I have found this topic but I am not allowed to answer.
https://www.physicsforums.com/threads/fuzzy-logic-control-vs-pid.667717/
I have the same concern that the fuzzy is basically similar to a proportional control.
In the thread I liked above, there is also this link...
After long time I was dealing a little bit more with this issue. I thank all of you again for the support. I am sure that by using the sign function we capture the wheel behavior properly. :)
Next, we may want to include the effect the accelerating/braking actions have on the weight transfer as...
Hello all,
I have a problem with an inequality.
Let
Is the following proof valid?
from which, taking the norm to both sides yields
where L is the Lipschitz constant of f w.r.t. x.
Thus, can I conclude that
Is it correct?
Thanks :)
Hi all. The value of T is actually the effective torque applied to the wheel, which includes all the torques applied to the wheel. For simplicity, I assumed that when T>0 we are "braking" and when T<0 we are accelerating. I don't think this assumption loses generality.
However, I think I have...
Thanks again for the reply. As you suggest it would be enough to consider the equation
m\dot v = F*sgn(rω-v)
J\dot w = -rF*sgn(rω-v)+T
But in this case it is equivalent to split the dynamics as
m\dot v = F
J\dot ω = -rF+T
if rω>v and
m\dot v = -F
J\dot ω = rF+T
if rω<v and...
Yes, exactly.
Yes, exactly. But the case you describe is the situation for which the wheel speed is smaller than the longitudinal speed. In this case, the wheel speed will go to zero at some point (despite the longitudinal speed is different from zero and may be very high) and the wheel starts...
Hi! I will take a look at the link you provided me. Thank you. :)
Regarding the torque I have considered that the rotation axis is "entering" the screen, therefore you have negative torque -> acceleration and positive torque -> braking (I agree that is less intuitive).
I also understand...
Hi all.
Reading on several books and papers, I found that the motion of a wheel moving on a flat surface are given by (assume that positive torques are counter-clockwise and the positive direction of the motion is toward the right direction):
m \dot v=F
J \dot ω=-rF+T
for T<0, where m...
Hi! Thanks for the answer.
I agree with you that I should use the term "skidding" and "rolling resistance" :)
Yes, I mean to stop skidding (F exceeds the static friction, but what about the rolling resistance? I guess there is not rolling resistance because the wheel is skidding and not...
Hi all. I'm struggling to understand how and where the friction forces that appear on the motion of a wheel on a flat surface, but I don't know if I understand it properly. I hope that you can help me. I try to describe the problem as follows.
When a wheel is not moving, and there are no...