An Integral-based Control Allocation Algorithm for Optimal Spacecraft Actuator Selection under l1, l2, l∞ Criteria for Fault Tolerance

This paper deals with fault tolerant control for space missions. A new integral–based control allocation algorithm is developed, for optimal spacecraft actuator selection. The algorithm is developed in a general manner so that the allocation can be done under $l_{1},l_{2},l_{\infty}$ optimisation criteria. Stability and convergence properties of the algorithm are formally proven, using the small gain theory and the scaled bounded real lemma. The proposed solution is evaluated through intensive simulations from a functional engineering simulator that accurately simulates an on-orbit autonomous rendezvous, on a circular orbit. The obtained results demonstrate the efficiency of the proposed fault-tolerant control allocation algorithm.