Module 12: Final Exam and Introduction to Kalman Filters

Lectures and Content

Folder description

This is optional reading content on the Kalman filter which is the optimal linear least square estimator. Please click the folder link above to access the Module 12 instructional content. Module 12 contains three video lectures that present the following topics:

Introduction to Kalman Filters (12A)
Selecting Optimal Gains (12B)
Kalman Filter Example (12C)

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:

Explain how to design an optimal Kalman filter
Explain the differences between a state estimator and a Kalman filter
Utilize all the methods learned in this class to develop a digital controller for a system of interest

How to Complete This Module:

View "Introduction to Kalman Filters" (module 12A video)
View "Selecting Optimal Gains" (module 12B video)
View "Kalman Filter Example" (module 12C) video
Download the Final Exam and complete within the time allocated (Complete exam by day 7 of Week 12)

Technical

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margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">By the end of this module, you will be able to:</p> \n <ul style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; margin: 1em 0px; padding: 0px 0px 0px 40px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-size: small; list-style: disc; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Explain how to design an optimal Kalman filter</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Explain the differences between a state estimator and a Kalman filter</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Utilize all the methods learned in this class to develop a digital controller for a system of interest</li> \n </ul> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_10\"><span style=\"font-size: small;\">How to Complete This Module:</span></h3> \n <ol style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; margin: 1em 0px; padding: 0px 0px 0px 40px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-size: small; list-style: decimal; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">View \"Introduction to Kalman Filters\" (module 12A video)</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">View \"Selecting Optimal Gains\" (module 12B video)</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">View \"Kalman Filter Example\" (module 12C) video</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Download the Final Exam and complete within the time allocated (Complete exam by day 7 of Week 12)</li> \n </ol> \n <p><br></p> \n</div>\n  </div>\n\n <div id=\"_9826974_1previewModule\" class=\"moduleSample\">\n </div>\n",
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text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Explain how to design an optimal Kalman filter</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Explain the differences between a state estimator and a Kalman filter</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Utilize all the methods learned in this class to develop a digital controller for a system of interest</li> \n </ul> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_10\"><span style=\"font-size: small;\">How to Complete This Module:</span></h3> \n <ol style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; margin: 1em 0px; padding: 0px 0px 0px 40px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-size: small; list-style: decimal; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">View \"Introduction to Kalman Filters\" (module 12A video)</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">View \"Selecting Optimal Gains\" (module 12B video)</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">View \"Kalman Filter Example\" (module 12C) video</li> \n  <li style=\"font-family: inherit; text-shadow: none !important; letter-spacing: normal !important; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Download the Final Exam and complete within the time allocated (Complete exam by day 7 of Week 12)</li> \n </ol> \n <p><br></p> \n</div>\n  </div>\n\n <div id=\"_9826974_1previewModule\" class=\"moduleSample\">\n </div>\n",
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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.

No assigned readings

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

Module 12A – Handouts
Module 12B – Handouts
Module 12C – Handouts

Technical

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(1995). Discrete-Time Control Systems (2nd Edition). Upper Saddle River, New Jersey. 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-9946511-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=vd00ez&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_cbd9e67739c849cb9c6ee641061181d7,open_with_browser_cbd9e67739c849cb9c6ee641061181d7,open_with_bbdrive_cbd9e67739c849cb9c6ee641061181d7,openWebId_cbd9e67739c849cb9c6ee641061181d7,view360Id_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,ax-ally-placeholder_cbd9e67739c849cb9c6ee641061181d7,ax-ally-markForAxAnalysis_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,content_settings_cbd9e67739c849cb9c6ee641061181d7,content_editSettings_cbd9e67739c849cb9c6ee641061181d7,content_edit_cbd9e67739c849cb9c6ee641061181d7,properties_folder_cbd9e67739c849cb9c6ee641061181d7,itemcarot_managerecord_cbd9e67739c849cb9c6ee641061181d7,comments_tool_cbd9e67739c849cb9c6ee641061181d7,subscriptions_list_cbd9e67739c849cb9c6ee641061181d7,content_readfile_cbd9e67739c849cb9c6ee641061181d7,content_overwrite_cbd9e67739c849cb9c6ee641061181d7,passes_tool_cbd9e67739c849cb9c6ee641061181d7,permissions_tool_cbd9e67739c849cb9c6ee641061181d7,content_add_alignment_cbd9e67739c849cb9c6ee641061181d7,content_tracking_cbd9e67739c849cb9c6ee641061181d7,content_versions_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,bookmarkId_cbd9e67739c849cb9c6ee641061181d7,itemsId_cbd9e67739c849cb9c6ee641061181d7,packagesId_cbd9e67739c849cb9c6ee641061181d7,emailId_cbd9e67739c849cb9c6ee641061181d7,removeContentFolderId_cbd9e67739c849cb9c6ee641061181d7,*separator*,copyContentId_cbd9e67739c849cb9c6ee641061181d7,moveContentId_cbd9e67739c849cb9c6ee641061181d7,*separator*,removeContentId_cbd9e67739c849cb9c6ee641061181d7,*separator*,Metadata_General_cbd9e67739c849cb9c6ee641061181d7,Metadata_Dublin_Core_cbd9e67739c849cb9c6ee641061181d7,Metadata_IMS_cbd9e67739c849cb9c6ee641061181d7,Metadata_Full_IMS_cbd9e67739c849cb9c6ee641061181d7,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_cbd9e67739c849cb9c6ee641061181d7\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_cbd9e67739c849cb9c6ee641061181d7',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_cbd9e67739c849cb9c6ee641061181d7',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_cbd9e67739c849cb9c6ee641061181d7',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('cbd9e67739c849cb9c6ee641061181d7');\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>No assigned readings</li> \n     </ul> </td> \n   </tr> \n  </tbody> \n </table> \n <p style=\"margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"></p> \n <p style=\"margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">&nbsp; Urbant, T. (2016) Digital Control and System Applications</p> \n <ul style=\"margin: 1em 0px; padding: 0px 0px 0px 40px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; list-style: disc; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"> \n  <li style=\"margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-family: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Module 12A – Handouts</li> \n  <li style=\"margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-family: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Module 12B – Handouts</li> \n  <li style=\"margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-family: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Module 12C – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946511_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_233190_1&content_id=_9826973_1#",
        "title": "\n    \n  \n\n\n\n     Readings\n \n"
    },
    "html": "\n\n<img alt=\"Item\" src=\"/images/ci/sets/set01/document_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_9946511_1\">\n\n <h3 id=\"anonymous_element_11\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n\n     <span style=\"color:#0067ac;\">Readings</span>\n </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_9946511_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n\n     Readings\n </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p style=\"margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">This weeks readings include the following:</p> \n <p style=\"margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">Ogata,K. (1995). Discrete-Time Control Systems (2nd Edition). Upper Saddle River, New Jersey. 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-9946511-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=vd00ez&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_cbd9e67739c849cb9c6ee641061181d7,open_with_browser_cbd9e67739c849cb9c6ee641061181d7,open_with_bbdrive_cbd9e67739c849cb9c6ee641061181d7,openWebId_cbd9e67739c849cb9c6ee641061181d7,view360Id_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,ax-ally-placeholder_cbd9e67739c849cb9c6ee641061181d7,ax-ally-markForAxAnalysis_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,content_settings_cbd9e67739c849cb9c6ee641061181d7,content_editSettings_cbd9e67739c849cb9c6ee641061181d7,content_edit_cbd9e67739c849cb9c6ee641061181d7,properties_folder_cbd9e67739c849cb9c6ee641061181d7,itemcarot_managerecord_cbd9e67739c849cb9c6ee641061181d7,comments_tool_cbd9e67739c849cb9c6ee641061181d7,subscriptions_list_cbd9e67739c849cb9c6ee641061181d7,content_readfile_cbd9e67739c849cb9c6ee641061181d7,content_overwrite_cbd9e67739c849cb9c6ee641061181d7,passes_tool_cbd9e67739c849cb9c6ee641061181d7,permissions_tool_cbd9e67739c849cb9c6ee641061181d7,content_add_alignment_cbd9e67739c849cb9c6ee641061181d7,content_tracking_cbd9e67739c849cb9c6ee641061181d7,content_versions_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,bookmarkId_cbd9e67739c849cb9c6ee641061181d7,itemsId_cbd9e67739c849cb9c6ee641061181d7,packagesId_cbd9e67739c849cb9c6ee641061181d7,emailId_cbd9e67739c849cb9c6ee641061181d7,removeContentFolderId_cbd9e67739c849cb9c6ee641061181d7,*separator*,copyContentId_cbd9e67739c849cb9c6ee641061181d7,moveContentId_cbd9e67739c849cb9c6ee641061181d7,*separator*,removeContentId_cbd9e67739c849cb9c6ee641061181d7,*separator*,Metadata_General_cbd9e67739c849cb9c6ee641061181d7,Metadata_Dublin_Core_cbd9e67739c849cb9c6ee641061181d7,Metadata_IMS_cbd9e67739c849cb9c6ee641061181d7,Metadata_Full_IMS_cbd9e67739c849cb9c6ee641061181d7,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_cbd9e67739c849cb9c6ee641061181d7\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_cbd9e67739c849cb9c6ee641061181d7',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_cbd9e67739c849cb9c6ee641061181d7',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_cbd9e67739c849cb9c6ee641061181d7',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('cbd9e67739c849cb9c6ee641061181d7');\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>No assigned readings</li> \n     </ul> </td> \n   </tr> \n  </tbody> \n </table> \n <p style=\"margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"></p> \n <p style=\"margin: 0px 0px 1em; padding: 0px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">&nbsp; Urbant, T. (2016) Digital Control and System Applications</p> \n <ul style=\"margin: 1em 0px; padding: 0px 0px 0px 40px; border: 0px; outline: 0px; font-weight: 400; font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; list-style: disc; color: #000000; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\"> \n  <li style=\"margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-family: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Module 12A – Handouts</li> \n  <li style=\"margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-family: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Module 12B – Handouts</li> \n  <li style=\"margin: 0px; padding: 0px; border: 0px; outline: 0px; font-weight: inherit; font-style: inherit; font-family: inherit; font-size: 13px; display: list-item; list-style-position: outside; list-style-type: inherit;\">Module 12C – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946511_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_233190_1&content_id=_9826973_1#",
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        "body": "\n    <div> \n <p>This weeks readings include the following:</p> \n <p>Ogata,K. (1995). Discrete-Time Control Systems (2nd Edition). Upper Saddle River, New Jersey. Prentice Hall.</p> \n <table summary=\"Discrete-Time Control Text graphic\" border=\"0\"> \n  <tbody> \n   <tr> \n    <td>\n \n<span 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=vd00ez&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_cbd9e67739c849cb9c6ee641061181d7,open_with_browser_cbd9e67739c849cb9c6ee641061181d7,open_with_bbdrive_cbd9e67739c849cb9c6ee641061181d7,openWebId_cbd9e67739c849cb9c6ee641061181d7,view360Id_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,ax-ally-placeholder_cbd9e67739c849cb9c6ee641061181d7,ax-ally-markForAxAnalysis_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,content_settings_cbd9e67739c849cb9c6ee641061181d7,content_editSettings_cbd9e67739c849cb9c6ee641061181d7,content_edit_cbd9e67739c849cb9c6ee641061181d7,properties_folder_cbd9e67739c849cb9c6ee641061181d7,itemcarot_managerecord_cbd9e67739c849cb9c6ee641061181d7,comments_tool_cbd9e67739c849cb9c6ee641061181d7,subscriptions_list_cbd9e67739c849cb9c6ee641061181d7,content_readfile_cbd9e67739c849cb9c6ee641061181d7,content_overwrite_cbd9e67739c849cb9c6ee641061181d7,passes_tool_cbd9e67739c849cb9c6ee641061181d7,permissions_tool_cbd9e67739c849cb9c6ee641061181d7,content_add_alignment_cbd9e67739c849cb9c6ee641061181d7,content_tracking_cbd9e67739c849cb9c6ee641061181d7,content_versions_cbd9e67739c849cb9c6ee641061181d7,*separator*,*separator*,bookmarkId_cbd9e67739c849cb9c6ee641061181d7,itemsId_cbd9e67739c849cb9c6ee641061181d7,packagesId_cbd9e67739c849cb9c6ee641061181d7,emailId_cbd9e67739c849cb9c6ee641061181d7,removeContentFolderId_cbd9e67739c849cb9c6ee641061181d7,*separator*,copyContentId_cbd9e67739c849cb9c6ee641061181d7,moveContentId_cbd9e67739c849cb9c6ee641061181d7,*separator*,removeContentId_cbd9e67739c849cb9c6ee641061181d7,*separator*,Metadata_General_cbd9e67739c849cb9c6ee641061181d7,Metadata_Dublin_Core_cbd9e67739c849cb9c6ee641061181d7,Metadata_IMS_cbd9e67739c849cb9c6ee641061181d7,Metadata_Full_IMS_cbd9e67739c849cb9c6ee641061181d7,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_cbd9e67739c849cb9c6ee641061181d7\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_cbd9e67739c849cb9c6ee641061181d7',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_cbd9e67739c849cb9c6ee641061181d7',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n  </span> \n \n \n \n \n \n</td> \n    <td> \n     <ul> \n      <li>No assigned readings</li> \n     </ul> </td> \n   </tr> \n  </tbody> \n </table> \n  \n <p>&nbsp; Urbant, T. (2016) Digital Control and System Applications</p> \n <ul> \n  <li>Module 12A – Handouts</li> \n  <li>Module 12B – Handouts</li> \n  <li>Module 12C – Handouts</li> \n </ul> \n</div>\n  "
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Final Exam

Cell description

Download the final exam by clicking on the "Final Exam" link above.

Complete the exam and submit it in the pdf format by clicking on the "Final Exam" link above.
Make sure you click "Submit" when the document is attached and ready to be submitted.
The exam is due by the last day of the module 14.

Technical

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file_1.pdf
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