In the context of critical medical equipment, particularly ventilators, the Corona Virus Disease 2019 (COVID-19) pandemic has heightened the importance of reliable respiratory support systems. Ventilators, designed to aid patient breathing, confront the challenge of delivering consistent air pressure and flow. This study explores the effectiveness of two control methods in ventilator systems: conventional Proportional-Integral-Derivative (PID) control and an advanced nonlinear PID control. The former employs a fixed formula for system regulation, while the latter adopts an adaptive mechanism, offering potential improvements in responsiveness to patient-specific needs. This investigation centers on the formulation and generalization of a robust, calculus-based controller for ventilators, with a particular focus on the nonlinear control method. The efficiency of these control methods in ventilator units was assessed, comparing traditional PID and nonlinear PID controllers. It was found that both methods exhibited an equivalent error percentage between reference and actual air pressures, quantified at approximately 0.94 mbar. This similarity highlights the effectiveness of the nonlinear PID controller, matching the precision of the traditional approach. Crucially, the nonlinear PID controller demonstrated a faster response time, indicating an enhanced capability for rapid adjustments in response to sudden patient demand changes. This feature is particularly significant in critical care environments, where swift adaptation of ventilator settings is essential for patient safety. The study emphasizes the control systems of ventilators, rather than their complete mechanical design, with the term 'error' specifically referring to the variance between desired and actual air pressures. The results of this research suggest that the nonlinear PID controller represents a significant advancement over existing methods. Its rapid response capabilities offer a promising avenue for improving patient safety and adaptability in challenging clinical scenarios. The investigation underscores the potential of nonlinear PID control in ventilator systems, positioning it as a superior alternative in specific medical contexts. This work contributes to the ongoing development of more responsive and patient-tailored approaches in mechanical ventilation, highlighting the convergence of advanced control theory and practical healthcare applications.