Juan Luis Vázquez Gutiérrez | Centro Universitario de los Lagos Universidad de Guadalajara |
Didier López-Mancilla | Centro Universitario de los Lagos Universidad de Guadalajara |
https://doi.org/10.58571/CNCA.AMCA.2022.089
Resumen: This work contributes to the subject of stability in the synchronization of identical chaotic systems, coupled by means of a control law. Initially, chaotic systems with multiple scrolls are expressed in a Hamiltonian form, this allows us to observe particular characteristics of the system, since the system is divided into a conservative part and a dissipative part. This procedure helps in the design of a control law that allows identical chaotic systems to be synchronized. In particular, the technique of Model-Matching is used for the design of the control law, but an optimization is performed in the design of a control law, based only on the conservative part of the chaotic systems in Hamiltonian form. This gives us a new point of view in the design of the controllers used to achieve synchronization between chaotic systems, which simplifies the calculations that are carried out to obtain a law of control. A stability analysis is performed in this work to ensure that the synchronization of the two systems coupled by the effect of the control law meet the full system synchronization requirements, some numerical simulations are presented.
![Stability in the Synchronization of Multi-scroll Chaotic Systems using Hamiltonian Forms](/wp-content/uploads/2022/04/logotipo_amca100.png)
¿Cómo citar?
Juan Luis Vázquez Gutiérrez & Didier López-Mancilla. Stability in the Synchronization of Multi-scroll Chaotic Systems using Hamiltonian Forms. Memorias del Congreso Nacional de Control Automático, pp. 510-515, 2022. https://doi.org/10.58571/CNCA.AMCA.2022.089
Palabras clave
Sistemas Caóticos; Control de Sistemas No Lineales
Referencias
- Chua, L. (2001). Advanced Topics in Nonlinear Control Systems. World Scientific, series a v edition.
- Garza-González, E., Posadas-Castillo, C., Rodríguez- Liñán, A., and Cruz-Hernández, C. (2016). Chaotic synchronization of irregular complex network with hysteretic circuit-like oscillators in hamiltonian form and its application in private communications. Revista mexicana de física, 62(1), 51–59.
- Gutiérrez, J.L.V. (2020). Sincronización de Redes de Sistemas Caóticos por Acoplamiento a Modelos Basado en la parte conservativa de Sistemas en Forma Hamiltoniana Generalizada. Master’s thesis, Centro Universitario de los Lagos Maestría en Ciencia y Tecnología.
- López-Mancilla, D., Cruz-Hernández, C., and Posadas-Castillo, C. (2005). A modified chaos-based communication scheme using hamiltonian forms and observer. In Journal of Physics: Conference Series, volume 23, 267. IOP Publishing.
- López-Mancilla, D. (2005). Sincronizacion de Osciladores Caóticos Perturbados con Aplicación a Sistemas de Comunicaciones. Ph.D. thesis, Centro de Investigación Científica y de Educación Superior de Ensenada.
- Sira-Ramirez, H. and Cruz-Hernandez, C. (2000). Synchronization of chaotic systems: a generalized hamiltonian systems approach. Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2(5), 1381–1395. doi:10.1109/ACC.2000.876602.
- Soriano-Sánchez, A.G. (2013). Sincronización de Redes Complejas con Atractores Caóticos de Multiplaes Enrrollamientos: Aplicado al Encriptamiento de Datos. Ph.D. thesis, Universidad Autónoma de Nuevo León.
- Tlelo-Cuautle, E., de la Fraga, L., and Rangel-Magdaleno, J. (2016). Engineering applications of FPGAs. Springer.