Simulation-based parameter identification of a reduced model using neural networks

Simulation models are used to study and design real systems in order to optimize their performance. However, the lack of complexity in models, as compared to systems, leads to differences between simulation and actual behavior. Identification of the effective system parameters in the simulation models would reduce the discrepancies between the model and the real system and results in better simulation of system behavior. In this paper, radial basis neural networks are proposed for the identification of the effective parameters of the machine tool feed drive system. Neural networks are first trained with an estimated set of model parameter values and corresponding step responses of the position control loop. After the training period, the response of the model with the identified parameters is compared to the system step position response at different axis positions for validation. An application of neural network to other trajectories is done on a ramp function. The obtained results reveal considerable potential of neural networks in identifying accurately the system parameters and in reducing the discrepancies between experimental test results and the model.

[1]  Oleg G. Rudenko,et al.  Real-Time Identification of Nonlinear Time-Varying Systems Using Radial Basis Function Network , 2003 .

[2]  Xavier Desforges,et al.  A Neural Network for Parameter Estimation of a DC Motor for Feed-Drives , 1997, ICANN.

[3]  Ghasem Amirian Transformation of Tracking Error in Parallel Kinematic Machining , 2008 .

[4]  James J. Carroll,et al.  Approximation of nonlinear systems with radial basis function neural networks , 2001, IEEE Trans. Neural Networks.

[5]  Pierre-Jean Barre,et al.  Influence of High-Speed Machine Tool Control Parameters on the Contouring Accuracy. Application to Linear and Circular Interpolation , 2004, J. Intell. Robotic Syst..

[6]  Atsushi Matsubara,et al.  High Speed and High Acceleration Feed Drive System for NC Machine Tools , 1996 .

[7]  Andrzej Janczak Identification of Nonlinear Systems Using Neural Networks and Polynomial Models , 2005 .

[8]  Jitendra R. Raol,et al.  Modelling and Parameter Estimation of Dynamic Systems , 1992 .

[9]  Chin-Yin Chen,et al.  Integrated design for a mechatronic feed drive system of machine tools , 2005, Proceedings, 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics..

[10]  Wen Yu,et al.  Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms , 2004, Inf. Sci..

[11]  Kevin Warwick,et al.  Neural networks for identification of nonlinear systems under random piecewise polynomial disturbances , 1999, IEEE Trans. Neural Networks.

[12]  George Ellis,et al.  Control system design guide : a practical guide , 2004 .

[13]  Xiaoou Li,et al.  Recurrent fuzzy neural networks for nonlinear system identification , 2007, 2007 IEEE 22nd International Symposium on Intelligent Control.

[14]  Hong-Bin Zhang,et al.  Neural Networks Application in NC Machine Reliability Researching , 2010 .

[15]  Sung-Chong Chung,et al.  A systematic approach to design high-performance feed drive systems , 2005 .

[16]  Stephen A. Billings,et al.  Sparse Model Identification Using a Forward Orthogonal Regression Algorithm Aided by Mutual Information , 2007, IEEE Transactions on Neural Networks.