What is the Space Shuttle's command law?
The Space Shuttle's manual stick mode is called Control Stick Steering (CSS).

It commands load factor in pitch (yaw is similar). In pitch it of course accounts for the existing load from vertical deceleration. And rate in roll. When released it holds the attitude.

A second submode is indicated airspeed hold (the stick controls speed via the speed brakes), else S/B operation is manual.


(NASA Space Shuttle Digital Flight Control System)