Abstract
To achieve high-precision shape control of antenna reflectors in the presence of model errors, an adaptive shape control method based on the feedback error learning algorithm is proposed. First, the finite element model of a planar hexagonal reflector with 30 piezoelectric actuators is established, by which the influence coefficient matrix is derived. Second, the feedback error learning method is developed, and it can iteratively modify the inverse model of the reflector system through online learning, thus avoiding the effect of model errors on shape control precision. An adaptive step size adjustment strategy for the method is proposed to improve the convergence precision and speed. Then, the effectiveness of the proposed method is intensively studied in comparison with the traditional influence coefficient matrix method by numerical simulations. Numerical results demonstrate that the proposed method can achieve a fairly high precision for all kinds of model errors, whereas the model errors will greatly reduce the precision of the influence coefficient matrix method. The adaptive step size adjustment strategy can greatly improve the convergence precision and speed. Finally, experimental results further verified the above conclusions, which prove the effectiveness and practicability of the proposed method for the high-precision shape control.
Published Version
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