Angle Numbers also explain the rotations in the 3-dimension easily. The system of Angle Numbers includes all number systems from Natural numbers to Vectors. Imaginary Number i is a vector in Angle Number system.
What is the difference between Euler angles and 3-d rotational affine transformations? Is one an application of another, or are they different models for representing the same thing (rotation)? Edit: One other question if I may - I don't understand the usage of inverse tangent at 8:50. Can't you use arccos and arcsin alone instead? psi = arcsin( R32 / sin(theta)) = arccos( R31 / -sin(theta)) ? So why bother with the inverse tangent?
@@gzitterspiller I feel that one can achieve a reasonable control system if one inputs an acceleration signal as follows:- acceleration =K1*( error of velocities of input and output) + K2*( error of position between input and output) + K3*( integral of position error) Assuming output position is X and output velocity IS X1, and output acceleration X2 and I is input location and I1= velocity of input and INT = integral of error then:- X2= K1*( I1-X1) +K2*( I - X) + K3 * ( INTEGRAL OF (I - X)) X1-X1+X2 X=X+X1 INT=INT+ (1-X) The integral will take care of constant wind loading or other external steady loads detected by gyros and accelerometers while GPS signals will see to locations and velocities
North and South poles are the only places on Earth that aren't affected by its rotation. I'm assuming that results in some exceptions In angle calculations that would work for the rest of the world.
Can you please repeat how will we get the total rotation from a to d by multiplying the intermediate forms.. Can you show the notation again.. Just to clarify
Prefer the blackboard writing out the key concepts and figures one at a time along with the explanation of the subject , instead of presenting all at once those well- prepared graphics at a fast pace.
Awesome lecture, professor. Delivered all the main concepts in a succinct and clear language. Thanks much.
Best video about Euler angles! thanks.
Loved it. Totally understood the concept.
This is insanely helpful! Thank you so much
Eloquent, informative, outstanding
Angle Numbers also explain the rotations in the 3-dimension easily.
The system of Angle Numbers includes all number systems from Natural numbers to Vectors.
Imaginary Number i is a vector in Angle Number system.
for pitch rotation angle made with Tetha ... and yaw is in phi
잘듣고있습니다:)
What is the difference between Euler angles and 3-d rotational affine transformations? Is one an application of another, or are they different models for representing the same thing (rotation)?
Edit: One other question if I may - I don't understand the usage of inverse tangent at 8:50. Can't you use arccos and arcsin alone instead? psi = arcsin( R32 / sin(theta)) = arccos( R31 / -sin(theta)) ? So why bother with the inverse tangent?
It was concise and really helpful..Thank You Sir!
Hi .can you give me your facebook account to contact
@@toppoint360 Why?
@@toppoint360 LMAO! Not even trying to be discrete about the scam they are trying to run
Delightful see indian girl here..
@7:15 is the first rotation through "Si" about Z axis and the second rotation about Z axis (overall third rotation ) "phi"?
Thank you for the information.
Great lecture!
thanks man i love ur uni
amazing !!
Wow, all this math that goes into engineering a drone.
It isnt much if you ask me... I mean... it just linear algebra, the problems arribe with designing the controller and linearizing the model.
@@gzitterspiller I feel that one can achieve a reasonable control system if one inputs an acceleration signal as follows:-
acceleration =K1*( error of velocities of input and output) + K2*( error of position between input and output) + K3*( integral of position error)
Assuming output position is X and output velocity IS X1, and output acceleration X2 and I is input location and I1= velocity of input and INT = integral of error then:-
X2= K1*( I1-X1) +K2*( I - X) + K3 * ( INTEGRAL OF (I - X))
X1-X1+X2
X=X+X1
INT=INT+ (1-X)
The integral will take care of constant wind loading or other external steady loads detected by gyros and accelerometers while GPS signals will see to locations and velocities
always had been
Is the answer for the que asked at last is 2?
Nowadays we use the vastly more powerful vector and quaternion rotation systems. Thanks, Hamilton!
What is special about being at North or South pole? I didn't get the analogy.
North and South poles are the only places on Earth that aren't affected by its rotation. I'm assuming that results in some exceptions In angle calculations that would work for the rest of the world.
Can you please repeat how will we get the total rotation from a to d by multiplying the intermediate forms.. Can you show the notation again.. Just to clarify
The best!
which coursera course is this one?
the arieal robotics one
How about theta being equal 180 degrees
Colinear as well, only opposite direction
that was a nice lecture, but I was looking for the process of making the Rotation matrix with the euler angles.
Thanks!
Why does he say 4 Euler angles at 11:40?
Why make it look like taking the cross product though?
Nice explaination
Wouldn't you want to multiply the matrices in the reverse order of how you want the rotations to be implemented?
Reverse order is when using World frame as referance for all rotations. Rotating about current frame follows this sequence.
good
10x a lot
In a video, an animation would we worth ten slides and would help immensely the students to picture how the Euler angles work.
You're applying the component rotations in the wrong order when forming R.
He is the first Indian guy who speaks English in a proper way I've seen so far.
Unlike dis, dat and dee-uder thing.
You are right
shutup
You need to go outside more often man!!
What about Sal Khan?
Prefer the blackboard writing out the key concepts and figures one at a time along with the explanation of the subject , instead of presenting all at once those well- prepared graphics at a fast pace.
Why am I here?
this is th wost explanation of all time, sorry.