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You are working at a medical device company, and are helping to design a new needle system that pricks the skin of a patient so that a drop of blood becomes available for a glucose test. The model that you are given is more complex this time as the new design has multiple springs and masses and damping elements in series. But you are given a transfer function model: K H(s) = X(s)/F(s) (sc)(sd)(s² + ms + n) Here, f(t) is an input force that can be controlled. It is constrained to be a step function with amplitude A (e.g. f(t)= Au(t). The team wants the system to be stable. What are the constraints (if any) on the parameters K, c, d, m and n? Remember that if you have a stable system, the impulse response will decay to zero over time. Or you can use another justification. For each parameter, list if there is a constraint or not, and what it is (if it exists).

You are working at a medical device company, and are helping to design a new needle system that pricks the skin of a patient so that a drop of blood becomes available for a glucose test. The model that you are given is more complex this time as the new design has multiple springs and masses and damping elements in series. But you are given a transfer function model: K H(s) = X(s)/F(s) (sc)(sd)(s² + ms + n) Here, f(t) is an input force that can be controlled. It is constrained to be a step function with amplitude A (e.g. f(t)= Au(t). The team wants the system to be stable. What are the constraints (if any) on the parameters K, c, d, m and n? Remember that if you have a stable system, the impulse response will decay to zero over time. Or you can use another justification. For each parameter, list if there is a constraint or not, and what it is (if it exists).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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You are working at a medical device company, and are helping to design a new needle system that pricks the skin of a patient so that a drop of blood becomes available for a glucose test. The model that you are given is more complex this time as the new design has multiple springs and masses and damping elements in series. But you are given a transfer function model: K H(s) = X(s)/F(s) = (sc)(sd)(s² + ms + n) Here, f(t) is an input force that can be controlled. It is constrained to be a step function with amplitude A (e.g. f(t) = Au(t). The team wants the system to be stable. What are the constraints (if any) on the parameters K, c, d, m and n? Remember that if you have a stable system, the impulse response will decay to zero over time. Or you can use another justification. For each parameter, list if there is a constraint or not, and what it is (if it exists).
Transcribed Image Text:You are working at a medical device company, and are helping to design a new needle system that pricks the skin of a patient so that a drop of blood becomes available for a glucose test. The model that you are given is more complex this time as the new design has multiple springs and masses and damping elements in series. But you are given a transfer function model: K H(s) = X(s)/F(s) = (sc)(sd)(s² + ms + n) Here, f(t) is an input force that can be controlled. It is constrained to be a step function with amplitude A (e.g. f(t) = Au(t). The team wants the system to be stable. What are the constraints (if any) on the parameters K, c, d, m and n? Remember that if you have a stable system, the impulse response will decay to zero over time. Or you can use another justification. For each parameter, list if there is a constraint or not, and what it is (if it exists).
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