Effect of modelled noise on stabilization of a chaotic system via Takagi-Sugeno fuzzy model

The presence of noise generally degrades the control environment in any dynamic process. However, the role of noise in a chaotic system presents some engaging possibilities. The effect of modelled noise on stabilization of a chaotic dynamic system is reported in this paper. The noise was modelled as a lumped process and added to the system input. The Takagi-Sugeno (T-S) fuzzy model was used to model a chaotic Lorenz system. Lyapunov stability criteria were used to test for system stability in the presence of the added noise. Numerical simulation results show that the highly aperiodic and corrupted trajectories can be stabilized in the sense of Lyapunov, individually and globally.