abstract
- © 2022 Elsevier LtdWe study the control design for a clinical positive-pressure ventilation device. We present a non-linear and linearized models of the positive-pressure ventilator, which are validated by means of clinical tests performed with four human patients. We propose a unified stochastic differential equation (SDE) with switching-regime-dependent drift and diffusion terms to combine both inspiratory and expiratory cycles into a unique dynamical system. The switching is determined by time-varying jump intensities letting the in-charge physician to establish the appropriate frequency of the patient breathing. We semi-explicitly design a stochastic optimal control of mean-field type that guarantees convergence of the pressure while minimizing risk terms associated to the uncertainty measurements and model imperfections.