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- Title
Adaptive fixed‐time anti‐synchronization and synchronization control for Liu‐Chen‐Liu chaotic systems with actuator faults.
- Authors
Wang, Huanqing; Chai, Ge; Kang, Shijia
- Abstract
Summary: In this paper, the fixed‐time anti‐synchronization and synchronization fault‐tolerant control problem is considered for two identical Liu‐Chen‐Liu chaotic systems with uncertain parameters. With the help of fixed‐time stability theory and adaptive backstepping method, we propose two novel adaptive controllers. In the control scheme proposed in this paper, the adaptive backstepping technique is used to deal with the unknown parameters contained in the chaotic systems. Besides, the piecewise functional method is used to solve the singularity problem in the controller design process. The designed controllers achieve anti‐synchronization and synchronization of two identical Liu‐Chen‐Liu chaotic systems within the preset time interval. Simulation results are conducted to show the effectiveness of two proposed adaptive controllers.
- Subjects
BACKSTEPPING control method; SYNCHRONIZATION; FAULT-tolerant control systems; ACTUATORS; ADAPTIVE control systems; STABILITY theory; FAULT-tolerant computing
- Publication
International Journal of Adaptive Control & Signal Processing, 2024, Vol 38, Issue 6, p2158
- ISSN
0890-6327
- Publication type
Article
- DOI
10.1002/acs.3799