Yes, but only because we defined the origin to be at the pivot, with the x axis to the right and the y axis vertical, and theta being counterclockwise from the downward position. So at resting position, x is zero and y is negative. At 0 < theta < pi/2, x >0 and y
Hi, can you use statespace method next time , for any other system, I could see you use diff equation, which I could follow up easily, but for controls part, I am dealing with state space matrices, thanks for the content , very intuitive
You can convert any ordinary differential equation into a state space model. You just need to choose your state variables as theta, theta_dot, ell, and ell_dot
hi logan, I have a doubt ,I am trying to solve a nonlinear differential equation, I am looking for closed solution as a function of time , I couldn't solve with dsolve in sympy, raising error->" cannot be solved by the factorable group method " using scipy integrate gives me the array of t and q(differential parameter) values, I want to simulate the model for t-> tends to infinity, how can I do that?
You can very rarely solve a nonlinear system. Most of the time it is actually impossible (like for the pendulum). You need to simulate starting with some initial conditions
Your videos are stunning
Thanks for the video and explanation man! I wish I had this available 8 years ago.
This is sick! Great video, I like how you also went into the math as well :}.
Thanks! More to come soon!
Great 👍 video , make video like this
Assuming total length to be L, is the Lcos theta pointing down and Lsin theta pointing towards right? So y is negatiive and x is positive?
Yes, but only because we defined the origin to be at the pivot, with the x axis to the right and the y axis vertical, and theta being counterclockwise from the downward position.
So at resting position, x is zero and y is negative. At 0 < theta < pi/2, x >0 and y
Hi, can you use statespace method next time , for any other system, I could see you use diff equation, which I could follow up easily, but for controls part, I am dealing with state space matrices, thanks for the content , very intuitive
You can convert any ordinary differential equation into a state space model. You just need to choose your state variables as theta, theta_dot, ell, and ell_dot
@@logandihel yeah doing that now, thanks for the info
hi logan, I have a doubt ,I am trying to solve a nonlinear differential equation, I am looking for closed solution as a function of time , I couldn't solve with dsolve in sympy, raising error->" cannot be solved by the factorable group method "
using scipy integrate gives me the array of t and q(differential parameter) values, I want to simulate the model for t-> tends to infinity, how can I do that?
You can very rarely solve a nonlinear system. Most of the time it is actually impossible (like for the pendulum). You need to simulate starting with some initial conditions
brilliant; too bad channel seems bad, hope you'll make more
Very low volume