Introduction to Robot Kinematics
This video is the first in a series on robot kinematics using Robo-Analyzer software. It provides a foundational understanding of kinematics and its application to serial robots.
What is Robot Kinematics?
- Robot: A device designed to carry out tasks involving motion.
- Kinematics: The study of motion without considering the forces that cause or result from that motion.
- Robot Kinematics: The study of robot motion focusing purely on geometry and time.
Types of Robots
- Moving Base Robots: Aerial (drones), underwater (ROVs), mobile/wheeled robots.
- Fixed Base Robots:
- Parallel Robots: Links form closed loops (e.g., Delta robots).
- Serial Robots: Links and joints connected in a single chain from base to end-effector (e.g., robotic arms).
Focus: This lecture series focuses on serial robots, which are standard in introductory robotics courses.
Forward vs. Inverse Kinematics
Using a simple 2-link planar robot (joint angles θ1, θ2; end-effector point P with coordinates Px, Pγ):
- Forward Kinematics (FK): Given joint angles (θ1, θ2), calculate the end-effector position (Px, Pγ). The "forward" direction is from the base to the tip.
- Inverse Kinematics (IK): Given a desired end-effector position (Px, Pγ), calculate the required joint angles (θ1, θ2).
Importance: Inverse kinematics is essential for planning robot motions to reach specific targets.
Upcoming Videos in This Series
The outline for subsequent videos includes:
- Video 2: Analytical method for a 2R planar manipulator (FK).
- Video 3: MATLAB/Octave programming for a 2R planar manipulator (FK).
- Video 4: Analytical FK for a planar 3R manipulator.
- Video 5: MATLAB program for a 3R planar manipulator (FK).
- Video 6: Analytical and geometric methods for IK of a planar 2R manipulator.
- Video 7: MATLAB program for IK of a 2R planar manipulator.
- Video 8: Formulation and MATLAB program for IK of a planar 3R manipulator.
- Video 9: Exporting trajectory data from MATLAB to Robo-Analyzer for animation.
About Robo-Analyzer and the Instructor
- Software: Robo-Analyzer is a free tool for learning robot kinematics, developed at IIT Delhi under Prof. Subhir Kumar Saha.
- Instructor: Rajiv, an assistant professor at Amrita School of Engineering, Bangalore, involved in Robo-Analyzer development since his MS research at IIT Delhi.
This series is part of a Robo-Analyzer based online competition to help learners apply these concepts practically.
hi this is a series of video lectures related to learning robot kinematics
using robo-analyzer as a part of robo analyzer based online computation roc
contents of video one on 10 and this is as i mentioned it is part of rob analyzer
based online competition okay so let me get started with today's lecture on
introduction to robot kinematics so i am going to start using my digitizer so please make sure you also
write down whatever i write here introduction to robot
kinematics ok so this is a series of lecture so let me just give
a very brief overview of what are the different topics we have we have a robot and we
have kinematics a robot is basically a device
that can carry out tasks okay so obviously when we want it to carry
out tasks it will definitely have motion okay so what is kinematics
kinematics is basically study of motion okay so when we say robot kinematics
that means study of motion of robots okay so without break within bracket what i'll write is study of motion
without considering the forces causing the motion
or caused due to motion okay so that is what is kinematics now let us look at different types of
robots very briefly so they can be clarified as moving base
or fixed base under moving base you can have various categories like
aerial okay then under water then mobile robots or wheeled robots
so on and so forth under fixed base will have parallel robots
and serial robots okay so in this set of uh lectures we'll be focusing
more on the serial robots okay for other types of robots there are
topics that are available and these are usually kind of advanced topics so typically in a
undergraduate or post graduate mechanical engineering based robotics course we always start with
serial robots now the serial robots are basically something which have
one fixed link and then we have a set of links that are connected in series okay so these are the links
we call links and what we have here are known as joints
okay now obviously i'll just hurry up here because i don't want to have too long
videos so what do we deal with forward kinematics of serial robots if kin stands for forward
kinematics of serial planar manipulators
okay or planar serial manipulators depending on how you write that down
okay so in this rest of the video we'll be looking at what is forward kinematics very briefly and what is inverse
kinematics okay let us take a scenario of i have a simple robot like this
so there is a simple robot which has two links and two joints and let us assume i have a point here
okay let us give that some name p and if we have a coordinate system here x y so obviously the point p
will have two coordinates along x i'll call it as p x and along y
we'll call it as p y so if we know individual joint values so for example
in this particular case we'll understand what it is so let me give some angle here say let's
say theta 1 and i'll extend this link and i'll say give this angle as
theta 2 if theta 1 and theta two are given
determine p x and p y ok so when we do this we call it as
forward kinematics that means we are going in the forward direction from the base to the
tip so at that tip p is known as end effector point or sometimes it is also known as
pose we will come to that later ok now obviously when we have something known as
fkin we should also have ik that is inverse kinematics ok so what does inverse kinematics mean
that means if p x and p y
are given determine theta 1 and theta 2
okay so when we do this we call it as inverse kinematics obviously you may be wondering why is it
so important obviously it is important because whenever we want robot to move
we would be using inverse kinematics and forward kinematics to perform the motion okay so this is a very brief
overview of what is fkin ikit and in the remaining videos let me just very quickly
go through so in the video 1 we have covered inverse kinematics and forward
kinematics introduction and in video 2 we'll have we'll take up a 2r
planar manipulator analytical method in the video three we will also introduce you to matlab
and octave which is a free version or alternative of matlab and then we'll see how to write matlab
program for for kinematics of 2r planar manipulator then we look at forward kinematics of planar
3r manipulator which can be solved using analytical method again we will be looking at
the matlab program for yeah so this should be 3r so it will be matlab program for
3r planar manipulator then we look at inverse kinematics of planar 2r
it can be solved in analytical as well as geometric method then we look at the matlab program
then again formulation for inverse kinematics of planar 3r manipulator and the corresponding matlab program
and finally we will also see how to export data from matlab or octave for motion planning
purposes we will try to draw some circles or straight lines here
and then we can import these trajectory in row analyzer and then perform animation okay
so a very brief about again robo analyzer based online competition so this is the organizing committee
comprising of myself rajiv lochna and some of these videos are extension
of the other videos that are found on our robonalyzer website if you go to robonalyzer website
so you will see video lectures link so these are the earlier videos that have been created in another
event so the videos that i am going to record right now will also come in the same page
okay and very brief about myself my name is rajiv and i'm an assistant professor
in the amrita school of engineering in bangalore i've been associated with the
development of robonaut laser software since i did my ms research at iit delhi the software has been developed under
the able guidance of professor subhir kumar saha and please
try to go through all the videos in these series and hopefully it will help thank you
Robot kinematics studies robot motion purely in terms of geometry and time, without considering the forces or torques that cause the motion. This is different from robot dynamics, which includes forces. By focusing only on positions, angles, and velocities, kinematics simplifies the analysis of how robot links and joints move relative to each other.
Forward kinematics (FK) calculates the end-effector position given known joint angles, moving from the base toward the tip. Inverse kinematics (IK) does the opposite: given a desired end-effector position, it finds the required joint angles. IK is crucial for practical tasks like reaching a specific target, while FK is often simpler and has a unique solution.
The series focuses on serial robots (e.g., robotic arms) because they are standard in introductory robotics courses and have a simple, open-chain structure from base to end-effector. Parallel robots (like Delta robots) have closed-loop kinematics, which is more complex. Mobile robots involve additional considerations like navigation and are covered separately.
For a 2-link planar robot with joint angles θ1 and θ2, forward kinematics uses these angles to compute the (Px, Py) coordinates of the end-effector. Inverse kinematics starts with a desired (Px, Py) and solves for the required θ1 and θ2. This fundamental contrast helps learners understand the two core problems in robot motion planning.
The series takes a hands-on approach: after explaining analytical methods in Videos 2 and 4, it teaches you to program FK in MATLAB/Octave (Videos 3, 5). Then Videos 6-8 cover analytical/geometric methods and MATLAB coding for IK of 2R and 3R planar manipulators. Video 9 shows how to export trajectory data to Robo-Analyzer for 3D animation, bridging theory and simulation.
Robo-Analyzer is a free, educational software developed at IIT Delhi under Prof. Subhir Kumar Saha for learning robot kinematics. It allows you to visualize robot motion, validate analytical results, and animate trajectories. The instructor, Rajiv, contributed to its development during his MS research, so the series is deeply integrated with the software’s capabilities.
This video establishes the core concepts: what kinematics is, the distinction between FK and IK using a simple 2-link planar robot, and the focus on serial robots. It then outlines a clear, step-by-step plan for the next 8 videos that will teach analytical methods, MATLAB programming, and simulation export, ensuring a logical progression from theory to practical implementation.
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