Adaptive control of the Wang-Sun four-scroll chaotic system with unknown parameters

Control, regulation and synchronization of chaotic systems are important areas of research in the control literature and various methods have been adopted for these research problems. Also, the discovery of multi-scroll chaotic systems in various applications, their qualitative properties and the control of such systems are also important research areas in chaos theory. This paper describes the four-scroll Wang-Sun chaotic system (2009) and details its qualitative properties such as Lyapunov exponents and Lyapunov dimension. Next, the main result of this paper, namely, an adaptive feedback controller has been constructed for the global stabilization of Wang-Sun four-scroll chaotic system with unknown system parameters for all initial states. Phase portraits of the Wang-Sun four-scroll chaotic system and adaptive feedback control results have been demonstrated using numerical simulations with MATLAB.