Module 10: Frequency Domain Techniques; Polar Plots and the Nyquist Criterion

Folder description

Please click the folder link above to access the Module 10 instructional content. Module 10 contains three video lectures that present the following topics:

  1. Introduction to Frequency Domain Stability Analysis (10A)
  2. Frequency Domain Analysis: Polar Plots (10B)
  3. Frequency Domain Analysis (FDA): Nyquist Criterion (10C)
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Module at a Glance ObjectivesHow to Complete This Module:

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Objectives

By the end of this module, you will be able to:

  • Determine the stability of a linear, time-invariant system in terms of its magnitude and phase in the frequency domain.
  • Apply the polar plot sketching rules presented in this module to hand-sketch the polar (Nyquist) plot of a linear, time-invariant system.
  • Apply the Nyquist Criterion to ascertain the stability of minimum-and non-minimum phase, linear, time-invariant systems.

How to Complete This Module:

  1. View Module 10 Lectures.
  2. Complete the assigned reading: Read Chapter and Sections 8.5 through 8.9 in the textbook.
  3. Complete the Module 10 Practice Assignment.
  4. Take part in the Module 10 Discussion.
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Module 10 Reading

Cell description

This week's reading assignment includes the following:

  • Golnaraghi, Farid, and Benjamin C. Kuo. Automatic Control Systems (10th Edition).
    • Chapter 10, Sections 10.4-10.8
    • (Or, Chapter 8 Sections 8.5 through 8.9 in the 9th Edition.)
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Module 10 Practice Assignment

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Instructions: Download and print the Module 10 Practice Assignment PDF, complete by hand, and then scan and upload your final document to the Blackboard course site.   Please ensure that your scan is of readable quality and oriented in the proper direction for reading.  All final submittals are to be in PDF format.

Submit your file using the following naming structure: Lastname_Firstname_M10Assignment (example: Palumbo_Neil_M10Assignment).

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Module 10 Discussion

Cell description

Students should respond to the following prompt and respond to at least two classmate’s post as well.

  1. In your own words, describe what a Nyquist plot is, and what it is used for.
  2. Given the pole / zero map of an open-loop transfer function in the s-plane, below, draw the Nyquist path and determine how many poles and / or zeros are encircled by the Nyquist path? Justify your answer and discuss with your classmates. 

If you are still having difficulty with a topic/concept, please elaborate so that I and/or your classmates can assist you.”

Technical
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Module 10 Practice Assignment Solutions

Cell description

Please click on the above link to review the solutions to the Module 10 Practice Assignment problems.

To be released on first day of Module 11.

Technical
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Module 10 Discussion Solution

Cell description

Please click on the above link to review the solutions to the Module 10 Discussion solution.

To be released on first day of Module 11.

Technical
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