Abstract

A smooth attitude-stabilizing controller is proposed for rigid spacecraft actuated by thrusters that achieves finite-time stability in the presence of external disturbance, input saturation, and inertia uncertainty. More specifically, a novel time-varying fast terminal sliding-mode surface is first developed in conjunction with a judiciously designed control signal that rigorously obeys a known maximum-torque constraint. The controller can be viewed as a continuous analog to a variable structure approach, with the smoothness of the control permitted to vary with time according to a set of user-defined parameters. The second major contribution is that the control algorithm is extended to accommodate actuator faults while making use of the remaining active actuating capabilities. A Lyapunov-based analysis of the proposed formulation is provided, and finite-time stability of the closed-loop system is guaranteed. Numerical simulation studies are presented to help illustrate the desirable properties of the controller whenever certain design parameters are selected appropriately, and guidelines for selecting those parameters are provided in depth.

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