FUZZY STABILIZATION OF A COUPLED LORENZ-ROSSLER CHAOTIC SYSTEM

This paper reports the stabilization of a novel system realized by additively coupling the Lorenz and Rossler chaotic systems. The structural dynamics of the novel system is distinctively different and topologically nonequivalent to the of either the Lorenz or Rossler systems. A Lyapunov function-based fuzzy controller was designed and employed to drive the trajectories of the system to some equilibrium point at the origin, in the sense of Lyapunov. The various scenarios observed by manipulation of the system's equations during numerical simulations using MATLAB software are discussed. Overall, the results show that the novel system is stabilizable at some equilibrium points. However, the parameters still need some fine tuning to produce an elegant relationship that can evolves into a strange attractor.