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Parametric estimation of interconnected nonlinear systems described by input-output mathematical models

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Abstract

In this paper, two types of mathematical models are developed to describe the dynamics of large-scale nonlinear systems, which are composed of several interconnected nonlinear subsystems. Each subsystem can be described by an input-output nonlinear discrete-time mathematical model, with unknown, but constant or slowly time-varying parameters. Then, two recursive estimation methods are used to solve the parametric estimation problem for the considered class of the interconnected nonlinear systems. These methods are based on the recursive least squares techniques and the prediction error method. Convergence analysis is provided using the hyper-stability and positivity method and the differential equation approach. A numerical simulation example of the parametric estimation of a stochastic interconnected nonlinear hydraulic system is treated.

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Authors and Affiliations

  1. Laboratory of Sciences and Techniques of Automatic Control & Computer Engineering, National Engineering School of Sfax (ENIS), University of Sfax, Tunisia B.P. 1173, 3038, Sfax, Tunisia

    Mourad Elloumi & Samira Kamoun

Authors
  1. Mourad Elloumi
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  2. Samira Kamoun
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Corresponding author

Correspondence to Mourad Elloumi.

Additional information

Recommended by Associate Editor Roger Dixon

Mourad Elloumi graduated from University of Sfax, Tunisia in 2005. He received the B. Sc. degree in electrical engineering in 2010 and the M. Sc. degree in automatic control and industrial computing from National School of Engineering of Sfax, US, Tunisia in 2011. He is currently a Ph.D. candidate at the Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA) from the National School of Engineering of Sfax and contractual assistant at the Sciences Faculty of Sfax, Tunisia. He is also a member at the Tunisian Association of Digital Techniques and Automatic, ATTNA.

His research interests include identification and adaptive control of nonlinear large-scale systems, with applications to automatic control of engineering systems.

ORCID iD: 0000-0001-7119-9422

Samira Kamoun graduated from University of Tunis, Tunisia. She received the M. Sc. degree from UT in 1989, the Ph.D. degree from University of Sfax, Tunisia in 2003 and the Habilitation Universitaire degree from US in 2009. Since 1990, she has been with the Department of Electrical Engineering of the National School of Engineering of Sfax, US, Tunisia, where she is currently a professor of automatic control. She is also a member at the Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA) of Sfax.

Her research interests include identification and adaptive control of complex systems (large-scale systems, nonlinear systems, time-varying systems, stochastic systems), with applications to automatic control of engineering systems.

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Elloumi, M., Kamoun, S. Parametric estimation of interconnected nonlinear systems described by input-output mathematical models. Int. J. Autom. Comput. 13, 364–381 (2016). https://doi.org/10.1007/s11633-016-0956-8

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  • DOI: https://doi.org/10.1007/s11633-016-0956-8

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