Identification of pre-sliding and sliding friction dynamics: Grey box and black-box models

The non-linear dependence of pre-sliding and sliding friction forces on displacement and velocity is modelled using different physics-based and black-box approaches including various Maxwell-Slip models, neural networks, non-parametric (local) models and recurrent networks. The efficiency and accuracy of these identification methods is compared for an experimental time series where the observed friction force is predicted from the measured displacement and estimated velocity. All models, although varying in their degree of accuracy, show good prediction capability of friction. Finally, it is shown that better results can be achieved by using an ensemble of the best models for prediction.

[1]  O. Nelles Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models , 2000 .

[2]  Mohamad Adnan Al-Alaoui,et al.  Novel digital integrator and differentiator , 1993 .

[3]  Yoshua Bengio,et al.  Learning long-term dependencies with gradient descent is difficult , 1994, IEEE Trans. Neural Networks.

[4]  L A Aguirre,et al.  Nonlinear multivariable modeling and analysis of sleep apnea time series , 1999, Comput. Biol. Medicine.

[5]  Spilios D Fassois,et al.  Presliding friction identification based upon the Maxwell Slip model structure. , 2004, Chaos.

[6]  Parlitz,et al.  Fast nearest-neighbor searching for nonlinear signal processing , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  F. Al-Bender,et al.  A Novel Generic Model at Asperity Level for Dry Friction Force Dynamics , 2004 .

[8]  W. E. Tobler,et al.  Prediction of wet band brake dynamic engagement behaviour Part 1: Mathematical model development , 2001 .

[9]  G. G. Furman,et al.  Comparison of models for subtractive and shunting lateral-inhibition in receptor-neuron fields , 1965, Kybernetik.

[10]  Anders Krogh,et al.  A Simple Weight Decay Can Improve Generalization , 1991, NIPS.

[11]  Sheng Chen,et al.  Sparse modeling using orthogonal forward regression with PRESS statistic and regularization , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Lennart Ljung,et al.  Nonlinear black-box modeling in system identification: a unified overview , 1995, Autom..

[13]  Spilios D. Fassois,et al.  FRICTION IDENTIFICATION BASED UPON THE LUGRE AND MAXWELL SLIP MODELS , 2005 .

[14]  Demosthenis D. Rizos,et al.  Identification of pre-sliding friction dynamics. , 2004, Chaos.

[15]  Abdesselam Bouzerdoum,et al.  A generalized feedforward neural network architecture for classification and regression , 2003, Neural Networks.

[16]  Jan Swevers,et al.  An integrated friction model structure with improved presliding behavior for accurate friction compensation , 1998, IEEE Trans. Autom. Control..

[17]  Andrew W. Moore,et al.  Locally Weighted Learning , 1997, Artificial Intelligence Review.

[18]  Jan Swevers,et al.  Modification of the Leuven integrated friction model structure , 2002, IEEE Trans. Autom. Control..

[19]  Stavros J. Perantonis,et al.  Two highly efficient second-order algorithms for training feedforward networks , 2002, IEEE Trans. Neural Networks.

[20]  Giovanni Soda,et al.  Local Feedback Multilayered Networks , 1992, Neural Computation.

[21]  S. Billings,et al.  DISCRETE WAVELET MODELS FOR IDENTIFICATION AND QUALITATIVE ANALYSIS OF CHAOTIC SYSTEMS , 1999 .

[22]  James McNames,et al.  Innovations in local modeling for time series prediction , 1999 .

[23]  Masayoshi Tomizuka,et al.  Adaptive Pulse Width Control for Precise Positioning Under the Influence of Stiction and Coulomb Friction , 1988 .

[24]  F. Al-Bender,et al.  Experimental Characterization of Dry Friction at Low Velocities on a Developed Tribometer Setup for Macroscopic Measurements , 2003 .

[25]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[26]  Abdesselam Bouzerdoum A new class of high-order neural networks with nonlinear decision boundaries , 1999, ICONIP'99. ANZIIS'99 & ANNES'99 & ACNN'99. 6th International Conference on Neural Information Processing. Proceedings (Cat. No.99EX378).

[27]  Andrew A. Goldenberg,et al.  Accurate Positioning of Devices with Nonlinear Friction Using Fuzzy Logic Pulse Controller , 1995, ISER.

[28]  Carlos Canudas de Wit,et al.  A new model for control of systems with friction , 1995, IEEE Trans. Autom. Control..

[29]  M Cao,et al.  Advanced hybrid neural network automotive friction component model for powertrain system dynamic analysis. Part 2: System simulation , 2004 .

[30]  Stephen A. Billings,et al.  RETRIEVING DYNAMICAL INVARIANTS FROM CHAOTIC DATA USING NARMAX MODELS , 1995 .

[31]  Kon-Well Wang,et al.  A Hybrid Neural Network Approach for the Development of Friction Component Dynamic Model , 2004 .

[32]  中沢 弘,et al.  Principles of precision engineering , 1994 .

[33]  Sheng Chen,et al.  Identification of MIMO non-linear systems using a forward-regression orthogonal estimator , 1989 .

[34]  Henry Markram,et al.  Real-Time Computing Without Stable States: A New Framework for Neural Computation Based on Perturbations , 2002, Neural Computation.