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Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis

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  • Ruili Dong
  • Yonghong Tan
  • Hui Chen
  • Yangqiu Xie

Abstract

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.

Suggested Citation

  • Ruili Dong & Yonghong Tan & Hui Chen & Yangqiu Xie, 2012. "Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, July.
    • Handle: RePEc:hin:jnljam:457603
    DOI: 10.1155/2012/457603
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