Optimal control of non linear respiratory system with performance function involving non linear terms

The study was aimed to clarify the effects of the nonlinearity in the respiratory system and of the minimization of nonlinear terms as the criterion to evaluate the optimality in the system. The increase in nonlinear resistive component elevated the pressure and depressed the flow. Intense minimization of the linear and nonlinear terms involving the absolute driving airway pressure depressed rapid increase in pressure and peak flow rate. They have a greater effect on airway pressure and flow than any other terms such as absolute lung volume, its rate of change, the rate of change in pressure, or their related nonlinear terms. These nonlinear factors are necessary and indispensable to be controlled to produce physiological respiration.