Bounds of Fuzzy Controller output scaling gains for stabilization of a dissipative chaotic system

Chaotic systems are extremely sensitive to perturbations in their system dynamics leading to unpredictability of their evolution in time scale. This extreme sensitivity can be exploited for fast tuning of Fuzzy Controller output signals to attain asymptotic stability in the sense of Lyapunov, while preserving the uniqueness of the control law. This paper investigates the bounds of feasible regions for heuristic tuning of a Fuzzy Controller output scaling factor to achieve local asymptotically stable trajectories of a Lorenz chaotic system based on the Lyapunov stability criteria. Numerical simulations of the closed-loop system using MATLAB® software shows that the heuristic tuning approach is less time consuming and equally establishes the regions of controllability and stabilizability of the Controller based on the observed system responses.