Chaos synchronization via an energy-shaping approach

https://doi.org/10.58571/CNCA.AMCA.2025.003

Resumen: This work addresses the synchronization of chaotic Hamiltonian mechanical systems via an energy shaping-based control methodology within a master-slave configuration. The proposed control scheme ensures global exponential stability (GES) of the state-space origin of the closed-loop system. Specifically, two representative chaotic systems -the Hénon-Heiles system and the double pendulum- are employed as two examples for illustration. The effectiveness of the control laws is demonstrated through numerical simulations.

¿Cómo citar?

Cervantes-Pérez, L., Santibáñez, V. & Sandoval, J. (2025). Chaos synchronization via an energy-shaping approach. Memorias del Congreso Nacional de Control Automático 2025, pp. 13-19. https://doi.org/10.58571/CNCA.AMCA.2025.003

Palabras clave

Chaos, synchronization, energy-shaping.

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