Module 9: Frequency Domain Techniques; The Bode Plot

Folder description

Please click the folder link above to access the Module 9 instructional content. Module 9 contains four video lectures that present the following topics:

  1. Introduction to Frequency Domain Analysis (9A)
  2. Introduction to Bode Plots (9B)
  3. Basics of Sketching Bode Plots (9C)
  4. Sketching The Entire Bode Plot by Example (9D)
Technical
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Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

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

  • Express a linear, time-invariant transfer function in terms of its magnitude and phase in the frequency domain.
  • Calculate resonant frequency, resonant peak and bandwidth of a linear, time-invariant system.
  • Describe a linear, time-invariant transfer function in terms of log-magnitude and, estimate the magnitude and phase contributions of the constituent components of the transfer function in the frequency domain.
  • Apply the Bode Plotting rules presented in this module to hand-sketch Bode magnitude and phase plots of a linear, time-invariant dynamic system.

How to Complete This Module:

  1. Watch the Module 9 Lectures
  2. Complete the assigned reading:
    • Chapter and Sections 2.2.3 through 2.2.9
    • Chapter and Sections 8.1 through 8.4 in the textbook.
  3. Complete the Module 9 Practice Assignment.
  4. Take part in the Module 9 Discussion.
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Module 9 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 10.1-10.3
    • (Or, Chapter 2 Sections 2.2.3 through 2.2.9, and Chapter 8 Sections 8.1 through 8.4 in the 9th Edition.)
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Module 9 Practice Assignment

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Instructions: Download and print the Module 9 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_M9Assignment (example: Palumbo_Neil_M9Assignment).

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Module 9 Discussion

Cell description

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

Consider the asymptotic Bode log-magnitude plot shown below, and answer the following questions.  Share and discuss your answers with your fellow classmates.

  • What is the low-frequency gain of this system?  How did you determine this?
  • What is the break frequency?  How did you determine this?
  • Can you tell (estimate) how many zeros and/or poles comprise the transfer function that was used to generate this asymptotic Bode log-magnitude plot? Where, in frequency, are the zeros and/or poles located? Explain your answer.

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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        "body": "\n    <div> \n <p>Students should respond to the following prompt and respond to at least two classmate’s post as well.</p> \n <p>Consider the asymptotic Bode log-magnitude plot shown below, and answer the following questions. &nbsp;Share and discuss your answers with your fellow classmates.</p> \n <ul> \n  <li>What is the low-frequency gain of this system? &nbsp;How did you determine this?</li> \n  <li>What is the break frequency? &nbsp;How did you determine this?</li> \n  <li>Can you tell (estimate) how many zeros and/or poles comprise the transfer function that was used to generate this asymptotic Bode log-magnitude plot? Where, in frequency, are the zeros and/or poles located? Explain your answer.</li> \n </ul> \n <table border=\"0\"> \n  <tbody> \n   <tr> \n    <td>\n \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.525.609.81.SP20/Module%2009/Bode%20Asymptotic%20Magnitude%20Diagram.png?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00o7&amp;course_id=_197015_1&amp;ctxMenuXythosId=86813294_2&amp;course_id=_197015_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_3e514bfed4424cc38b2942a37ff1b298,open_with_browser_3e514bfed4424cc38b2942a37ff1b298,open_with_bbdrive_3e514bfed4424cc38b2942a37ff1b298,openWebId_3e514bfed4424cc38b2942a37ff1b298,view360Id_3e514bfed4424cc38b2942a37ff1b298,*separator*,*separator*,ax-ally-placeholder_3e514bfed4424cc38b2942a37ff1b298,ax-ally-markForAxAnalysis_3e514bfed4424cc38b2942a37ff1b298,*separator*,*separator*,content_settings_3e514bfed4424cc38b2942a37ff1b298,content_editSettings_3e514bfed4424cc38b2942a37ff1b298,content_edit_3e514bfed4424cc38b2942a37ff1b298,properties_folder_3e514bfed4424cc38b2942a37ff1b298,itemcarot_managerecord_3e514bfed4424cc38b2942a37ff1b298,comments_tool_3e514bfed4424cc38b2942a37ff1b298,subscriptions_list_3e514bfed4424cc38b2942a37ff1b298,content_readfile_3e514bfed4424cc38b2942a37ff1b298,content_overwrite_3e514bfed4424cc38b2942a37ff1b298,passes_tool_3e514bfed4424cc38b2942a37ff1b298,permissions_tool_3e514bfed4424cc38b2942a37ff1b298,content_add_alignment_3e514bfed4424cc38b2942a37ff1b298,content_tracking_3e514bfed4424cc38b2942a37ff1b298,content_versions_3e514bfed4424cc38b2942a37ff1b298,*separator*,*separator*,bookmarkId_3e514bfed4424cc38b2942a37ff1b298,itemsId_3e514bfed4424cc38b2942a37ff1b298,packagesId_3e514bfed4424cc38b2942a37ff1b298,emailId_3e514bfed4424cc38b2942a37ff1b298,removeContentFolderId_3e514bfed4424cc38b2942a37ff1b298,*separator*,copyContentId_3e514bfed4424cc38b2942a37ff1b298,moveContentId_3e514bfed4424cc38b2942a37ff1b298,*separator*,removeContentId_3e514bfed4424cc38b2942a37ff1b298,*separator*,Metadata_General_3e514bfed4424cc38b2942a37ff1b298,Metadata_Dublin_Core_3e514bfed4424cc38b2942a37ff1b298,Metadata_IMS_3e514bfed4424cc38b2942a37ff1b298,Metadata_Full_IMS_3e514bfed4424cc38b2942a37ff1b298,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_3e514bfed4424cc38b2942a37ff1b298\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_3e514bfed4424cc38b2942a37ff1b298',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_3e514bfed4424cc38b2942a37ff1b298',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n  </span> \n \n \n \n \n \n</td> \n   </tr> \n  </tbody> \n </table> \n  \n <p>If you are still having difficulty with a topic/concept, please elaborate so that I and/or your classmates can assist you.</p> \n</div>\n  "
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Module 9 Practice Assignment Solutions

Cell description

Please click on the above link to review the solutions to the Module 9 Practice Assignment problems.

To be released on first day of Module 10.

Technical
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Module 9 Discussion Solution

Cell description

Please click on the above link to review the solutions to the Module 9 Discussion solution.

To be released on first day of Module 10.

Technical
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