Module 4: Discrete-time Transfer Function Analysis and Filter Realization

Lectures and Content

Folder description

Please click the folder link above to access the Module 3 instructional content. Module 3 contains four video lectures that present the following topics:

Calculating Pulse Transfer Functions of Closed-Loop Systems (4A)
Realization of Digital Controllers and Digital Filters Part I (4B)
Realization of Digital Controllers and Digital Filters Part II (4C)
A Change in Perspective: Understanding the mapping between the s-plane and z-plane (4D)

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:

Develop the pulse transfer functions of closed-loop systems with differing generalized topologies including PID controllers
Learn multiple methods for implementing digital controllers and filters in hardware and/or software
Learn the differences between Infinite-Impulse Response and Finite-Impulse Response Filters
Explain and apply the mappings of well-known continuous-time design characteristics (stability, damping, frequency, etc) between the continuous-time s-plane and the discrete-time z-plane .

How to Complete This Module:

Read Chapter 3.5 (pp. 110 – 121) from Ogata 2nd Edition
View “Calculating Pulse Transfer Functions of Closed-Loop Systems” (module 4A video)
Read Chapter 3.6 from Ogata 2nd Edition
View “Realization of Digital Controllers and Digital Filters Part I” (module 4B video)
View “Realization of Digital Controllers and Digital Filters Part II” (module 4C video)
Read Chapters 4.1 and 4.2 ( from Ogata 2nd Edition View “A Change in Perspective: Understanding the mapping between the s-plane and z-plane”) (module 4D video)
Participate in the module discussions
Complete the module 4 assignment

Technical

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Readings

Cell description

This weeks readings include the following:

Ogata,K. (1995). Discrete-Time Control Systems (2nd Edition). Upper Saddle River, New Jersey. Prentice Hall.

Chapter 3.5 (pp. 110 – 121) – 4.2

Urbant, T. (2016) Digital Control and System Applications

Module 4A – Handouts
Module 4B – Handouts
Module 4C – Handouts
Module 4D – Handouts

Technical

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(2016) Digital Control and System Applications</p> \n <ul> \n  <li>Module 4A – Handouts</li> \n  <li>Module 4B – Handouts</li> \n  <li>Module 4C – Handouts</li> \n  <li>Module 4D – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946487_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Prentice Hall.</p> \n <table summary=\"Discrete-Time Control Text graphic\" border=\"0\"> \n  <tbody> \n   <tr> \n    <td class=\"nowrapCell\"><span class=\"axScoreIndicator axVtbeEmbedded image\"><span data-ally-scoreindicator=\"_103909318_2\"></span></span>\n<img src=\"https://blackboard.jhu.edu/bbcswebdav/pid-9946487-dt-content-rid-103909318_2/xid-103909318_2\" alt=\"Discrete-Time Control Systems Textbook\" title=\"Discrete-Time Control Systems Textbook\" width=\"92\" height=\"119\"> \n<span class=\"contextMenuContainer image\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.535.645.81.SU21/Screen%20Shot%202016-09-29%20at%208.36.15%20AM.png?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00ca&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_9ddbef5fd9eb474b95a44117d0753e62,open_with_browser_9ddbef5fd9eb474b95a44117d0753e62,open_with_bbdrive_9ddbef5fd9eb474b95a44117d0753e62,openWebId_9ddbef5fd9eb474b95a44117d0753e62,view360Id_9ddbef5fd9eb474b95a44117d0753e62,*separator*,*separator*,ax-ally-placeholder_9ddbef5fd9eb474b95a44117d0753e62,ax-ally-markForAxAnalysis_9ddbef5fd9eb474b95a44117d0753e62,*separator*,*separator*,content_settings_9ddbef5fd9eb474b95a44117d0753e62,content_editSettings_9ddbef5fd9eb474b95a44117d0753e62,content_edit_9ddbef5fd9eb474b95a44117d0753e62,properties_folder_9ddbef5fd9eb474b95a44117d0753e62,itemcarot_managerecord_9ddbef5fd9eb474b95a44117d0753e62,comments_tool_9ddbef5fd9eb474b95a44117d0753e62,subscriptions_list_9ddbef5fd9eb474b95a44117d0753e62,content_readfile_9ddbef5fd9eb474b95a44117d0753e62,content_overwrite_9ddbef5fd9eb474b95a44117d0753e62,passes_tool_9ddbef5fd9eb474b95a44117d0753e62,permissions_tool_9ddbef5fd9eb474b95a44117d0753e62,content_add_alignment_9ddbef5fd9eb474b95a44117d0753e62,content_tracking_9ddbef5fd9eb474b95a44117d0753e62,content_versions_9ddbef5fd9eb474b95a44117d0753e62,*separator*,*separator*,bookmarkId_9ddbef5fd9eb474b95a44117d0753e62,itemsId_9ddbef5fd9eb474b95a44117d0753e62,packagesId_9ddbef5fd9eb474b95a44117d0753e62,emailId_9ddbef5fd9eb474b95a44117d0753e62,removeContentFolderId_9ddbef5fd9eb474b95a44117d0753e62,*separator*,copyContentId_9ddbef5fd9eb474b95a44117d0753e62,moveContentId_9ddbef5fd9eb474b95a44117d0753e62,*separator*,removeContentId_9ddbef5fd9eb474b95a44117d0753e62,*separator*,Metadata_General_9ddbef5fd9eb474b95a44117d0753e62,Metadata_Dublin_Core_9ddbef5fd9eb474b95a44117d0753e62,Metadata_IMS_9ddbef5fd9eb474b95a44117d0753e62,Metadata_Full_IMS_9ddbef5fd9eb474b95a44117d0753e62,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_9ddbef5fd9eb474b95a44117d0753e62\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_9ddbef5fd9eb474b95a44117d0753e62',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_9ddbef5fd9eb474b95a44117d0753e62',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_9ddbef5fd9eb474b95a44117d0753e62',true);\"></a> \n  </span> \n<input type=\"hidden\" name=\"103909318_2_fileReadWritePermAvl\" id=\"103909318_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('9ddbef5fd9eb474b95a44117d0753e62');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></td> \n    <td> \n     <ul> \n      <li>Chapter 3.5 (pp. 110 – 121) – 4.2</li> \n     </ul> </td> \n   </tr> \n  </tbody> \n </table> \n <br> \n <p>&nbsp; Urbant, T. (2016) Digital Control and System Applications</p> \n <ul> \n  <li>Module 4A – Handouts</li> \n  <li>Module 4B – Handouts</li> \n  <li>Module 4C – Handouts</li> \n  <li>Module 4D – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946487_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 4 Discussion 1 - Is faster always better?

Cell description

You are really proud of yourself, you were able to design a system that was twice as fast as the design specification called for and still achieve a damping ration of .707. Can you go home and celebrate? What limitations might you consider before calling it a day?

You will be graded on your participation in this activity, not on the accuracy of your answer. Please share your response by Day 5 of Module 4, then provide feedback to your classmates by Day 7 of Module 4.

Technical

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Module 4 Discussion Question 2 - Practice Assignment

Cell description

For this activity, you will work with a partner to practice solving problems.

Partner’s will be paired up based on the order of initial posts. 1st & 2nd responders will pair up, 3rd & 4th will pair up, etc.
Download the following Practice Assignment and complete the problems. Practice Assignment
After you have completed the problem, scan your work or take a very clear picture with your phone or camera.
Respond to this discussion forum and attach the file with your completed work.
Find your assigned partner’s attached files and download their work.
Review their solution to the problem and provide any corrections or comments on their work. You may want to do this on paper and then scan or take a picture of your corrections.
Reply to their post by attaching a new file with your corrections and comments. You may also choose to respond using the discussion textbox, whatever best allows you to exchange ideas with your partner.

You will be graded on your participation in this activity, not on the accuracy of solving the problem. Please upload your first attempt at solving this problem by Day 4 of Module 4, then provide your feedback by Day 6 of Module 4. Please note that this is a chance to practice solving similar to the Module 4 Assignment where you will be graded on your accuracy, so take full advantage of this exercise.

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file_1.pdf
./attachments/cell_30/file_1.pdf

Module 4 Assignment

Cell description

Please open the attachments above and complete the Problem Set:

Module 4 Assignment

As you complete this Problem Set please show all your work. When you are finished, scan the document containing your final work or take a clear and readable picture with a camera or phone. Submit your response by day 7 of Module .

Technical

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Module 4 Assignment Solutions

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