Adaptive time delay neural network structures for nonlinear system identification

Abstract In this paper, motivated by the adaptive time delay neural networks (ATDNN), four structures are developed for identifying different classes of nonlinear systems expressed in the input–output representation form. By using certain a priori information about the structure of the nonlinearity of the system one may utilize the appropriate proposed neuro-dynamic structure for identifying the system. The capabilities of the proposed structures for representing the nonlinear systems are shown analytically. Selection criteria for specifying the fixed structural parameters as well as the adaptation laws for updating the adjustable parameters of the identifiers are provided. Simulation results demonstrate that the proposed ATDNN structures are quite effective in identifying a general class of nonlinear systems.

[1]  Alexander G. Parlos,et al.  Nonlinear system identification using spatiotemporal neural networks , 1992, [Proceedings 1992] IJCNN International Joint Conference on Neural Networks.

[2]  Sheng Chen,et al.  Recursive prediction error parameter estimator for non-linear models , 1989 .

[3]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[4]  Rajnikant V. Patel,et al.  Identification of a two-link flexible manipulator using adaptive time delay neural networks , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[5]  Yuichi Nakamura,et al.  Approximation of dynamical systems by continuous time recurrent neural networks , 1993, Neural Networks.

[6]  Bernard Delyon,et al.  Nonlinear black-box models in system identification: Mathematical foundations , 1995, Autom..

[7]  R. Zbikowski State-space approach to continuous recurrent neural networks , 1992, Proceedings of the 1992 IEEE International Symposium on Intelligent Control.

[8]  Ervin Y. Rodin,et al.  System identification with dynamic neural networks , 1992 .

[9]  Gary G. Yen Adaptive time-delay neural control in space structural platforms , 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).

[10]  Khashayar Khorasani,et al.  Identification of a class of nonlinear systems using dynamic neural network structures , 1997, Proceedings of International Conference on Neural Networks (ICNN'97).

[11]  Judith E. Dayhoff,et al.  Trajectory production with the adaptive time-delay neural network , 1995, Neural Networks.

[12]  F. Fallside,et al.  A stability based neural network control method for a class of nonlinear systems , 1991, [Proceedings] 1991 IEEE International Joint Conference on Neural Networks.

[13]  P. Werbos,et al.  Beyond Regression : "New Tools for Prediction and Analysis in the Behavioral Sciences , 1974 .

[14]  S. J. Huang,et al.  Training algorithm based on Newton's method with dynamic error control , 1992, [Proceedings 1992] IJCNN International Joint Conference on Neural Networks.

[15]  Geoffrey E. Hinton,et al.  Phoneme recognition using time-delay neural networks , 1989, IEEE Trans. Acoust. Speech Signal Process..

[16]  Khashayar Khorasani,et al.  Nonlinear system identification using embedded dynamic neural networks , 1998, 1998 IEEE International Joint Conference on Neural Networks Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36227).

[17]  Sheng Chen,et al.  Recursive maximum likelihood identification of a non-linear output-affine model , 1988 .

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

[19]  Gregory L. Plett,et al.  Adaptive inverse control of linear and nonlinear systems using dynamic neural networks , 2003, IEEE Trans. Neural Networks.

[20]  S. W. Piche,et al.  Steepest descent algorithms for neural network controllers and filters , 1994, IEEE Trans. Neural Networks.

[21]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[22]  S Z Qin,et al.  Comparison of four neural net learning methods for dynamic system identification , 1992, IEEE Trans. Neural Networks.

[23]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .