Chaos suppression and practical stabilization of uncertain Duffing-Holmes control systems with unknown actuator nonlinearity

Volume 8, Issue 2, April 2023     |     PP. 1-12      |     PDF (304 K)    |     Pub. Date: January 2, 2018
DOI:    295 Downloads     3574 Views  

Author(s)

Yeong-Jeu Sun, Department of Electrical Engineering, I-Shou UniversityKaohsiung, Taiwan 840, R.O.C.

Abstract
In this paper, the concept of practical stabilization for nonlinear systems is introduced and the practical stabilization of uncertain Duffing-Holmes control systems with unknown actuator nonlinearity is explored. Based on the time-domain approach with differential inequalities, a single control is presented such that the practical stabilization for a class of uncertain Duffing-Holmes systems with unknown actuator nonlinearity can be achieved. Moreover, both of the guaranteed exponential convergence rate and convergence radius can be correctly calculated Finally, some numerical simulations are given to demonstrate the feasibility and effectiveness of the obtained results.

Keywords
Practical synchronization, Chaotic system, uncertain Duffing-Holmes systems, unknown actuator nonlinearity, Chaos suppression

Cite this paper
Yeong-Jeu Sun, Chaos suppression and practical stabilization of uncertain Duffing-Holmes control systems with unknown actuator nonlinearity , SCIREA Journal of Electrical Engineering. Volume 8, Issue 2, April 2023 | PP. 1-12.

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