An automatic control system is proposed for respiratory failure patients under artificial ventilation. The whole control system is designed as a 2-input 2-output system based on an adaptive pole-assignment method. In this study, ventilation rate and inspired O
2 tension are chosen as the input values, alveolar CO
2 tension and arterial O
2 saturation as the controlled values. The control system is divided into two subsystems: one is the control system of alveolar CO
2 tension and the other is the control system of arterial O
2 saturation. It is not so difficult to control alveolar CO
2 tension, because the dynamic characteristics of alveolar CO
2 tension are described as a 1-input 1-output system. On the other hand, it is rather difficult to control arterial O
2 saturation, because the dynamic characteristics of arterial O
2 saturation are described as a 2-input 1-output system, including the cross effects of ventilation rate and inspired O
2 tension on arterial O
2 saturation. Hereby, the dynamic characteristics of arterial O
2 saturation are assumed to be represented by a 2-input 1-output mathematical model. Then, the effect of ventilation rate on arterial O
2 saturation is regarded as an offset term. In which case, the proposed method makes the control system of arterial O
2 saturation a 1-input 1-output system including the effect of ventilation rate. The effectiveness of the proposed control system is confirmed using a dynamic mathematical model of a human respiratory system, in both conditions of rest and a changing metabolic state..
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