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
Thanks for the video and explanation man! I wish I had this available 8 years ago.
Your videos are stunning
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
brilliant; too bad channel seems bad, hope you'll make more
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
Very low volume