  After the loss of control authority over thrusters of the Nauka module, the
International Space Station lost attitude control for 45 minutes with
potentially disastrous consequences. Motivated by a scenario of orbital
inspection, we consider a similar malfunction occurring to the inspector
satellite and investigate whether its mission can still be safely fulfilled.
While a natural approach is to counteract in real-time the uncontrolled and
undesirable thrust with the remaining controlled thrusters, vehicles are often
subject to actuation delays hindering this approach. Instead, we extend
resilience theory to systems suffering from actuation delay and build a
resilient trajectory tracking controller with stability guarantees relying on a
state predictor. We demonstrate that this controller can track accurately the
reference trajectory of the inspection mission despite the actuation delay and
the loss of control authority over one of the thrusters.
