Adaptive Fuzzy Modified Fixed-Time Fault-Tolerant Control on SE(3) for Coupled Spacecraft

This paper aims to solve the control problem of coupled spacecraft tracking maneuver in case actuator faults, inertia parametric uncertainties, and external disturbances. Firstly, attitude position coupling kinematics dynamics model are established on Lie group SE(3), relative motion error is derived by exponential coordinates. Then, considering an adaptive fuzzy scheme proposed estimate lumped disturbances real time, a novel modified fixed-time terminal sliding mode fault-tolerant law developed deal with faults compensate Next, Lyapunov method used prove stability convergence system. Finally, controller can achieve fast high-precision goals, its effectiveness feasibility verified numerical simulation.