This would be a very non-linear (also non-smooth) disturbance where pendulum axis joint becomes 'stuck' if the angular velocity drops below a small threshold and the torque is low. A slightly higher torque is then needed to 'free' the joint. I think there are some simple coefficients and formulas to implement sticktion.
Another non-linear effect which is common in mechanical systems would be some 'looseness' or hysteresis in the drive system. Perhaps a first order dynamic with a very short time constant.
'Sticktion' is the static friction that needs to be overcome to enable relative motion of stationary objects in contact.
This would be a very non-linear (also non-smooth) disturbance where pendulum axis joint becomes 'stuck' if the angular velocity drops below a small threshold and the torque is low. A slightly higher torque is then needed to 'free' the joint. I think there are some simple coefficients and formulas to implement sticktion.