{"id":1055,"date":"2026-06-15T18:11:45","date_gmt":"2026-06-15T17:11:45","guid":{"rendered":"https:\/\/ramyrashad.com\/?page_id=1055"},"modified":"2026-06-15T20:27:41","modified_gmt":"2026-06-15T19:27:41","slug":"geometric-modeling-and-control-of-robotic-systems-term-252","status":"publish","type":"page","link":"https:\/\/ramyrashad.com\/index.php\/geometric-modeling-and-control-of-robotic-systems-term-252\/","title":{"rendered":"Geometric Modeling and Control of Robotic Systems &#8211; Term 252"},"content":{"rendered":"\n<p><strong>KFUPM Code:<\/strong><\/p>\n\n\n\n<p>SCE 594: Special Topics in Intelligent Automation and Robotics<\/p>\n\n\n\n<p><strong>Catalog Description:<\/strong><\/p>\n\n\n\n<p>In-depth exploration of geometric modeling and control techniques for robotic systems, focus on the application of Lie group theory. Students learn how to model and control complex robotic systems by leveraging the mathematical structures of Lie groups and Lie algebras. Key topics include rigid body kinematics, dynamics on Lie groups, feedback control design, and geometric integration techniques. Emphasis on applications to drones, robotic arms, and other mechanical systems. Combines theoretical foundations with hands-on implementation of control algorithms, prepares students for advanced research in robotics.<\/p>\n\n\n\n<p><strong>Course learning objectives:<\/strong><\/p>\n\n\n\n<ul>\n<li>Model complex robotic systems using Lie group theory.<\/li>\n\n\n\n<li>Study and apply rigid body dynamics on Lie groups for both fixed-base and floating-base manipulators.<\/li>\n\n\n\n<li>Analyze and utilize the mathematical structures of Lie groups and Lie algebras in control applications.<\/li>\n\n\n\n<li>Develop and implement geometric control algorithms for multirotor UAVs, robotic arms, and other mechanical systems.<\/li>\n\n\n\n<li>Integrate theoretical knowledge with hands-on implementation to prepare for advanced research in robotics.<\/li>\n<\/ul>\n\n\n\n<p><strong>New Additions \/ Modifications:<\/strong><\/p>\n\n\n\n<ul>\n<li>2 more lectures on Mathematical foundations<\/li>\n\n\n\n<li>Geometric Stabilization Control on SE(3)<\/li>\n\n\n\n<li>Geometric Impedance Control on SE(3)<\/li>\n\n\n\n<li>More Exercise Problems<\/li>\n\n\n\n<li>MATLAB Tutorials on Manipulator Modeling and Control using &#8220;Robotic Systems Toolbox&#8221;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"252 - SCE 594 - Lecture 1: Course Introduction &amp; Set theory basics\" width=\"790\" height=\"444\" src=\"https:\/\/www.youtube.com\/embed\/MHismMUkKPM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Topic<\/td><td>Slides<\/td><td>Class Notes<\/td><td>Homework\/ Assignment<\/td><td>Recording (Youtube Link)<\/td><\/tr><tr><td>1. Mathematical foundations<\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec1.pdf\" title=\"SCE 594 - 252 - Lec 1\">Lecture 1: Course Introduction &amp; Set Theory Basics<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec1_Class.pdf\" title=\"\">Lec 1 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/www.youtube.com\/watch?v=MHismMUkKPM\" title=\"\">Lecture 1<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec2.pdf\" title=\"SCE 594 - 252 - Lec 2\">Lecture 2: Maps between Sets and Groups<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec2_Class.pdf\" title=\"\">Lec 2 Notes<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_-HW1.pdf\" title=\"\">HW1<\/a><\/td><td><a href=\"https:\/\/youtu.be\/n1VfcwQNCQA?si=Z7uLVyhV_SDtue3x\" title=\"\">Lecture 2<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec3.pdf\" title=\"SCE 594 - 252 - Lec 3\">Lecture 3: Vector Spaces I<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec3_Class.pdf\" title=\"\">Lec 3 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/6QlF2G3Alvw?si=RY71wRR44Od5nq7k\" title=\"Lecture 3\">Lecture 3<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec4.pdf\" title=\"SCE 594 - 252 - Lec 4\">Lecture 4: Vector Spaces II<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec4_Class.pdf\" title=\"\">Lec 4 Notes<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Asg1.pdf\" title=\"\">Asg1<\/a><\/td><td><a href=\"https:\/\/youtu.be\/N48Y972h-4Q?si=zJtgDsl-VsYoRjcO\" title=\"\">Lecture 4<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec5.pdf\" title=\"SCE 594 - 252 - Lec 5\">Lecture 5: Vector Spaces III<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec5_Class.pdf\" title=\"\">Lec 5 Notes<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_-HW2.pdf\" title=\"\">HW2<\/a><\/td><td><a href=\"https:\/\/youtu.be\/Wsd1pWPOKFE?si=QgcWC75U7119odnx\" title=\"\">Lecture 5<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec6.pdf\" title=\"SCE 594 - 252 - Lec 6\">Lecture 6: Manifolds and Lie Groups I<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec6_Class.pdf\" title=\"\">Lec 6 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/hnDnUHc6UVQ?si=I3qvyLHKmu2FAewm\" title=\"\">Lecture 6<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec7.pdf\" title=\"SCE 594 - 252 - Lec 7\">Lecture 7: Manifolds and Lie Groups II<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic1_Lec7_Class.pdf\" title=\"\">Lec 7 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/ohWSRsj4nlc?si=eOkEYzJzQn_7Cxj8\" title=\"\">Lecture 7<\/a><\/td><\/tr><tr><td>2. Rigid Body Modeling<\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec8.pdf\" title=\"SCE 594 - 252 - Lec 8\">Lecture 8: Configuration space of a rigid body<\/a><\/td><td><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/D3GxVKkfP9E?si=Ot57Xk8yJMnXeugU\" title=\"\">Lecture 8<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec9.pdf\" title=\"SCE 594 - 252 - Lec 9\">Lecture 9: Rigid body kinematics I<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec9_Class.pdf\" title=\"Lec 9 Notes\">Lec 9 Notes<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Asg2.pdf\" title=\"\">Asg2<\/a><\/td><td><a href=\"https:\/\/youtu.be\/9vqqoKQVdh8?si=CKSlB6ffaKmDFgrx\" title=\"Lecture 9\">Lecture 9<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec10.pdf\" title=\"SCE 594 - 252 - Lec 10\">Lecture 10: Rigid body kinematics II<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec10_Class.pdf\" title=\"\">Lec 10 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/MTTN4uLMpzw?si=qPagtQuskYuLu5ex\" title=\"Lecture 10\">Lecture 10<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec11.pdf\" title=\"SCE 594 - 252 - Lec 11\">Lecture 11: Rigid body dynamics I<\/a><\/td><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_-HW3.pdf\" title=\"\">HW3<\/a><\/td><td><a href=\"https:\/\/youtu.be\/kPKtoxSwrZ8?si=CV-nqxzpxD21yyoo\" title=\"Lecture 11\">Lecture 11<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec12.pdf\" title=\"SCE 594 - 252 - Lec 12\">Lecture 12: Rigid body dynamics II<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic2_Lec12_Class.pdf\" title=\"\">Lec 12 Notes<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Asg3.pdf\" title=\"\">Asg3<\/a><\/td><td><a href=\"https:\/\/youtu.be\/4I4sRokE4X8?si=QXzocK8GgNaIm3PC\" title=\"\">Lecture 12<\/a><\/td><\/tr><tr><td>3. Fixed-base manipulator modeling<\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic3_Lec13.pdf\" title=\"SCE 594 - 252 - Lec 13\">Lecture 13: Modeling Ideal Joints<\/a><\/td><td><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/5EBEd0Co30k?si=D2YYLm8hjcyoNprE\" title=\"\">Lecture 13<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic3_Lec14.pdf\" title=\"SCE 594 - 252 - Lec 14\">Lecture 14: Forward and Differential Kinematics<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic3_Lec14_Class.pdf\" title=\"Lec 14 Notes\">Lec 14 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/Nk_-eU95SNs?si=VLxru3BjTEolyIp8\" title=\"\">Lecture 14<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic3_Lec15.pdf\" title=\"SCE 594 - 252 - Lec 15\">Lecture 15: Dynamics of Fixed-base Manipulators I<\/a><\/td><td><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/O3_BcoezerU?si=l3IqC2fy0mvg8ttu\" title=\"\">Lecture 15<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic3_Lec16.pdf\" title=\"SCE 594 - 252 - Lec 16\"><br>Lecture 16: Dynamics of Fixed-base Manipulators II<\/a><\/td><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_-HW4.pdf\" title=\"\">HW4<\/a><\/td><td><a href=\"https:\/\/youtu.be\/rIckdiXvDmI?si=XFvmztb_1WS89Vga\" title=\"Lecture 16\">Lecture 16<\/a><\/td><\/tr><tr><td>4. Stability and control of mechanical systems<\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec17.pdf\" title=\"SCE 594 - 252 - Lec 17\">Lecture 17: Equilibrium points and Stability Notions<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec17_Class.pdf\" title=\"\">Lec 17 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/Yh_TAbkcLgA?si=chY8oM8FTeIbQPro\" title=\"Lecture 17\">Lecture 17<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec18.pdf\" title=\"SCE 594 - 252 - Lec 18\">Lecture 18: Lyapunov\u2019s direct method I<\/a><\/td><td><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/UjCrYFeXB4o?si=twAN1oiF--K-8nJh\" title=\"Lecture 18\">Lecture 18<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec19.pdf\" title=\"SCE 594 - 252 - Lec 19\">Lecture 19: Lyapunov\u2019s direct method II<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec19_Class.pdf\" title=\"\">Lec 19 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/KQA0pLuOIyE?si=tU-JW2AT-BXqkOAR\" title=\"Lecture 19\">Lecture 19<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec20.pdf\" title=\"SCE 594 - 252 - Lec 20\">Lecture 20: La Salle\u2019s Invariance Principle &amp; PD Control on R3<\/a><\/td><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Asg4.pdf\" title=\"\">Asg4<\/a><\/td><td><a href=\"https:\/\/youtu.be\/hjwWAObHq_k?si=lR0x_k31slPXYudv\" title=\"Lecture 20\">Lecture 20<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec21.pdf\" title=\"SCE 594 - 252 - Lec 21\">Lecture 21: Stabilization Control on SO(3) I<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec21_Class.pdf\" title=\"\">Lec 21 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/Rn4OtXxLqWA?si=jkETjP0IzJs1C5zG\" title=\"Lecture 21\">Lecture 21<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec22.pdf\" title=\"SCE 594 - 252 - Lec 22\">Lecture 22: Stabilization Control on SO(3) II<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec22_Class.pdf\" title=\"\">Lec 22 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/PuMVZrOmohE?si=9ZSXPbMm7mmV6a7n\" title=\"Lecture 22\">Lecture 22<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic4_Lec23.pdf\" title=\"SCE594_LecSCE 594 - 252 - Lec 2323_Topic5\">Lecture 23: Stabilization Control on SO(3) III and SE(3)<\/a><\/td><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Asg5.pdf\" title=\"\">Asg5<\/a><\/td><td><a href=\"https:\/\/youtu.be\/3P1vHyYmU-c?si=h-AkuypDkN0TKkAi\" title=\"Lecture 23\">Lecture 23<\/a><\/td><\/tr><tr><td>5. Control of Fixed-Base Manipulators<\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic5_Lec24.pdf\" title=\"SCE 594 - 252 - Lec 24\">Lecture 24: Motion Control<\/a><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic5_Lec24_Class.pdf\" title=\"Lec 24 Notes\">Lec 24 Notes<\/a><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/dhdxVV5bvTo?si=vd2Fg7x8r5nQ2zOO\" title=\"\">Lecture 24<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic5_Lec25.pdf\" title=\"SCE 594 - 252 - Lec 25\">Lecture 25: Impedance Control I<\/a><\/td><td><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/NvhxbhnBGjY?si=rvYJRIJalx3ih_ss\" title=\"\">Lecture 25<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic5_Lec26.pdf\" title=\"SCE 594 - 252 - Lec 26\">Lecture 26: Impedance Control II<\/a><\/td><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_-HW5.pdf\" title=\"\">HW5<\/a><\/td><td><a href=\"https:\/\/youtu.be\/mWqJjhSWvjM?si=pbPesfJ2BJy5cb7y\" title=\"\">Lecture 26<\/a><\/td><\/tr><tr><td><\/td><td><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/SCE594_Topic5_Lec27.pdf\" title=\"SCE 594 - 252 - Lec 27\">Lecture 27: Impedance Control III<\/a><\/td><td><\/td><td><\/td><td><a href=\"https:\/\/youtu.be\/mWqJjhSWvjM?si=pbPesfJ2BJy5cb7y\" title=\"\">Lecture 27<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>MATLAB Tutorials<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/MATLAB-Tutorials-1-4.zip\" title=\"\">Tutorial Series &#8211; Robot Modeling<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/youtube.com\/playlist?list=PLb-BpOnWHoLY7qV3fB73x8vT9MbOKuta-&amp;si=_kYv2kfq7cjvtY-c\" title=\"\">Youtube Playlist<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"443\" src=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/image-1024x443.png\" alt=\"\" class=\"wp-image-1138\" srcset=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/image-1024x443.png 1024w, https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/image-300x130.png 300w, https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/image-768x333.png 768w, https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/image.png 1143w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><a href=\"https:\/\/ramyrashad.com\/wp-content\/uploads\/2026\/06\/MATLAB-Tutorials-5-6.zip\" title=\"\">Tutorial Series &#8211; Robot Control<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>KFUPM Code: SCE 594: Special Topics in Intelligent Automation and Robotics Catalog Description: In-depth exploration of geometric modeling and control techniques for robotic systems, focus on the application [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"ub_ctt_via":"","_mi_skip_tracking":false,"footnotes":""},"aioseo_notices":[],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/pages\/1055"}],"collection":[{"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/comments?post=1055"}],"version-history":[{"count":33,"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/pages\/1055\/revisions"}],"predecessor-version":[{"id":1166,"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/pages\/1055\/revisions\/1166"}],"wp:attachment":[{"href":"https:\/\/ramyrashad.com\/index.php\/wp-json\/wp\/v2\/media?parent=1055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}