Adaptive control of chaotic systems

Studies on the control of chaotic systems are gaining more importance day by day and this field is enriched with new research directions and contributions in the literature. Among the types of control, adaptive control remains up-to-date and needs to be applied to different fields. In the initial phase, the chaotic nature of the system is suppressed by adjusting certain parameters of nonlinear systems exhibiting chaotic dynamics, and then the control system is designed according to this new structure. Controlling systems with chaotic behavior is usually associated with steering the system to a determined equilibrium state and stabilizing it at that point. Adaptive control methods play an important role in bringing dynamic systems with unstable behavior to the equilibrium point and making them stable. This method is based on suppressing chaotic behavior by dynamically changing the parameters of the system. In this study, the controllability of chaotic dynamics is analyzed and adaptive control methods are developed to make these systems more stable. The simulations of the adaptive control studies are coded with Python software language and as a result of the experiments, it is observed that the method is effective.