Abstract
A novel sliding-mode control design is proposed for the class of single-input nonlinear systems with non-matching nonlinearities and/or disturbances. This class of systems includes dual-spin spacecraft and rotational proof mass actuators that are used for suppressing translational oscillation. The sliding-mode control law is designed via an L 2 -norm bounding technique that ensures, under certain conditions, asymptotic stability of the system when the disturbances satisfy the matching condition or are zero; otherwise, it ensures system stability with an a priori bound on the transmission gain of the disturbances through the system for non-zero non-matching disturbances. Simulation results for a rotational proof mass actuator or dual-spin spacecraft example illustrate the excellent responses obtained by applying the control laws derived from this proposed design procedure.
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