Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor

In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation.

Automated summary

This paper explores a 3D jerk chaotic system with hidden attractor, investigates its dissipativity, equilibrium, and stability, and analyzes the attractor types, Lyapunov exponents, and Poincare section under different parameters. A robust feedback controller is designed for the synchronization of the 3D jerk master-slave system, and the feasibility is verified through circuit experiments and numerical simulations.