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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this paper, boundary vibration suppression for an axially moving belt with high acceleration/deceleration under the spatially varying tension and unknown disturbances is investigated. To suppress the belt's vibration and avoid control spillover, a nonhomogeneous model of the axially moving system is derived from the extended Hamilton's principle. Based on this infinite-dimensional model, robust control theory is introduced to deal with the effect of boundary disturbance. The stability and uniform boundness of the developed control system are both proved using Lyapunov direct method. Simulation results illustrate the effectiveness of the proposed boundary control method.
Keywords:axially moving system; high acceleration/deceleration; boundary control; Lyapunov's direct method