Module 5: Design of Discrete-time Controllers Using Convential Methods

Lectures and Content

Folder description

Please click the folder link above to access the Module 5 instructional content. Module 5 contains four video lectures that present the following topics:

Stability and Transient Response of Discrete-Time Systems (5A)
Discrete-time Controller Design using Root-Locus Techniques (5B)
Discrete-time Controller Design using Frequency-Response Techniques (5C)
Discrete-time Controller Design using Analytic Methods (5D)

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:

Characterize the stability and transient response of discrete time systems
Develop discrete time controllers using the Root-locus design method
Develop discrete time controllers using the Frequency-response design method
Develop discrete time controllers using Analytic design methods .

How to Complete This Module:

Read Chapter 4.3-4.4 from Ogata 2nd Edition
View “Stability and Transient Response of Discrete-Time Systems” (module 4A video)
Read Chapter 4.5 from Ogata 2nd Edition
View “Discrete-time Controller Design using Root-Locus Techniques” (module 4B video)
Read Chapter 4.6 from Ogata 2nd Edition
View “Discrete-time Controller Design using Frequency-Response Techniques” (module 4C video)
Read Chapter 4.7 from Ogata 2nd Edition View “Discrete-time Controller Design using Analytic Methods” (module 4D video)
Participate in the module discussions
Complete the module 5 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 4.3 – 4.7

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

Module 5A – Handouts
Module 5B – Handouts
Module 5C – Handouts
Module 5D – Handouts

Technical

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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-9946490-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=vd00ci&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_29fc952832604c3db4c476051e73ccf6,open_with_browser_29fc952832604c3db4c476051e73ccf6,open_with_bbdrive_29fc952832604c3db4c476051e73ccf6,openWebId_29fc952832604c3db4c476051e73ccf6,view360Id_29fc952832604c3db4c476051e73ccf6,*separator*,*separator*,ax-ally-placeholder_29fc952832604c3db4c476051e73ccf6,ax-ally-markForAxAnalysis_29fc952832604c3db4c476051e73ccf6,*separator*,*separator*,content_settings_29fc952832604c3db4c476051e73ccf6,content_editSettings_29fc952832604c3db4c476051e73ccf6,content_edit_29fc952832604c3db4c476051e73ccf6,properties_folder_29fc952832604c3db4c476051e73ccf6,itemcarot_managerecord_29fc952832604c3db4c476051e73ccf6,comments_tool_29fc952832604c3db4c476051e73ccf6,subscriptions_list_29fc952832604c3db4c476051e73ccf6,content_readfile_29fc952832604c3db4c476051e73ccf6,content_overwrite_29fc952832604c3db4c476051e73ccf6,passes_tool_29fc952832604c3db4c476051e73ccf6,permissions_tool_29fc952832604c3db4c476051e73ccf6,content_add_alignment_29fc952832604c3db4c476051e73ccf6,content_tracking_29fc952832604c3db4c476051e73ccf6,content_versions_29fc952832604c3db4c476051e73ccf6,*separator*,*separator*,bookmarkId_29fc952832604c3db4c476051e73ccf6,itemsId_29fc952832604c3db4c476051e73ccf6,packagesId_29fc952832604c3db4c476051e73ccf6,emailId_29fc952832604c3db4c476051e73ccf6,removeContentFolderId_29fc952832604c3db4c476051e73ccf6,*separator*,copyContentId_29fc952832604c3db4c476051e73ccf6,moveContentId_29fc952832604c3db4c476051e73ccf6,*separator*,removeContentId_29fc952832604c3db4c476051e73ccf6,*separator*,Metadata_General_29fc952832604c3db4c476051e73ccf6,Metadata_Dublin_Core_29fc952832604c3db4c476051e73ccf6,Metadata_IMS_29fc952832604c3db4c476051e73ccf6,Metadata_Full_IMS_29fc952832604c3db4c476051e73ccf6,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_29fc952832604c3db4c476051e73ccf6\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_29fc952832604c3db4c476051e73ccf6',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_29fc952832604c3db4c476051e73ccf6',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_29fc952832604c3db4c476051e73ccf6',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('29fc952832604c3db4c476051e73ccf6');\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 4.3 – 4.7</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 5A – Handouts</li> \n  <li>Module 5B – Handouts</li> \n  <li>Module 5C – Handouts</li> \n  <li>Module 5D – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946490_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-9946490-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=vd00ci&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_29fc952832604c3db4c476051e73ccf6,open_with_browser_29fc952832604c3db4c476051e73ccf6,open_with_bbdrive_29fc952832604c3db4c476051e73ccf6,openWebId_29fc952832604c3db4c476051e73ccf6,view360Id_29fc952832604c3db4c476051e73ccf6,*separator*,*separator*,ax-ally-placeholder_29fc952832604c3db4c476051e73ccf6,ax-ally-markForAxAnalysis_29fc952832604c3db4c476051e73ccf6,*separator*,*separator*,content_settings_29fc952832604c3db4c476051e73ccf6,content_editSettings_29fc952832604c3db4c476051e73ccf6,content_edit_29fc952832604c3db4c476051e73ccf6,properties_folder_29fc952832604c3db4c476051e73ccf6,itemcarot_managerecord_29fc952832604c3db4c476051e73ccf6,comments_tool_29fc952832604c3db4c476051e73ccf6,subscriptions_list_29fc952832604c3db4c476051e73ccf6,content_readfile_29fc952832604c3db4c476051e73ccf6,content_overwrite_29fc952832604c3db4c476051e73ccf6,passes_tool_29fc952832604c3db4c476051e73ccf6,permissions_tool_29fc952832604c3db4c476051e73ccf6,content_add_alignment_29fc952832604c3db4c476051e73ccf6,content_tracking_29fc952832604c3db4c476051e73ccf6,content_versions_29fc952832604c3db4c476051e73ccf6,*separator*,*separator*,bookmarkId_29fc952832604c3db4c476051e73ccf6,itemsId_29fc952832604c3db4c476051e73ccf6,packagesId_29fc952832604c3db4c476051e73ccf6,emailId_29fc952832604c3db4c476051e73ccf6,removeContentFolderId_29fc952832604c3db4c476051e73ccf6,*separator*,copyContentId_29fc952832604c3db4c476051e73ccf6,moveContentId_29fc952832604c3db4c476051e73ccf6,*separator*,removeContentId_29fc952832604c3db4c476051e73ccf6,*separator*,Metadata_General_29fc952832604c3db4c476051e73ccf6,Metadata_Dublin_Core_29fc952832604c3db4c476051e73ccf6,Metadata_IMS_29fc952832604c3db4c476051e73ccf6,Metadata_Full_IMS_29fc952832604c3db4c476051e73ccf6,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_29fc952832604c3db4c476051e73ccf6\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_29fc952832604c3db4c476051e73ccf6',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_29fc952832604c3db4c476051e73ccf6',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_29fc952832604c3db4c476051e73ccf6',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('29fc952832604c3db4c476051e73ccf6');\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 4.3 – 4.7</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 5A – Handouts</li> \n  <li>Module 5B – Handouts</li> \n  <li>Module 5C – Handouts</li> \n  <li>Module 5D – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946490_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 5 Discussion Question 1 - Practice Assignment

Cell description

The analytic design method is fairly complicated, and not very intuitive at times. Download the practice assignment, try to solve the problem in the attached, and engage your class on how to solve this particular problem. Practice Assignment

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 5 then provide your feedback by Day 6 of Module 5. 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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Download the practice assignment, try to solve the problem in the attached, and engage your class on how to solve this particular problem.<br><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_103909381_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-9826890-dt-content-rid-103909381_2/xid-103909381_2\" target=\"_blank\">Practice Assignment</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.535.645.81.SU21/Module%2005/Module%205%20Practice%20Assignment.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00ck&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909381_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_a74653a18d5746818cc06ee820ca652f,open_with_browser_a74653a18d5746818cc06ee820ca652f,open_with_bbdrive_a74653a18d5746818cc06ee820ca652f,openWebId_a74653a18d5746818cc06ee820ca652f,view360Id_a74653a18d5746818cc06ee820ca652f,*separator*,*separator*,ax-ally-placeholder_a74653a18d5746818cc06ee820ca652f,ax-ally-markForAxAnalysis_a74653a18d5746818cc06ee820ca652f,*separator*,*separator*,content_settings_a74653a18d5746818cc06ee820ca652f,content_editSettings_a74653a18d5746818cc06ee820ca652f,content_edit_a74653a18d5746818cc06ee820ca652f,properties_folder_a74653a18d5746818cc06ee820ca652f,itemcarot_managerecord_a74653a18d5746818cc06ee820ca652f,comments_tool_a74653a18d5746818cc06ee820ca652f,subscriptions_list_a74653a18d5746818cc06ee820ca652f,content_readfile_a74653a18d5746818cc06ee820ca652f,content_overwrite_a74653a18d5746818cc06ee820ca652f,passes_tool_a74653a18d5746818cc06ee820ca652f,permissions_tool_a74653a18d5746818cc06ee820ca652f,content_add_alignment_a74653a18d5746818cc06ee820ca652f,content_tracking_a74653a18d5746818cc06ee820ca652f,content_versions_a74653a18d5746818cc06ee820ca652f,*separator*,*separator*,bookmarkId_a74653a18d5746818cc06ee820ca652f,itemsId_a74653a18d5746818cc06ee820ca652f,packagesId_a74653a18d5746818cc06ee820ca652f,emailId_a74653a18d5746818cc06ee820ca652f,removeContentFolderId_a74653a18d5746818cc06ee820ca652f,*separator*,copyContentId_a74653a18d5746818cc06ee820ca652f,moveContentId_a74653a18d5746818cc06ee820ca652f,*separator*,removeContentId_a74653a18d5746818cc06ee820ca652f,*separator*,Metadata_General_a74653a18d5746818cc06ee820ca652f,Metadata_Dublin_Core_a74653a18d5746818cc06ee820ca652f,Metadata_IMS_a74653a18d5746818cc06ee820ca652f,Metadata_Full_IMS_a74653a18d5746818cc06ee820ca652f,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_a74653a18d5746818cc06ee820ca652f\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_a74653a18d5746818cc06ee820ca652f',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_a74653a18d5746818cc06ee820ca652f',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_a74653a18d5746818cc06ee820ca652f',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"103909381_2_fileReadWritePermAvl\" id=\"103909381_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('a74653a18d5746818cc06ee820ca652f');\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><p></p> \n <p>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 5 then provide your feedback by Day 6 of Module 5. 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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.</p> \n</div>\n  </div>\n\n <div id=\"_9826890_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 5 Discussion Question 2

Cell description

We have an exam coming up in two weeks. What concepts, approaches and problems are confusing to you or that you would like to have clarification on? Engage the class to see if they can help you better understand and try to help clarify things that others are confused about.

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 5, then provide feedback to your classmates by Day 7 of Module 5.

Technical

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Module 5 Assignment

Cell description

Please open the attachments above and complete the Problem Set:

Module 5 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 5.

Technical

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When you are finished, scan the document containing your final work or take a clear and readable picture with a camera or phone. <span style=\"text-decoration: underline;\">Submit your response by day 7 of Module 5. </span></p> \n</div>\n  </div>\n\n <div id=\"_9826892_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 5 Homework Solutions

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