Most real aircraft don't have center sprung controls.
Yes, but in these are aerodynamic forces acting over the control surfaces...
Some time ago Tarmac Aces - now out of busines - make a joystick (universal base with many grips options) that act like you
desire, since use hidraulic dampers instead springs, the lever stay where you leave. But now "is history".
Maybe you find the same system in this low production stick dedicated do helicopter simulation - but they are expensive.
Edit - sample: http://www.maxflightstick.com/MaxFighter_Standard.html
Or maybe the (expensive) Paccus Hawk Hidraulic Force Feedback acts in the same manner...
- the CH Flightstick Pro is described as having a "unique centering system" // Is this what I am looking for?
The only difference in this is to have one spring for each axis - X and Y - so you have a pronounced axis transition.
Their gimbals are built similar to R/C radio gimbals - another sticks use the same system. And they have the same "spring center force".
User modified Saitek stick with dampers to fly Black Shark.http://www.youtube.com/watch?v=Sle-xYRj2wo