Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis
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 emb...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/457603 |
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| _version_ | 1832548353175453696 |
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| author | Ruili Dong Yonghong Tan Hui Chen Yangqiu Xie |
| author_facet | Ruili Dong Yonghong Tan Hui Chen Yangqiu Xie |
| author_sort | Ruili Dong |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c71f947ec837428d9397b5b9ce956b6e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c71f947ec837428d9397b5b9ce956b6e2025-02-03T06:14:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/457603457603Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like HysteresisRuili Dong0Yonghong Tan1Hui Chen2Yangqiu Xie3College of Mechanical and Electronic Engineering, Shanghai Normal University, Shanghai 200234, ChinaCollege of Mechanical and Electronic Engineering, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Automation, Southeast University, Nanjing 210096, ChinaSchool of Electronic Engineering, Xi’dian University, Xi’an 710071, ChinaA 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.http://dx.doi.org/10.1155/2012/457603 |
| spellingShingle | Ruili Dong Yonghong Tan Hui Chen Yangqiu Xie Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis Journal of Applied Mathematics |
| title | Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis |
| title_full | Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis |
| title_fullStr | Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis |
| title_full_unstemmed | Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis |
| title_short | Nonsmooth Recursive Identification of Sandwich Systems with Backlash-Like Hysteresis |
| title_sort | nonsmooth recursive identification of sandwich systems with backlash like hysteresis |
| url | http://dx.doi.org/10.1155/2012/457603 |
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