Module 11: Optimal Control and Linear Quadratic Regulators

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    "title": "Lectures and Content",
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    "html": "\n\n<img alt=\"Content Folder\" src=\"/images/ci/sets/set01/folder_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_9826963_1\">\n\n <h3 id=\"anonymous_element_12\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/listContent.jsp?course_id=_233190_1&amp;content_id=_9826963_1\"><span style=\"color:#0067ac;\">Lectures and Content</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_9826963_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Lectures and Content\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>Please click the folder link above to access the Module 11 instructional content. Module 11 contains five video lectures that present the following topics:</p> \n <ol> \n  <li>Introduction to Optimal Control (11A)</li> \n  <li>Quadratic Optimal Control (11B)</li> \n  <li>Closed-Form Optimal Feedback Control (11C)</li> \n  <li>Steady-State Quadratic Optimal Control (11D)</li> \n  <li>Steady-State Quadratic Optimal Control with MATLAB (11E)</li> \n </ol> \n</div>\n  </div>\n\n <div id=\"_9826963_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Lectures and Content",
        "body": "\n    <div> \n <p>Please click the folder link above to access the Module 11 instructional content. Module 11 contains five video lectures that present the following topics:</p> \n <ol> \n  <li>Introduction to Optimal Control (11A)</li> \n  <li>Quadratic Optimal Control (11B)</li> \n  <li>Closed-Form Optimal Feedback Control (11C)</li> \n  <li>Steady-State Quadratic Optimal Control (11D)</li> \n  <li>Steady-State Quadratic Optimal Control with MATLAB (11E)</li> \n </ol> \n</div>\n  "
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        "html": "\n\n<img alt=\"Item\" src=\"/images/ci/sets/set01/document_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_9826961_1\">\n\n <h3 id=\"anonymous_element_8\">\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;\">Module at a Glance</span>\n </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_9826961_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n\n     Module at a Glance\n </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_9\"><span style=\"font-size: small;\">Objectives</span></h3> \n <p style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; 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;\">State a well-posed optimal control problem for closed-loop feedback control systems</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;\">Find the optimal controller for a well-posed optimal control problem</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;\">Solve a steady-state optimal control problem</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;\">Design a feedback control system using the linear quadratic regulator design method</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;\">Demonstrate how to apply Liapunov theory to assess the stability of linear optimal control solutions</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;\">Read Chapter 8.1 – 8.2 from Ogata 2nd Edition</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 “Introduction to Optimal Control” (module 11A 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 “Quadratic Optimal Control” (module 11B 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 “Closed-Form Optimal Feedback Control” (module 11C 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;\">Read Chapter 8-3 – 8-4 from Ogata 2nd Edition</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 “Steady-State Quadratic Optimal Control” (module 11D 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 “Steady-State Quadratic Optimal Control with MATLAB” (module 11E 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;\">Participate in the module discussion</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;\">Complete the module assignment</li> \n </ol> \n <p><br></p> \n</div>\n  </div>\n\n <div id=\"_9826961_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_233190_1&content_id=_9826960_1#",
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    "html": "\n\n<img alt=\"Item\" src=\"/images/ci/sets/set01/document_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_9826961_1\">\n\n <h3 id=\"anonymous_element_8\">\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;\">Module at a Glance</span>\n </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_9826961_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n\n     Module at a Glance\n </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_9\"><span style=\"font-size: small;\">Objectives</span></h3> \n <p style=\"font-family: 'Open Sans', sans-serif; text-shadow: none !important; letter-spacing: normal; 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;\">State a well-posed optimal control problem for closed-loop feedback control systems</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;\">Find the optimal controller for a well-posed optimal control problem</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;\">Solve a steady-state optimal control problem</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;\">Design a feedback control system using the linear quadratic regulator design method</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;\">Demonstrate how to apply Liapunov theory to assess the stability of linear optimal control solutions</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;\">Read Chapter 8.1 – 8.2 from Ogata 2nd Edition</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 “Introduction to Optimal Control” (module 11A 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 “Quadratic Optimal Control” (module 11B 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 “Closed-Form Optimal Feedback Control” (module 11C 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;\">Read Chapter 8-3 – 8-4 from Ogata 2nd Edition</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 “Steady-State Quadratic Optimal Control” (module 11D 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 “Steady-State Quadratic Optimal Control with MATLAB” (module 11E 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;\">Participate in the module discussion</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;\">Complete the module assignment</li> \n </ol> \n <p><br></p> \n</div>\n  </div>\n\n <div id=\"_9826961_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/listContent.jsp?course_id=_233190_1&content_id=_9826960_1#",
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        "title": "Module at a Glance\n ObjectivesHow to Complete This Module:",
        "body": "\n    <div> \n <h3 id=\"anonymous_element_9\"><span>Objectives</span></h3> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n  <li>State a well-posed optimal control problem for closed-loop feedback control systems</li> \n  <li>Find the optimal controller for a well-posed optimal control problem</li> \n  <li>Solve a steady-state optimal control problem</li> \n  <li>Design a feedback control system using the linear quadratic regulator design method</li> \n  <li>Demonstrate how to apply Liapunov theory to assess the stability of linear optimal control solutions</li> \n </ul> \n <h3 id=\"anonymous_element_10\"><span>How to Complete This Module:</span></h3> \n <ol> \n  <li>Read Chapter 8.1 – 8.2 from Ogata 2nd Edition</li> \n  <li>View “Introduction to Optimal Control” (module 11A video)</li> \n  <li>View “Quadratic Optimal Control” (module 11B video)</li> \n  <li>View “Closed-Form Optimal Feedback Control” (module 11C video)</li> \n  <li>Read Chapter 8-3 – 8-4 from Ogata 2nd Edition</li> \n  <li>View “Steady-State Quadratic Optimal Control” (module 11D video)</li> \n  <li>View “Steady-State Quadratic Optimal Control with MATLAB” (module 11E video)</li> \n  <li>Participate in the module discussion</li> \n  <li>Complete the module assignment</li> \n </ol> \n  \n</div>\n  "
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        "html": "\n\n<img alt=\"Item\" src=\"/images/ci/sets/set01/document_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_9946504_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:_9946504_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>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 class=\"nowrapCell\"><span class=\"axScoreIndicator axVtbeEmbedded image\"><span data-ally-scoreindicator=\"_103909318_2\"></span></span>\n<img src=\"https://blackboard.jhu.edu/bbcswebdav/pid-9946504-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=vd00et&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_b7da7fcaca0242a1a13806f8171e158d,open_with_browser_b7da7fcaca0242a1a13806f8171e158d,open_with_bbdrive_b7da7fcaca0242a1a13806f8171e158d,openWebId_b7da7fcaca0242a1a13806f8171e158d,view360Id_b7da7fcaca0242a1a13806f8171e158d,*separator*,*separator*,ax-ally-placeholder_b7da7fcaca0242a1a13806f8171e158d,ax-ally-markForAxAnalysis_b7da7fcaca0242a1a13806f8171e158d,*separator*,*separator*,content_settings_b7da7fcaca0242a1a13806f8171e158d,content_editSettings_b7da7fcaca0242a1a13806f8171e158d,content_edit_b7da7fcaca0242a1a13806f8171e158d,properties_folder_b7da7fcaca0242a1a13806f8171e158d,itemcarot_managerecord_b7da7fcaca0242a1a13806f8171e158d,comments_tool_b7da7fcaca0242a1a13806f8171e158d,subscriptions_list_b7da7fcaca0242a1a13806f8171e158d,content_readfile_b7da7fcaca0242a1a13806f8171e158d,content_overwrite_b7da7fcaca0242a1a13806f8171e158d,passes_tool_b7da7fcaca0242a1a13806f8171e158d,permissions_tool_b7da7fcaca0242a1a13806f8171e158d,content_add_alignment_b7da7fcaca0242a1a13806f8171e158d,content_tracking_b7da7fcaca0242a1a13806f8171e158d,content_versions_b7da7fcaca0242a1a13806f8171e158d,*separator*,*separator*,bookmarkId_b7da7fcaca0242a1a13806f8171e158d,itemsId_b7da7fcaca0242a1a13806f8171e158d,packagesId_b7da7fcaca0242a1a13806f8171e158d,emailId_b7da7fcaca0242a1a13806f8171e158d,removeContentFolderId_b7da7fcaca0242a1a13806f8171e158d,*separator*,copyContentId_b7da7fcaca0242a1a13806f8171e158d,moveContentId_b7da7fcaca0242a1a13806f8171e158d,*separator*,removeContentId_b7da7fcaca0242a1a13806f8171e158d,*separator*,Metadata_General_b7da7fcaca0242a1a13806f8171e158d,Metadata_Dublin_Core_b7da7fcaca0242a1a13806f8171e158d,Metadata_IMS_b7da7fcaca0242a1a13806f8171e158d,Metadata_Full_IMS_b7da7fcaca0242a1a13806f8171e158d,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_b7da7fcaca0242a1a13806f8171e158d\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_b7da7fcaca0242a1a13806f8171e158d',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_b7da7fcaca0242a1a13806f8171e158d',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_b7da7fcaca0242a1a13806f8171e158d',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('b7da7fcaca0242a1a13806f8171e158d');\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 8.1 - 8.4</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 11A – Handouts</li> \n  <li>Module 11B – Handouts</li> \n  <li>Module 11C – Handouts</li> \n  <li>Module 11D – Handouts</li> \n  <li>Module 11E – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946504_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-9946504-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=vd00et&amp;course_id=_233190_1&amp;ctxMenuXythosId=103909318_2&amp;course_id=_233190_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_b7da7fcaca0242a1a13806f8171e158d,open_with_browser_b7da7fcaca0242a1a13806f8171e158d,open_with_bbdrive_b7da7fcaca0242a1a13806f8171e158d,openWebId_b7da7fcaca0242a1a13806f8171e158d,view360Id_b7da7fcaca0242a1a13806f8171e158d,*separator*,*separator*,ax-ally-placeholder_b7da7fcaca0242a1a13806f8171e158d,ax-ally-markForAxAnalysis_b7da7fcaca0242a1a13806f8171e158d,*separator*,*separator*,content_settings_b7da7fcaca0242a1a13806f8171e158d,content_editSettings_b7da7fcaca0242a1a13806f8171e158d,content_edit_b7da7fcaca0242a1a13806f8171e158d,properties_folder_b7da7fcaca0242a1a13806f8171e158d,itemcarot_managerecord_b7da7fcaca0242a1a13806f8171e158d,comments_tool_b7da7fcaca0242a1a13806f8171e158d,subscriptions_list_b7da7fcaca0242a1a13806f8171e158d,content_readfile_b7da7fcaca0242a1a13806f8171e158d,content_overwrite_b7da7fcaca0242a1a13806f8171e158d,passes_tool_b7da7fcaca0242a1a13806f8171e158d,permissions_tool_b7da7fcaca0242a1a13806f8171e158d,content_add_alignment_b7da7fcaca0242a1a13806f8171e158d,content_tracking_b7da7fcaca0242a1a13806f8171e158d,content_versions_b7da7fcaca0242a1a13806f8171e158d,*separator*,*separator*,bookmarkId_b7da7fcaca0242a1a13806f8171e158d,itemsId_b7da7fcaca0242a1a13806f8171e158d,packagesId_b7da7fcaca0242a1a13806f8171e158d,emailId_b7da7fcaca0242a1a13806f8171e158d,removeContentFolderId_b7da7fcaca0242a1a13806f8171e158d,*separator*,copyContentId_b7da7fcaca0242a1a13806f8171e158d,moveContentId_b7da7fcaca0242a1a13806f8171e158d,*separator*,removeContentId_b7da7fcaca0242a1a13806f8171e158d,*separator*,Metadata_General_b7da7fcaca0242a1a13806f8171e158d,Metadata_Dublin_Core_b7da7fcaca0242a1a13806f8171e158d,Metadata_IMS_b7da7fcaca0242a1a13806f8171e158d,Metadata_Full_IMS_b7da7fcaca0242a1a13806f8171e158d,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_b7da7fcaca0242a1a13806f8171e158d\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_b7da7fcaca0242a1a13806f8171e158d',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_b7da7fcaca0242a1a13806f8171e158d',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_b7da7fcaca0242a1a13806f8171e158d',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('b7da7fcaca0242a1a13806f8171e158d');\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 8.1 - 8.4</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 11A – Handouts</li> \n  <li>Module 11B – Handouts</li> \n  <li>Module 11C – Handouts</li> \n  <li>Module 11D – Handouts</li> \n  <li>Module 11E – Handouts</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_9946504_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_233190_1&content_id=_9826965_1&mode=view",
        "title": "Module 11 Discussion Question 2 - Weights"
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