Chaos Control of the Complex Rabinovich System via Takagi-Sugeno Fuzzy Controller

The design of a fuzzy stabilization controller via Takagi-Sugeno fuzzy model to control the complex Rabinovich chaotic system is reported in this paper. The Rabinovich system is a four-parameter, three-coupled family of quadratic differential equations that is topologically non-equivalent to the Lorenz system but can nonetheless transits from a Lorenz-like dynamics to a four-wing butterfly shaped strange attractor, possessing unique characteristics as its parameters are positively varied. Numerical simulations of the closed loop system shows that the designed controller asymptotically stabilizes the state variables in the sense of Lyapunov.