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Muñoz-Vázquez, Aldo Jonathan; Sánchez-Torres, Juan Diego; Fernández-Anaya, Guillermo; Martínez-Fuentes, Oscar

Predefined-time tracking control of multiplicative systems. (English) Zbl 07900064

Int. J. Robust Nonlinear Control 34, No. 13, 8581-8589 (2024).
Summary: This article describes a control approach for obtaining predefined-time robust tracking in multiplicative systems despite positive, bounded, and unknown multiplicative disturbances. The proposed approach is distinguished by imposing predefined-time convergence, a topic previously studied in conventional calculus in the context of multiplicative systems. Multiplicative calculus is recognized as a beneficial tool that complements standard calculus by simplifying the modeling and comprehension of numerous processes. Simulations are carried out to illustrate that the given control strategy enforces convergence before a predefined time instant and, while inducing robustness against system uncertainties. The findings of this article pave the way for further research into predefined-time synchronization of multiplicative oscillator systems, which would bring promising implications for data encryption and secure communication.
© 2024 The Author(s). International Journal of Robust and Nonlinear Control published by John Wiley & Sons Ltd.

MSC:

93D40 Finite-time stability
93B12 Variable structure systems

Keywords:

multiplicative calculus; predefined-time stability; sliding mode control
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References:

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