Character Model "Tilting" based on Controller Input

So, I've been trying to customize the standard character controller to match the procedural animation technique by Wolfire Games as shown here:

I've been applying a small rotation to the hip bone based on the key that is being pressed: W, A, S or D. However, it's not as smooth as that. The rotation is very abrupt and doesn't sway to the direction. Does anyone know how to do this, technically? It is really a hip bone rotation?

 

you can do the tilting with blendtree
or
quaternion.slerp
or
adding rotation value gradually (clamped) or by animationcurve

and this is not hip transform but object root transform rotated

 

But if i transform the root, that will make the feet of the player go up in the air and dig into the floor. :O

 

that's what feetIK is for to take care of
maybe its leg limbs separate here, off the upperbody. so not the whole root, but the legs parent is rotated...

but if this is not traditionally animated, then all the limbs of the skeleton, must be rotated separately

or maybe I'm totally off and it's completely different

 

Bumping.

 

Bump?

 

bump!