Flexible Manipulator State Reconstruction Using Luenberger and First Order Sliding Mode Observers Under Parametric Uncertainties
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This paper deals with the problem of state reconstruction fora one-link flexible manipulator using Luenberger Observer (LO) and First Order Sliding Mode Observer (FOSMO) under parametric uncertainties.The design techniques and the comparison of the state observers are presented.The mechanical equations of the system are derived using the Lagrangian approach, and the elastic movement is approximated by the assumed modes method for an Euler-Bernoulli beam. The sliding mode observer is derived based on the available outputs, and it is compared to the classical Luenberger one. The simulation results included in the paper evaluate the observers’ ability to reconstruct the state, to lower the error of estimation and to shorten the required time for the error to converge.
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