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7:46 3 of 4 7 cdn.discordapp.com Assignment 5 ENGR 447-01 Control Systems 22. In the past, Type-1 diabetes patients had
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7:46 3 of 4 7 cdn.discordapp.com Assignment 5 ENGR 447-01 Control Systems 22. In the past, Type-1 diabetes patients had
7:46 3 of 4 7 cdn.discordapp.com Assignment 5 ENGR 447-01 Control Systems 22. In the past, Type-1 diabetes patients had to inject themselves with insulin three to four times a day. New delayed-action insulin analogues such as insulin Glargine require a single daily dose. A similar procedure to the one described in the Pharmaceutical Drug Absorption case study of this chapter is used to find a model for the concentration-time evolution of plasma for insulin Glargine. For a specific patient, state-space model matrices are given by (Tarin, 2007) -0.435 0.209 A 0.268 -0.394 0.227 0 0.02 0 -0.02 C= [0.0003 0 0]; D=0 where the state vector is given by -- The state variables are xy=insulin amount in plasma compartment Xy=insulin amount in liver compartment xy=insulin amount in interstitial (in body tissue) compartment The system's put is external insulin flow. The system's output is y= plasma insulin concentration. a. Find the system's transfer function. b. Verify your result using MATLAB. MATLAB ML