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Modern Robotics, Course 2: Robot Kinematics

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Modern Robotics, Course 2: Robot Kinematics

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Gain insight into a topic and learn the fundamentals.
4.9

300 reviews

Intermediate level
Some related experience required
Flexible schedule
2 weeks at 10 hours a week
Learn at your own pace

Gain insight into a topic and learn the fundamentals.
4.9

300 reviews

Intermediate level
Some related experience required
Flexible schedule
2 weeks at 10 hours a week
Learn at your own pace

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Shareable certificate

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Assessments

17 assignments

Taught in English
86%
Most learners liked this course

Build your subject-matter expertise

This course is part of the Modern Robotics: Mechanics, Planning, and Control Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
  • Learn new concepts from industry experts
  • Gain a foundational understanding of a subject or tool
  • Develop job-relevant skills with hands-on projects
  • Earn a shareable career certificate

There are 4 modules in this course

Do you want to know how robots work? Are you interested in robotics as a career? Are you willing to invest the effort to learn fundamental mathematical modeling techniques that are used in all subfields of robotics?

If so, then the "Modern Robotics: Mechanics, Planning, and Control" specialization may be for you. This specialization, consisting of six short courses, is serious preparation for serious students who hope to work in the field of robotics or to undertake advanced study. It is not a sampler. In Course 2 of the specialization, Robot Kinematics, you will learn to solve the forward kinematics (calculating the configuration of the "hand" of the robot based on the joint values) using the product-of-exponentials formula. Your efforts in Course 1 pay off handsomely, as forward kinematics is a breeze with the tools you've learned. This is followed by velocity kinematics and statics relating joint velocities and forces/torques to end-effector twists and wrenches, inverse kinematics (calculating joint values that achieve a desired "hand" configuration), and kinematics of robots with closed chains. This course follows the textbook "Modern Robotics: Mechanics, Planning, and Control" (Lynch and Park, Cambridge University Press 2017). You can purchase the book or use the free preprint pdf. You will build on a library of robotics software in the language of your choice (among Python, Mathematica, and MATLAB) and use the free cross-platform robot simulator V-REP, which allows you to work with state-of-the-art robots in the comfort of your own home and with zero financial investment.

Product of exponentials formula for forward kinematics in the space frame and the end-effector frame.

What's included

3 videos3 readings4 assignments1 discussion prompt

3 videosβ€’Total 15 minutes
  • Product of Exponentials Formula in the Space Frame (Chapter 4 through 4.1.2)β€’7 minutes
  • Product of Exponentials Formula in the End-Effector Frame (Chapter 4.1.3)β€’5 minutes
  • Forward Kinematics Exampleβ€’3 minutes
3 readingsβ€’Total 75 minutes
  • Welcome to Course 2, Robot Kinematicsβ€’10 minutes
  • How to Make This Course Successfulβ€’5 minutes
  • Chapter 4, Forward Kinematicsβ€’60 minutes
4 assignmentsβ€’Total 170 minutes
  • Chapter 4, Forward Kinematicsβ€’80 minutes
  • Lecture Comprehension, Product of Exponentials Formula in the Space Frame (Chapter 4 through 4.1.2)β€’30 minutes
  • Lecture Comprehension, Product of Exponentials Formula in the End-Effector Frame (Chapter 4.1.3)β€’30 minutes
  • Lecture Comprehension, Forward Kinematics Exampleβ€’30 minutes
1 discussion promptβ€’Total 10 minutes
  • Screw Axis Identificationβ€’10 minutes

Velocity kinematics using the space Jacobian and body Jacobian, statics of open chains, singularities, and manipulability.

What's included

6 videos1 reading7 assignments1 discussion prompt

6 videosβ€’Total 34 minutes
  • Velocity Kinematics and Statics (Chapter 5 Introduction)β€’8 minutes
  • Space Jacobian (Chapter 5.1 through 5.1.1)β€’6 minutes
  • Body Jacobian (Chapter 5.1.2 through 5.1.4)β€’5 minutes
  • Statics of Open Chains (Chapter 5.2)β€’3 minutes
  • Singularities (Chapter 5.3)β€’7 minutes
  • Manipulability (Chapter 5.4)β€’6 minutes
1 readingβ€’Total 120 minutes
  • Chapter 5, Velocity Kinematics and Staticsβ€’120 minutes
7 assignmentsβ€’Total 270 minutes
  • Chapter 5, Velocity Kinematics and Staticsβ€’90 minutes
  • Lecture Comprehension, Velocity Kinematics and Statics (Chapter 5 Introduction)β€’30 minutes
  • Lecture Comprehension, Space Jacobian (Chapter 5.1 through 5.1.1)β€’30 minutes
  • Lecture Comprehension, Body Jacobian (Chapter 5.1.2 through 5.1.4)β€’30 minutes
  • Lecture Comprehension, Statics of Open Chains (Chapter 5.2)β€’30 minutes
  • Lecture Comprehension, Singularities (Chapter 5.3)β€’30 minutes
  • Lecture Comprehension, Manipulability (Chapter 5.4)β€’30 minutes
1 discussion promptβ€’Total 10 minutes
  • Columns of the Jacobian Matrixβ€’10 minutes

Analytical and numerical inverse kinematics.

What's included

3 videos1 reading4 assignments1 peer review1 discussion prompt

3 videosβ€’Total 14 minutes
  • Inverse Kinematics of Open Chains (Chapter 6 Introduction)β€’4 minutes
  • Numerical Inverse Kinematics (Chapter 6.2, Part 1 of 2)β€’5 minutes
  • Numerical Inverse Kinematics (Chapter 6.2, Part 2 of 2)β€’5 minutes
1 readingβ€’Total 90 minutes
  • Chapter 6, Inverse Kinematicsβ€’90 minutes
4 assignmentsβ€’Total 120 minutes
  • Chapter 6, Inverse Kinematicsβ€’30 minutes
  • Lecture Comprehension, Inverse Kinematics of Open Chains (Chapter 6 Introduction)β€’30 minutes
  • Lecture Comprehension, Numerical Inverse Kinematics (Chapter 6.2, Part 1 of 2)β€’30 minutes
  • Lecture Comprehension, Numerical Inverse Kinematics (Chapter 6.2, Part 2 of 2)β€’30 minutes
1 peer reviewβ€’Total 60 minutes
  • Modern Robotics Course 2 (Robot Kinematics) Projectβ€’60 minutes
1 discussion promptβ€’Total 10 minutes
  • Practical Issues with Numerical Inverse Kinematicsβ€’10 minutes

Forward kinematics, inverse kinematics, velocity kinematics, and statics of closed chains.

What's included

1 video1 reading2 assignments1 discussion prompt

1 videoβ€’Total 9 minutes
  • Kinematics of Closed Chains (Chapter 7)β€’9 minutes
1 readingβ€’Total 60 minutes
  • Chapter 7, Kinematics of Closed Chainsβ€’60 minutes
2 assignmentsβ€’Total 50 minutes
  • Chapter 7, Kinematics of Closed Chainsβ€’20 minutes
  • Lecture Comprehension, Kinematics of Closed Chains (Chapter 7)β€’30 minutes
1 discussion promptβ€’Total 10 minutes
  • Common Closed Chainsβ€’10 minutes

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Instructor

Instructor ratings
4.8 (46 ratings)
Northwestern University
13 Coursesβ€’100,206 learners

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Learner reviews

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Showing 3 of 300

SS
Β·

Reviewed on Sep 30, 2018

It is a great start for learning kinematics of open chain robots, i wish i could learn ore about the closed chain robots too, but they have given the boost, now its your turn to learn more and more

AW
Β·

Reviewed on Nov 20, 2023

I am extremely thankful to Professor Kevin Lynch and his team for putting in the effort to create this course.

PB
Β·

Reviewed on Aug 4, 2019

The lessons from this course are great. They help understand the practical applications from Course 1's lessons.

Frequently asked questions

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

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