Abstract
This paper will address the capability of the Modified Group Method of Data Handling (MGMDH) for continuous and piecewise continuous approximation functions. The MGMDH is used to construct the mathematical structure of dynamic system, which is observable only from its input and output with large number of input variables. The paper present the theory and simulation results for estimation of piecewise continuous polynomial function. The output performance evaluation is included.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Reference
Astrom, A.J. and Wittenmark B., Adaptive Control, Addison-Wesley, (1999)
Efron, B., The Jackknife, the Bootstrap and other resampling plans, V38, SIAM (1982)
Hecht-Nielson, R., Neurocomputing, Addison-Wesley, (1990)
Ivakhnenko, A.G., “The Group Method of Data Handling-Arrival of the method of Stochastic Approximation”, Soviet Automation Control, V13, No. 3, (1966)
Ivakhnenko, A.G., “Polynomial Theory of Complex System”, IEEE Transaction on systems, Man, and Cybernetic, Vol. SMC-1, No. 4, Oct. (1971)
Ivakhnenko, A.G., “Information Processing GMDH”, Soviet Automatic Control, (1990)
Papoulis, A., Probability, Random Variables and Stochastic Processing, McGraw-Hill (1965)
Soderstorm, T., and Stoica, P., System Identification, Prentice Hall (1989)
Stepashko, V.S., “A GMDH Algorithm for Two Level Modeling of multidimensional Cyclic Processes”, Soviet Automatic Control, (1988)
Yurachkovskiy, Y.P.; “Convergence of Multilayer Algorithm of the Group Method of Data Handling”, Soviet Automatic Control (1981)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Setoodehnia, A.K., Li, H. (2000). Performance of MGMDH Network on Structural Piecewise System Identification. In: Logananthara, R., Palm, G., Ali, M. (eds) Intelligent Problem Solving. Methodologies and Approaches. IEA/AIE 2000. Lecture Notes in Computer Science(), vol 1821. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45049-1_89
Download citation
DOI: https://doi.org/10.1007/3-540-45049-1_89
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67689-8
Online ISBN: 978-3-540-45049-8
eBook Packages: Springer Book Archive