Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(9): 2891-2903

https://doi.org/10.1007/s12555-022-0909-7

© The International Journal of Control, Automation, and Systems

A Robust Underactuated Synchronizer for a Five-dimensional Hyperchaotic System: Applications for Secure Communication

Juan Carlos González Gómez, Rogério Rodrigues dos Santos, Kevin Herman Muraro Gularte*, José Alfredo Ruiz Vargas, and José Antonio Ruz Hernández

Universidade de Brasília

Abstract

This paper presents the synchronization of a class of hyperchaotic systems using a robust underactuated approach. The proposed scheme guarantees the convergence in finite time of the slave system trajectories to the master system based on Lyapunov theory. The main novelty of the method is its simplicity resulting from the underactuated strategy and its robustness due to the presence of disturbances in the stability analysis. Simulations are presented to show the performance of the proposed method and its advantages compared with another recent study in the literature. In addition, a secure communication example is considered to illustrate the simple application of the synchronizer.

Keywords Hyperchaotic system, Lyapunov analysis, robust synchronization, secure analog communication, underactuated nonlinear control.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(9): 2891-2903

Published online September 1, 2023 https://doi.org/10.1007/s12555-022-0909-7

Copyright © The International Journal of Control, Automation, and Systems.

A Robust Underactuated Synchronizer for a Five-dimensional Hyperchaotic System: Applications for Secure Communication

Juan Carlos González Gómez, Rogério Rodrigues dos Santos, Kevin Herman Muraro Gularte*, José Alfredo Ruiz Vargas, and José Antonio Ruz Hernández

Universidade de Brasília

Abstract

This paper presents the synchronization of a class of hyperchaotic systems using a robust underactuated approach. The proposed scheme guarantees the convergence in finite time of the slave system trajectories to the master system based on Lyapunov theory. The main novelty of the method is its simplicity resulting from the underactuated strategy and its robustness due to the presence of disturbances in the stability analysis. Simulations are presented to show the performance of the proposed method and its advantages compared with another recent study in the literature. In addition, a secure communication example is considered to illustrate the simple application of the synchronizer.

Keywords: Hyperchaotic system, Lyapunov analysis, robust synchronization, secure analog communication, underactuated nonlinear control.

IJCAS
September 2023

Vol. 21, No. 9, pp. 2771~3126

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