The control configuration, is defined as the restrictions imposed by the overall controller by decomposing it into a set of local controllers (sub-controllers), units, elements, blocks with predetermined links and possibly with a predetermined design sequence where subcontrollers are designed locally.
Operation involves the behavior of the system once it has been build, and this includes a lot more than control. More precisely, the control system is designed to aid the operation of the plant. Operability is the ability of the plant (together with its control system) to achieve acceptable operation (both statically and dynamically). Operability includes switchability and controllability as well as many other issues.