Dynamic Neural Units for Nonlinear Dynamic Systems Identification

An attempt has been made to establish a time-discrete neuron model which is applied to build Radial Basis Function and Multilayer Perceptron networks with distributed dynamics. The well-known delta-rule is extended to the dynamic delta-rule in order to optimize network parameters. Both network types were used to identify empirical, parametrical models of a turbocharger of a Diesel engine which comply with the demanded accuracy properties to a high degree. The performance of both network types is compared according to required number of parameters, approximation accuracy and computational effort.

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

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

[3]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[4]  Bernard Widrow,et al.  Adaptive switching circuits , 1988 .

[5]  M. Ayoubi.  Nonlinear dynamic systems identification with dynamic neural networks for fault diagnosis in technical processes , 1994, Proceedings of IEEE International Conference on Systems, Man and Cybernetics.

[6]  Manolis A. Christodoulou,et al.  Modeling of Robot Dynamics by Neural Networks with Dynamic Neurons , 1993 .

[7]  Mihiar Ayoubi.  Fault Diagnosis with Dynamic Neural Structure and Application to a Turbocharger , 1994 .

[8]  Paul J. Werbos,et al.  Backpropagation Through Time: What It Does and How to Do It , 1990, Proc. IEEE.

[9]  Ken-ichi Funahashi,et al.  On the approximate realization of continuous mappings by neural networks , 1989, Neural Networks.

[10]  Sami F. Masri,et al.  Structure-unknown non-linear dynamic systems: identification through neural networks , 1992 .

[11]  Heinz Unbehauen,et al.  Structure identification of nonlinear dynamic systems - A survey on input/output approaches , 1990, Autom..

[12]  S. Billings,et al.  Correlation based model validity tests for non-linear models , 1986 .

[13]  I. J. Leontaritis,et al.  Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .

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

[15]  Karl A. Zinner.  Aufladung von Verbrennungsmotoren , 1975 .