Question 2. A combination of two drugs (hydrochlorothiazide and oxybutynin) is commonly used to regulate blood pressure in elderly patients. These two drugs mainly affect two physiological variables of the patient (blood pressure and urine production rate). Since the goal is to regulate both variables with these two drugs, interaction analysis has to be performed to design a control scheme. For the following model there are two inputs and two outputs: [₂₁] = -0.04e-0.15 0.11s +1 0.22 0.12s + 1 where: yı-normalized (dimensionless) blood pressure y2-normalized urine production rate u₁=rate of hydrochlorothiazide ingestion u2=rate of oxybutynin ingestion (a) (b) 0.0005e-0.15s- 0.21s + 1 -0.02 0.21s +1 Calculate the relative gain array What loop pairing would you suggest? [4₂]
Question 2. A combination of two drugs (hydrochlorothiazide and oxybutynin) is commonly used to regulate blood pressure in elderly patients. These two drugs mainly affect two physiological variables of the patient (blood pressure and urine production rate). Since the goal is to regulate both variables with these two drugs, interaction analysis has to be performed to design a control scheme. For the following model there are two inputs and two outputs: [₂₁] = -0.04e-0.15 0.11s +1 0.22 0.12s + 1 where: yı-normalized (dimensionless) blood pressure y2-normalized urine production rate u₁=rate of hydrochlorothiazide ingestion u2=rate of oxybutynin ingestion (a) (b) 0.0005e-0.15s- 0.21s + 1 -0.02 0.21s +1 Calculate the relative gain array What loop pairing would you suggest? [4₂]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Question 2.
A combination of two drugs (hydrochlorothiazide and oxybutynin) is commonly used to
regulate blood pressure in elderly patients. These two drugs mainly affect two
physiological variables of the patient (blood pressure and urine production rate). Since
the goal is to regulate both variables with these two drugs, interaction analysis has to be
performed to design a control scheme. For the following model there are two inputs and
two outputs:
[₁]
=
-0.04e-0.1
0.11s + 1
0.22
0.12s + 1
where:
yı-normalized (dimensionless) blood pressure
y2-normalized urine production rate
u₁=rate of hydrochlorothiazide ingestion
u2=rate of oxybutynin ingestion
(a) Calculate the relative gain array
(b)
0.0005e-0.15s-
0.21s + 1
-0.02
0.21s + 1
What loop pairing would you suggest?
[u₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1d184f3-5af6-4008-97aa-5cc87460e1c3%2F3215582f-b0ca-4b98-8b20-ecd5bf6a8bd8%2Fyqv17md_processed.png&w=3840&q=75)
Transcribed Image Text:Question 2.
A combination of two drugs (hydrochlorothiazide and oxybutynin) is commonly used to
regulate blood pressure in elderly patients. These two drugs mainly affect two
physiological variables of the patient (blood pressure and urine production rate). Since
the goal is to regulate both variables with these two drugs, interaction analysis has to be
performed to design a control scheme. For the following model there are two inputs and
two outputs:
[₁]
=
-0.04e-0.1
0.11s + 1
0.22
0.12s + 1
where:
yı-normalized (dimensionless) blood pressure
y2-normalized urine production rate
u₁=rate of hydrochlorothiazide ingestion
u2=rate of oxybutynin ingestion
(a) Calculate the relative gain array
(b)
0.0005e-0.15s-
0.21s + 1
-0.02
0.21s + 1
What loop pairing would you suggest?
[u₂.
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