T-S Fuzzy Compensation Based Sliding Mode Control for a Free-Floating Space Manipulator

A fuzzy sliding mode control with simple structure and fast response is proposed for the trajectory tracking in joint space of free-floating space manipulators with uncertainties such as friction, external disturbance and unmodeled dynamics. In this fuzzy sliding mode controller, the feedback linearization method is used to equivalent the known part of the dynamics, then a sliding mode control part is addressed to eliminate the uncertainties of the system, finally a T-S fuzzy compensation is proposed to simplify the controller to reduce the computational burden and speed up system response. The system stability under this fuzzy sliding mode controller is proved by Lyapunov theory. The simulation comparison with nominal model based robust sliding mode control shows the superiority of the proposed control method in convergence speed, response speed and the performance of chattering elimination.

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