Sincronización de sistemas caóticos de múltiple enrollamiento mediante observador de estado extendido

Christian Aldrete-Maldonado; Pablo Jose Prieto-Entenza; Corina Plata-Ante; Leonardo Trujillo-Reyes; Octavio García-Alarcón; Ramon Ramírez-Villalobos

doi:10.29057/icbi.v11iEspecial2.10799

Christian Aldrete-Maldonado Tecnológico Nacional de México https://orcid.org/0009-0008-9655-8637
Pablo Jose Prieto-Entenza Centro de Enseñanza Técnica y Superior-Tijuana https://orcid.org/0000-0003-1499-0263
Corina Plata-Ante Tecnológico Nacional de México https://orcid.org/0000-0002-6453-9529
Leonardo Trujillo-Reyes Tecnológico Nacional de México https://orcid.org/0000-0003-1812-5736
Octavio García-Alarcón Tecnológico Nacional de México https://orcid.org/0000-0002-0951-4476
Ramon Ramírez-Villalobos Tecnológico Nacional de México https://orcid.org/0000-0001-9506-5613

DOI: https://doi.org/10.29057/icbi.v11iEspecial2.10799

Palabras clave: Observador, Sincronización, sistema caotico de múltiple enrollamiento

Resumen

Este artículo presenta el diseño de un observador para resolver el problema de sincronización de sistemas caóticos de múltiple enrollamiento. La propuesta consiste en el diseño de un observador de estado extendido para estimar la no linealidad que genera el múltiple enrollamiento en la dinámica del sistema caótico. Además, se presenta un análisis de estabilidad bajos los criterios de Lyapunov para demostrar que las soluciones se mantienen acotadas de manera uniforme. Finalmente, se muestran resultados de simulación para ilustrar la efectividad del observador propuesto.

Descargas

La descarga de datos todavía no está disponible.

Citas

Abundiz-Pérez, F., Cruz-Hernández, C., Murillo-Escobar, M., López-Gutiérrez, R., y Arellano-Delgado, A. (2016). A fingerprint image encryption scheme based on hyperchaotic rossler map. Mathematical Problems in Engineering, 2016.

Bonny, T., Nassan, W. A., Vaidyanathan, S., y Sambas, A. (2023). Highly-secured chaos-based communication system using cascaded masking technique and adaptive synchronization. Multimedia Tools and Applications, pp.

-30.

Carbajal-Gómez, V. y Sánchez-López, C. (2019). Determining accurate Lyapunov exponents of a multiscroll chaotic attractor based on snfs. Nonlinear Dynamics, 98(3):2389–2402.

Chen, Z., Wen, G., Zhou, H., y Chen, J. (2017). Generation of grid multi-scroll chaotic attractors via hyperbolic tangent function series. Optik, 130:594-600.

Ding, P. y Feng, X. (2020). Generation of multi-scroll chaotic attractors from a jerk circuit with a special form of a sine function. Electronics, 9(5):842.

Gámez-Guzmán, L., Cruz-Hernández, C., López-Gutiérrez, R., y García-Guerrero, E. (2009). Synchronization of chuas circuits with multi-scroll attractors: application to communication. Communications in Nonlinear Science and Numerical Simulation, 14(6):2765–2775.

Kekha Javan, A. A., Zare, A., Alizadehsani, R., y Balochian, S. (2022). Robust multi-mode synchronization of chaotic fractional order systems in the presence of disturbance, time delay and uncertainty with application in secure communications. Big Data and Cognitive Computing, 6(2):51.

Li, F. y Zeng, J. (2023). Multi-scroll attractor and multi-stable dynamics of a three-dimensional jerk system. Energies, 16(5):2494.

Li, Q. y Yue, C. (2020). Predefined-time modified function projective synchronization for multiscroll chaotic systems via sliding mode control technology. Complexity, 2020:1–11.

Liu, S., Wei, Y., Liu, J., Chen, S., y Zhang, G. (2020). Multi-scroll chaotic system model and its cryptographic application. International Journal of Bifurcation and Chaos, 30(13):2050186.

Lorenz, E. N. (1963). Deterministic nonperiodic flow. Journal of the Atmospheric Sciences, 20:130–141.

Murillo-Escobar, M. A., Cardoza-Avendaño, L., López-Gutiérrez, R. M., y Cruz-Hernández, C. (2017). A double chaotic layer encryption algorithm for clinical signals in telemedicine. Journal of medical systems, 41:1–17.

Nijmeijer, H. y Mareels, I. M. (1997). An observer looks at synchronization. IEEE Transactions on Circuits and Systems I: Fundamental theory and applications, 44(10):882–890.

Pecora, L. M. y Carroll, T. L. (1990). Synchronization in chaotic systems. Physical review letters, 64(8):821.

Pérez-Cruz, J. H., Portilla-Flores, E. A., Niño-Suárez, P. A., y Rivera-Blas, R. (2017). Design of a nonlinear controller and its intelligent optimization for exponential synchronization of a new chaotic system. Optik, 130:201–212.

Plata, C., Prieto, P. J., Ramirez-Villalobos, R., y Coria, L. N. (2020). Chaos synchronization for hyperchaotic lorenz-type system via fuzzy-based sliding mode observer. Mathematical and Computational Applications, 25(1):16.

Roldán-Caballero, Alfredo and Pérez-Cruz, J Humberto and Hernández-Márquez, Eduardo and García-Sánchez, José Rafael and Ponce-Silva, Mario and Rubio, Jose de Jesus and Villarreal-Cervantes, Miguel Gabriel and Martínez-Martínez, Jesús and García-Trinidad, Enrique and Mendoza-Chegue, Alejandro and others (2023). Synchronization of a new chaotic system using adaptive control: Design and experimental implementation. Complexity, 2023.

Rossler, O. E. (1979). An equation for hyperchaos. Physics Letters A, 71:155–157.

Signing, V. F., Kengne, J., y Pone, J. M. (2019). Antimonotonicity, chaos, quasiperiodicity and coexistence of hidden attractors in a new simple 4-d chaotic system with hyperbolic cosine nonlinearity. Chaos, Solitons & Fractals, 118:187–198.

Sira-Ramirez, H. y Cruz-Hernández, C. (2001). Synchronization of chaotic systems: A generalized hamiltonian systems approach. International Journal of bifurcation and chaos, 11(05):1381–1395.

Sprott, J. C. (1994). Some simple chaotic flows. Physical review E, 50(2):R647.

Tlelo-Cuautle, E., Carbajal-Gomez, V., Obeso-Rodelo, P., Rangel-Magdaleno, J., y Nunez-Perez, J. C. (2015). Fpga realization of a chaotic communication system applied to image processing. Nonlinear Dynamics, 82:1879–1892.

Wang, F. y Xiao, Y. (2020). A multiscroll chaotic attractors with arrangement of saddle-shapes and its field programmable gate array (fpga) implementation. Complexity, 2020.

Yujun, N., Xingyuan, W., Mingjun, W., y Huaguang, Z. (2010). A new hyperchaotic system and its circuit implementation. Communications in Nonlinear Science and Numerical Simulation, 15(11):3518–3524.

Zambrano-Serrano, E., Munoz-Pacheco, J. M., Serrano, F. E., Sánchez-Gaspariano, L. A., y Volos, C. (2021). Experimental verification of the multi-scroll chaotic attractors synchronization in pwl arbitrary-order systems

using direct coupling and passivity-based control. Integration, 81:56–70.

Zhang, X. y Wang, C. (2019). A novel multi-attractor period multi-scroll chaotic integrated circuit based on cmos wide adjustable cccii. IEEE Access, 7:16336–16350.