Abstract
Based on generalized least variance and optimal prediction theory, a novel adaptive vibration control algorithm with neural network compensation is developed to restrain periodical micro-vibration in Three Dimension (3D) scanning system. In this way, the controller can deal with nonlinear plants, which exhibit features such as uncertainties, nonminimum phase behaviour, coupling effects and delete unmodelled dynamics etc. To demonstrate the effectiveness of the developed algorithm, a 3D scanning system designed by us is taken as a real plant, and its vibration model is established, which is consist of linear ARMA model and nonlinear unmodelled dynamic, then, based on the vibration model and proposed algorithm, the simulation experiment was done, the successful results show that the vibration can be compensated effectively so that the 3D scanning precision is assured.
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