjects' reaction time to lane deviation events were used as an indicator of fatigue level. We minimized sleep inertia by monitoring sleep stages and ensuring naps stayed in non-deep sleep phases using an EEG-based Powernap mobile application. Statistical analysis revealed a significant increase in reaction time after fatigue induction <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(\mathrm{t}(9)=10.99, \mathrm{p}<0.001)$</tex>, and a significant reduction following the Power Nap <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(\mathrm{t}(9)=8.26, \mathrm{p}<0.001)$</tex>. The results show that the suggested mobile nap system successfully lowered reaction times to nearly normal levels. These results support the idea that short, controlled naps that follow the Intelligent Rest Strategies can speed up recuperation from sleep-related exhaustion and improve road safety.