I recently got into paragliding, but I am quite confused on how their controls work.
I am quite aware of how the control surfaces work on fixed-wing aircraft. Let's use for example an aileron. Lowering the aileron, increases the angle of attack of this wing, increasing lift, making the aircraft to roll.
On paragliders, things seem very confusing for me.
The theory
The control acts as a "brake". By pulling one brake there is an asymmetry in drag, causing the wing to yaw. Due to the yawing motion a difference in airspeed in the two sections of the wing causes a difference in lift, having as a side-effect the aircraft to roll too.
Thus pulling the right brake, makes the aircraft yaw to the right, and then roll to the right.
My thoughts
While one of the controls is pulled, the trailing edge gets lowered. This also lowers the aft-portion of the wing cord, increasing the angle of attack. I would expect that this would also increase the lift of this portion of the wing causing the to raise.
Thus pulling the right brake, makes the aircraft roll to the left.
For me, there seems to be nothing special with brakes. For example, in case of emergency (brake line failure), I can use the C-risers to alter the angle of attack of one part of the wing to turn. But then again the same paradox happens. I pull the right C-riser, the right wing has increased angle of attack, but still it dives!
How exactly do paraglider "brakes" work? What makes them behave as a brake, and not as an aileron?