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

Sasa S. Nikolic; Dragan S. Antic; Nikola B. Dankovic; Aleksandra A. Milovanovic; Darko B. Mitic; Miroslav B. Milovanovic; Petar S. Djekic

doi:10.5755/j02.eie.31110

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

Authors

Sasa S. Nikolic Department of Control Systems, Faculty of Electronic Engineering, University of Nis, Serbia
Dragan S. Antic Department of Control Systems, Faculty of Electronic Engineering, University of Nis, Serbia https://orcid.org/0000-0002-5880-5173
Nikola B. Dankovic Department of Control Systems, Faculty of Electronic Engineering, University of Nis, Serbia https://orcid.org/0000-0003-0986-5695
Aleksandra A. Milovanovic Department of Control Systems, Faculty of Electronic Engineering, University of Nis, Serbia
Darko B. Mitic Department of Control Systems, Faculty of Electronic Engineering, University of Nis, Serbia https://orcid.org/0000-0001-9483-0176
Miroslav B. Milovanovic Department of Control Systems, Faculty of Electronic Engineering, University of Nis, Serbia https://orcid.org/0000-0003-0535-0790
Petar S. Djekic The Academy of Applied Technical and Preschool Studies-Nis, Serbia https://orcid.org/0000-0001-9506-7301

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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Issue

Vol. 28 No. 4 (2022)

Section

AUTOMATION, ROBOTICS

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