The problem of designing attitude control laws is split in two sub-problems: closed-loop computation of the moments needed to regulate the vehicle attitude (Control laws) and computation of the commands for the aerodynamic surface actuators, which generate the required moments. In modern aircrafts, the number of control surfaces is typically greater than the minimum required for the vehicle control around the three axes. This redundancy can be effectively used to give more flexibility in choosing the combination of control surfaces that gives the moments required to control the vehicle rotational dynamics.

Papers:

Poderico, M., Morani, G.,, and Ariola, M., Reconfigurable Flight Control Laws for Re-Entry Vehicles, 2013 21st Mediterranean Conference on Control & Automation (MED) Platanias-Chania, Crete, Greece, June 25-28, 2013.

Harkegard, O, "Efficient Active Set Algorithms for Solving Constrained Least Squares Problems in Aircraft Control Allocation", Proceedings of the 41st IEEE Conference on decision and Controll, Las Vegas, Nevada, USA, December 2002.