Gaohua and Kimura (2006) derived an empirical patient model for the manipulation of ambient temper-atureu(∘C) to influence the patient’s brain intra cranial pressure (ICP)y(mm Hg). The medical data support the following empirical values for a first-order-plus-time-delaymodel to describe the effect of cooling temperature (∘C) onthe ICP (mmHg) in time units of hours: G(s)=4.7e−ˢ/(9.6s+1)The nominal values for the process variables are: ICP=20mmHg; ambient temperature=30∘C.(a)Using the IMC tuning rules, derive an appropriate PI con-troller for this medical experiment.. What does that value of ?꜀ mean?(b)Simulate the response of a 10-mmHg reduction in ICP.What is the overshoot? What is the minimum value of the tem-perature? What is the settling time?(c)Comment on whether this is a reasonable controllerdesign for a biomedical application. How might you improvethe design?
Gaohua and Kimura (2006) derived an empirical patient model for the manipulation of ambient temper-atureu(∘C) to influence the patient’s brain intra cranial pressure (ICP)y(mm Hg). The medical data support the following empirical values for a first-order-plus-time-delaymodel to describe the effect of cooling temperature (∘C) onthe ICP (mmHg) in time units of hours: G(s)=4.7e−ˢ/(9.6s+1)The nominal values for the process variables are: ICP=20mmHg; ambient temperature=30∘C.(a)Using the IMC tuning rules, derive an appropriate PI con-troller for this medical experiment.. What does that value of ?꜀ mean?(b)Simulate the response of a 10-mmHg reduction in ICP.What is the overshoot? What is the minimum value of the tem-perature? What is the settling time?(c)Comment on whether this is a reasonable controllerdesign for a biomedical application. How might you improvethe design?
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