Mastering chaos: A review

• Published in: Annual reviews in control 2024-01, Vol.58, p.100966, Article 100966
• Main Authors: Hamidouche, Baghdadi, Guesmi, Kamel, Essounbouli, Najib
• Format: Article
• Language: English
• Subjects: Chaos control; Chaotic system; Delayed sliding mode control; Lyapunov exponents; PID; Structural stability; Time-delayed system
• ISSN: 1367-5788
• DOI: 10.1016/j.arcontrol.2024.100966

Chaos control remains a crucial area of study in nonlinear dynamics due to its ability to enhance system stability and efficiency in various applications. This review thoroughly examines modern chaos control techniques and offers new insights and methods for stabilizing inherently unpredictable systems. It discusses recent advancements in chaos control, focusing on theoretical breakthroughs and practical applications. Various methods for controlling chaos are explored, including the OGY method, Delayed Feedback Control (DFC), Proportional–Integral–Derivative (PID) control, Sliding Mode Control (SMC), and some unconventional techniques, evaluating their effectiveness in different chaotic systems. By analyzing the literature, this review highlights the potential of chaos control techniques to enhance system predictability and reliability, opening up promising paths for future research. [Display omitted] •Chaos control is a fundamental concept in the study of nonlinear systems.•One of the main objectives in controlling dynamical systems is achieving stability.•Some elementary concepts and tools are essential for understanding chaos.•This review summarizes the main control strategies used to stabilize chaotic systems.•Studying and investigating different control techniques helps in choosing the appropriate approach to use.