Even if we consider MMI perturbations as constant, this approximation can't be made for the atmospheric aberrations. The goal will be to implement a model of atmospherical perturbations that evolve in time and check if the control system is able to react quickly enough
After discussion, we land to the conclusion the system will most likely not experiment perturbation variations. There is then no need to face this hypothetical problem for the moment.
Even if we consider MMI perturbations as constant, this approximation can't be made for the atmospheric aberrations. The goal will be to implement a model of atmospherical perturbations that evolve in time and check if the control system is able to react quickly enough