Robotics
date_range Starts on September 21, 2020
event_note End date December 8, 2020
list 10 sequences
assignment Level : Advanced
chat_bubble_outline Language : English
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Key Information

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verified_user Fee-based Certificate
timer 80 hours in total

About the content

We think of Robotics as the science of building devices that physically interact with their environment. The most useful robots do it precisely, powerfully, repeatedly, tirelessly, fast, or some combinations of these. The most interesting robots maybe even do it intelligently. This course will cover the fundamentals of robotics, focusing on both the mind and the body.

We will learn about two core robot classes: kinematic chains (robot arms) and mobile bases. For both robot types, we will introduce methods to reason about 3-dimensional space and relationships between coordinate frames. For robot arms, we will use these to model the task of delivering a payload to a specified location. For mobile robots, we will introduce concepts for autonomous navigation in the presence of obstacles.

Class projects will make use of ROS - the open-source Robot Operating System (www.ros.org) widely used in both research and industry. Computer requirements for working on the projects will include a computer set up with Ubuntu Linux and high bandwidth internet access for downloading and installing ROS packages.

  • Represent 2D and 3D spatial relationships, homogeneous coordinates
  • Manipulate robot arms: kinematic chains, forward and inverse kinematics, differential kinematics
  • Program and navigate mobile robots: robot and map representations, motion planning
  • Plan complete robot systems
  • Develop present and future applications for robots

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Prerequisite

  • College-level introductory linear algebra (vector spaces, linear systems, matrix decomposition)
  • College-level introductory calculus (partial derivatives, function gradients)
  • Basic knowledge of computer programming (variables, functions, control flow)
  • Projects will be carried out in the Python language, with C++ as an option

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Syllabus

Week 1

  • Introduction to Robotics
  • Homogenous coordinates and transform representations

Week 2

  • Kinematic chains
  • Forward kinematics

Week 3

  • Inverse kinematics: analytical methods

Week 4

  • Differential kinematics: Jacobian computation, singular configurations

Week 5

  • Configuration space operation

Week 6

  • Mobile robots
  • Differential drive kinematics

Week 7

  • Motion planning in robotics
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Instructors

Matei Ciocarlie
Department of Mechanical Engineering
Columbia University

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Content Designer

Columbia University
For more than 250 years, Columbia has been a leader in higher education in the nation and around the world. At the core of our wide range of academic inquiry is the commitment to attract and engage the best minds in pursuit of greater human understanding, pioneering new discoveries and service to society.
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