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

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.

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