Boundary control for flexible mechanical systems with input dead-zone

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In this paper, the control problem for flexible mechanical systems with input dead-zone nonlinearity is investigated. We employ the boundary control technique aiming at regulating the deformation of flexible mechanical systems (including both the string and the Euler–Bernoulli beam) in the presence of various external disturbances. With the proposed control method, we prove that all the states of the closed-loop flexible mechanical systems are uniformly ultimately bounded, and the input dead-zone nonlinearity and boundary external disturbance are handled. Numerical simulation studies are carried out to verify the effectiveness of the developed boundary control.