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Nonsmooth recursive identification of sandwich systems with backlash-like hysteresis. (English) Zbl 1251.93131

Summary: A recursive gradient identification algorithm based on the bundle method for sandwich systems with backlash-like hysteresis is presented in this paper. In this method, a dynamic parameter estimation scheme based on a subgradient is developed to handle the nonsmooth problem caused by the backlash embedded in the system. The search direction of the algorithm is estimated based on the so-called bundle method. Then, the convergence of the algorithm is discussed. After that, simulation results on a nonsmooth sandwich system are presented to validate the proposed estimation algorithm. Finally, the application of the proposed method to an \(X\)-\(Y\) moving positioning stage is illustrated.

MSC:

93E12 Identification in stochastic control theory
90C30 Nonlinear programming
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