Abstract
This paper introduces and evaluates a robust control algorithm based on sliding mode control theory, in which together with the use of the LMI methods the stabilization of an underactuated nonlinear system can be guaranteed. The obtained results are applied to a mechanical system which consists of two single gimbal control moment gyroscopes for triaxial attitude control of a gravity-gradient stabilized tethered satellite system. These objectives are investigated first using analytical methods and then verified by numerical simulations.
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