Robust Guaranteed Synchronization for Chaotic Systems With Incremental Quadratic Constraints

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 70; no. 10; pp. 1 - 11
• Main Authors: Wang, Xudong, Wang, Guoqi, Li, Zhe, Wang, Yaonan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Chaos; Chaos theory; Chaotic communication; Chaotic systems; Circle criterion; incremental quadratic constraints; interval estimation; Noise measurement; Observers; Parameter uncertainty; Perturbation; Perturbation methods; Process parameters; Robustness; Synchronism; Synchronization; Uncertainty; zonotopes
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2023.3292478

This paper concerns the robust guaranteed synchronization of chaotic systems subject to unknown but amplitude-bounded parameter perturbation, process disturbance, and measurement noise. The incremental quadratic constraints are adopted to provide a unified description of chaotic systems, based on which a circle criterion-based observer with <inline-formula> <tex-math notation="LaTeX">\ell_{\infty}</tex-math> </inline-formula> performance is design to attenuate the impacts of unknown uncertainties on synchronization error. Based on the designed observer, a zonotope-based guaranteed synchronization algorithm is proposed via mean value extension and zonotope inclusion techniques, where all the uncertainties from parameter perturbation, process disturbance, measurement noise, and chaotic behavior are taken into consideration. Finally, simulation results on the hyper-chaotic Chen system are presented to demonstrate the effectiveness of the proposed method.