Work

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

Year: 2021

Type: article

Abstract: 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.

Source: Complexity

DOI: 10.1155/2021/8865522

Authors: Huaigu Tian, Zhen Wang, Peijun Zhang, Mingshu Chen, Yang Wang

Institutions: Xijing University, Xi'an University of Technology

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,760

Funder: Natural Science Basic Research Program of Shaanxi Province