Distributed adaptive fault-tolerant constrained attitude coordination control for flexible spacecraft formation on SO(3)

This paper is devoted to investigating the distributed constrained attitude coordination control problem for flexible spacecraft formation on SO(3) subject to external disturbances, actuator faults, and channel noise without modal variable measurement. Specifically, based on the Itô formula and fixed-time control approach, a distributed attitude observer is proposed to estimate the leader's states for the followers under channel noise environments in a fixed time in probability. Then the attitude constraints are handled by constructing an artificial potential function (APF) on SO(3). A distributed adaptive fault-tolerant control law is presented to achieve constrained attitude coordination by using the APF and the estimations of the leader's states and the unmeasurable modal variables. The separation principle between the distributed attitude observer and the proposed control law is adopted to prove the control law convergence. Simulation results are presented to demonstrate the theoretical findings.