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Quiz_-AMME3500_AMME8501_AMME3501-Final-Exam.pl - Adobe Reader File Edit Vew Window Help 13 Open 199 176% + Insulin/Glucose dynamics are of fundamental importance for us to understand and develop a treatment for diabetes. 400 Glucose Insulin 200 Pancreas Stomach) Tissue 100 150 Liver Large intestine -Small intestine Liver Tissue 0 50 100 150 Time + [min] Let y(t) be the blood glucose concentration (mg/dL), and u(t) be the O C de A Type here to search -Stomach Pancreas Glucose in blood Glucose [mg/dl] Insulin [µU/ml] msumm O 0 0 100 50 50 ? 70°F កា Tools | Fill & Sign | Comment Sen n ▸ Export PDF ✓ Create PDF P Adobe PDF Pack Curit F and waiywmbine Unwithe file tips with a pai subscription Sci Fi Connet P Secte Edit PDF Combine PDF Send Flies ▸ Store Film 843 PM P
Quiz_-AMME3500_AMME8501_AMME3501-Final-Exam.pl - Adobe Reader File Edit Vew Window Help Open A 13 19 176% 3 + ooooooooo 0 50 100 150 Timet [min] Let y(t) be the blood glucose concentration (mg/dL), and u(t) be the intraperitoneal insulin (U/h). Then from clinical data, the continuous transfer function from u to y is G(s) = -12000(TDI)-¹ (247s+1)(17s+1)² where TDI is a positive constant representing the total daily insulin dose of the patient. (1) Assume y(t) starts from y(0) = 0. Describe the main features that we can expect from the response of y(t) when u(t) is a unit step input. (2) Explain how these features stated in (1) have resulted from the transfer function. (3) Now assume y(t) starts from y(0) = 10 and u (t) = cos(0.5t). Describe the main features that we expect from y (t) in this case. O W X P ? 70°F Type here to search 5 កា Tools | Fill & Sign | Comment Sen n ▸ Export PDF ✓ Create PDF Adobe PDF Pack P Curit F and waiywmbine Unwithe file tips with a pai subscription Sci Fi Connet P Secte Edit PDF Combine PDF Send Flies ▸ Store Film 843 PM P
Quiz_-AMME3500_AMME8501_AMME3501-Final-Exam.pl - Adobe Reader File Edit Vew Window Help Open A 15/19 176% + O 3/ Consider the second-order system = Ar + Bu with https://canvas.sydney.edu.au/courses/41 ... 86692/take 6/6/22, 9:23 AM Quiz: AMME3500_AMME8501_AMME9501 Final Exam 0 ^=( 4₁). 2.), A B = -(²). 3 -1 2 - Design a state feedback controller u = -Kx= [k₁_k₂] so that the closed-loop system has poles placed at -2 + j and -2 - j. Provide your answer for k₁ and k₂ as integers. k₁ = k₂ = In your hand written working, include the following explanations and steps: (1) Can the closed-loop poles be placed at any given positions, and why? O W X P₂ U C d ? Type here to search 70°F 14/19 កា Tools | Fill & Sign | Comment Sen n ▸ Export PDF ✓ Create PDF Adobe PDF Pack P Curit F and waly webine then with the file tops with a pai subscription Sci Fi Connet P Sweet He ▸ Edit PDF Combine PDF Send Flies ▸ Store Film A 100 844 PM P
Quiz_-AMME3500_AMME8501_AMME9501-Final-Exam.pl - Adobe Reader File Edit Vew Window Help Open A 15/19 176% + @ u Design a state feedback controller = -Kx= [k₁ k₂] so that the closed-loop system has poles placed at -2 + j and -2-j. Provide your answer for k₁ and k₂ as integers. k₁ = k2 = In your hand written working, include the following explanations and steps: (1) Can the closed-loop poles be placed at any given positions, and why? (2) Explain the purpose for each step of your design, and present the key analytical working for each step. C ? Type here to search 70°F កា Tools | Fill & Sign | Comment Sen n ▸ Export PDF ✓ Create PDF Adobe PDF Pack P Curit F and waiywmbine Unwithe file tips with a pai subscription Sci Fi Connet P Secte Edit PDF Combine PDF Send Flies D ▸ Store Film 844 PM P