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The stabilization problem for a cable with tip mass subject to boundary input disturbance is concerned in this paper. First, a nonlinear feedback controller is designed using sliding mode control method to reject the disturbance. Second, observation blind point which leads to zero output is found in this system. Third, the existence of the solution is obtained based on the solvability of a class of variational equations. Finally, by the LaSalle's Invariance Principle-like together with the observation blind point theory, we show the closed loop system converges asymptotically to zero.

Stabilization for a cable with tip mass under boundary input disturbance