Difference between revisions of "Spring 2020 Assignment 9"
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==Feedback systems== | ==Feedback systems== | ||
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+ | |[[File:LR Low Pass Filter for S20 Assignment 9.png|350 px]] | ||
+ | |[[File:Feedback System Block Diagram for S20 Assignment 9.png|350 px]] | ||
+ | |} | ||
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+ | {{Template:Assignment Turn In|message = | ||
+ | <ul> | ||
+ | <li>Find the transfer function H ̂(s)=(V ̂_out (s))/(V ̂_in (s)) of the circuit shown below, assuming L = 1 H and R = 1Ω.</li> | ||
+ | <li>Plot the poles and zeros of H ̂(s) on the axes below using x’s for poles and o’s for zeroes.</li> | ||
+ | <li>The circuit from Figure 1 is placed in a feedback system, as shown in the block diagram below. The triangle represents an amplifier with gain G that does not depend on frequency. Find the transfer function of the feedback system <math>\hat{F}(s)=(\hat{Y}(s))/(\hat{X}(s)).</li> | ||
+ | <li>Plot the poles and zeros of <math>\hat{F}(s) for G=1,9,and 19. Label the gain value for each point.</math> | ||
+ | </ul> | ||
+ | |||
==The Frequency Dependence of Osmo-Adaptation in Saccharomyces cerevisiae== | ==The Frequency Dependence of Osmo-Adaptation in Saccharomyces cerevisiae== |
Revision as of 20:12, 26 April 2020
Signals and systems
System function | $ \frac{1}{s+1} $ | $ \frac{s}{s+1} $ | $ \frac{s}{s^2+2s+1} $ | $ \frac{s}{s^2+0.1s+1} $ | $ \frac{1}{s^2+10s+1} $ |
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Magnitude plot | |||||
Phase plot | |||||
Step response | |||||
Pole/zero plot | |||||
Description |
Magnitude Plots
Phase Plots
Step Response Plots
Pole Zero Plots
Feedback systems
{{Template:Assignment Turn In|message =
- Find the transfer function H ̂(s)=(V ̂_out (s))/(V ̂_in (s)) of the circuit shown below, assuming L = 1 H and R = 1Ω.
- Plot the poles and zeros of H ̂(s) on the axes below using x’s for poles and o’s for zeroes.
- The circuit from Figure 1 is placed in a feedback system, as shown in the block diagram below. The triangle represents an amplifier with gain G that does not depend on frequency. Find the transfer function of the feedback system $ \hat{F}(s)=(\hat{Y}(s))/(\hat{X}(s)).</li> <li>Plot the poles and zeros of <math>\hat{F}(s) for G=1,9,and 19. Label the gain value for each point. $
The Frequency Dependence of Osmo-Adaptation in Saccharomyces cerevisiae
Read The Frequency Dependence of Osmo-Adaptation in Saccharomyces cerevisiae and the supporting information.. This paper will be the focus of exam 2. We will discuss the paper and the supporting information on Thursday and Friday.
Turn in all your MATLAB code in pdf format. No need to include functions that you used but did not modify. |
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