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Nonsmooth identification of mechanical systems with backlash-like hysteresis 被引量：2

Nonsmooth identification of mechanical systems with backlash-like hysteresis
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摘要 Backlash-like hysteresis is one of the nonsmooth and multi-valued nonlinearities usually existing in mechanical systems. The traditional identification method is quite difficult to be used to model the systems involved with such complex nonlinearities. In this paper, a nonsmooth recursive identification algorithm for the systems with backlash-like hysteresis is proposed. In this method, the concept of Clarke subgradient is introduced to approximate the gradients at nonsmooth points and the so-called bundle method is used to obtain the optimization search direction in nonsmooth cases. Then, a recursive algorithm based on the idea of bundle method is developed for parameter estimation. After that, the convergence analysis of the algorithm is investigated. Finally, simulation results to validate the proposed method on a simulated mechanical transmission system are presented. Backlash-like hysteresis is one of the nonsmooth and multi-valued nonlinearities usually existing in mechanical systems. The traditional identification method is quite difficult to be used to model the systems involved with such complex nonlinearities. In this paper, a nonsmooth recursive identification algorithm for the systems with backlash-like hysteresis is proposed. In this method, the concept of Clarke subgradient is introduced to approximate the gradients at nonsmooth points and the so-called bundle method is used to obtain the optimization search direction in nonsmooth cases. Then, a recursive algorithm based on the idea of bundle method is developed for parameter estimation. After that, the convergence analysis of the algorithm is investigated. Finally, simulation results to validate the proposed method on a simulated mechanical transmission system are presented.
作者 Ruili DONG Yonghong TAN David HE
机构地区 College of Mechanical and Electronic Technology Department of Mechanical and Industrial Engineering
出处 《控制理论与应用（英文版）》 EI CSCD 2013年第3期477-482,共6页
基金 supported by the National Natural Science Foundation of China (Nos. 61203108, 60971004, 61171088) the projects of the Science and Technology Commission of Shanghai (Nos. 09220503000, 10JC1412200, 09ZR1423400) the projects of Shanghai Education Commission(Nos. 11YZ92, 13YZ056)
关键词 IDENTIFICATION Mechanical system Pseudo-Hammerstein model BACKLASH Bundle method SUBGRADIENT Identification Mechanical system Pseudo-Hammerstein model Backlash Bundle method Subgradient
分类号 TH132 [机械工程—机械制造及自动化]
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参考文献12

  • 1R. Dong, Y. Tan. Recursive identification for dynamic systems with backlash. Asian Journal of Control, 2010, 12(1): 26 - 38.
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同被引文献27

  • 1向微,陈宗海.基于Hammerstein模型描述的非线性系统辨识新方法[J].控制理论与应用,2007,24(1):143-147. 被引量：25
  • 2JIN Z W, ZHAO L, RAO Z Z. Mach number prediction models based on ensemble neural networks for wind tunnel testing [C]//The 26th Chinese Control and Decision Conference. Changsha, China: IEEE, 2014, 1:1637 - 1640.
  • 3RUI W, QIN J H, MA Y Y. A novel approach for modelling of an in- jector powered transonic wind tunnel [C]//The 26th Chinese Control and Decision Conference. Changsha, China: IEEE, 2014, 1:1197 - 1200.
  • 4WANG X, LI S Y, CAI W J, et al. Multi-model direct adaptive de- coupling control with application to the wind tunnel system [J]. ISA Transactions, 2005, 44(1): 131 - 143.
  • 5QIAN Y L, GE O, MAGHAREH A, et al. Parametric identification of a servo-hydraulic actuator for real-time hybrid simulation [J]. Me- chanical Systems and Signal Processing, 2014, 48(1/2): 260 - 273.
  • 6VALDIERO A C, BAVARESCO D, ANDRIGHETTO P L. Experi- ment identification of the dead zone in proportional directional pneu- matic valves [J]. International Journal of Fluid Power, 2008, 9(1): 27 -33.
  • 7IBRIR S, XIE W E SU C Y. Adaptive tracking of nonlinear system- s with non-symmetric dead-zone input [J]. Automatica, 2007, 43(3): 522 - 530.
  • 8VOROS J. On identification of nonlinear dynamic systems using three-block cascade models [C] //International Conference on Pro- cess Control. Slovakia, Strbske Pleso: IEEE, 2013, 1:247 - 251.
  • 9VANBEYLEN L. Nonlinear LFR block-oriented model: Potential benefits and improved, user-friendly identification method [J]. IEEE Transactions on Instrumentation and Measurement, 2013, 62(12): 3374 - 3383.
  • 10VOROS J. Modeling and parameter identification of systems with multisegment piecewise-linear characteristics [J]. IEEE Transactions on Automatic Control, 2002, 47(1): 184- 188.

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控制理论与应用（英文版）
2013年 第3期

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