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On the practical h-stabilization of nonlinear time-varying systems: application to separately excited DC motor

Hanen Damak (Department of Mathématiques, University of Sfax Faculty of Sciences of Sfax, Sfax, Tunisia)
Mohamed Ali Hammami (Department of Mathematics, University of Sfax Faculty of Sciences of Sfax, Sfax, Tunisia)
Abir Kicha (Department of Mathematics, University of Sfax Faculty of Sciences of Sfax, Sfax, Tunisia)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 3 September 2021

Issue publication date: 8 October 2021

43

Abstract

Purpose

The purpose of this paper is to report on the global practical uniform h-stabilization for certain classes of nonlinear time-varying systems and its application in a separately excited DC motor circuit.

Design/methodology/approach

Based on Lyapunov theory, the practical h-stabilization result is derived to guarantee practical h-stability and applicated in a separately excited DC motor.

Findings

A controller is designed and added to the nonlinear time-varying system. The practical h-stability of the nonlinear control systems is guaranteed by applying the appropriate controller based on Lyapunov second method. Another effective controller is also designed for the global practical uniform h-stability on the separately excited DC motor with load. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme.

Originality/value

The introduced approach is interesting for practical h-stabilization of nonlinear time-varying systems and its application in a separately excited DC motor. The original results generalize well-known fundamental result: practical exponential stabilization for nonlinear time-varying systems.

Keywords

Citation

Damak, H., Hammami, M.A. and Kicha, A. (2021), "On the practical h-stabilization of nonlinear time-varying systems: application to separately excited DC motor", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 4, pp. 888-904. https://doi.org/10.1108/COMPEL-05-2020-0178

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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