An Expert System for the Identification of Nonlinear Dynamical Systems
Part of the
Lecture Notes in Computer Science
book series (LNCS, volume 4113)
This paper describes an Expert System that can detect and quantify the nonlinearity present in a given dynamical system and, subsequently, determine and apply the most suitable nonlinear system identification method. The internal workings, algorithms and decision making processes of the Expert System are discussed. For demonstration purposes the Expert System is applied to a nonlinear experimental test-rig. The results show that the Expert System is an automatic tool that will detect nonlinearity, choose the best class of model for the system under investigation and perform optimal parameter estimation, so that the resulting identified models are parsimonious and accurate.
KeywordsExpert System Frequency Response Function Short Time Fourier Transform General Nonlinear System Optimal Parameter Estimation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Chen, S., Billings, S.A.: Representations of non-linear systems: the NARMAX model. International Journal of Control 49(3), 1013–1032 (1989)MATHMathSciNetGoogle Scholar
Simon, M., Tomlinson, G.R.: Use of the Hilbert transform in modal analysis of linear and non-linear structures. Journal of Sound and Vibration 96(4), 421–436 (1984)MATHCrossRefMathSciNetGoogle Scholar
Feldman, M.: Nonlinear system vibration analysis using hilbert transform - i. free vibration analysis method freevib. Mechanical Systems and Signal Processing 8(2), 119–127 (1994)CrossRefGoogle Scholar
Volterra, V. (ed.): Theory of Functionals and Integral Equations. Dover, New York (1959)MATHGoogle Scholar
Crawley, E.F., Aubert, A.C.: Identification of nonlinear structural elements by force-state mapping. AIAA Journal 24(1), 155–162 (1986)CrossRefGoogle Scholar
Worden, K., Tomlinson, G.R.: Nonlinear vibrations. Sheffield University Press, Sheffield (2000)Google Scholar
Dimitriadis, G.: Experimental validation of the Constant Level method for identification of nonlinear multi degree of freedom systems. Journal of Sound and Vibration 258(5), 829–845 (2000)CrossRefGoogle Scholar
© Springer-Verlag Berlin Heidelberg 2006