Generalized Quasi-Orthogonal Functional Networks Applied in Parameter Sensitivity Analysis of Complex Dynamical Systems

Authors

DOI:

https://doi.org/10.5755/j02.eie.31110

Keywords:

Orthogonal polynomials, Sensitivity analysis, Functional networks, Tower crane

Abstract

This paper presents one possible application of generalized quasi-orthogonal functional networks in the sensitivity analysis of complex dynamical systems. First, a new type of first order (k = 1) generalized quasi-orthogonal polynomials of Legendre type via classical quasi-orthogonal polynomials was introduced. The short principle to design generalized quasi-orthogonal polynomials and filters was also shown. A generalized quasi-orthogonal functional network represents an extension of classical orthogonal functional networks and neural networks, which deal with general functional models. A sequence of the first order (k = 1) generalized quasi-orthogonal polynomials was used as a new basis in the proposed generalized quasi-orthogonal functional networks. The proposed method for determining the parameter sensitivity of complex dynamical systems is also given, and an example of a complex industrial system in the form of a tower crane was considered. The results obtained have been compared with different methods for parameter sensitivity analysis.

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Published

2022-08-24

How to Cite

Nikolic, S. S., Antic, D. S., Dankovic, N. B., Milovanovic, A. A., Mitic, D. B., Milovanovic, M. B., & Djekic, P. S. (2022). Generalized Quasi-Orthogonal Functional Networks Applied in Parameter Sensitivity Analysis of Complex Dynamical Systems. Elektronika Ir Elektrotechnika, 28(4), 19-26. https://doi.org/10.5755/j02.eie.31110

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Section

AUTOMATION, ROBOTICS

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