Design of a robust adaptive fuzzy controller globally stabilizing the multi-input nonlinear system with state-dependent uncertainty

In this paper a novel robust adaptive fuzzy controller is proposed for the nonlinear system with state-dependent uncertainty. Compared with the conventional adaptive fuzzy controller that determines the function which bounds the uncertainty in the system dynamics by off-line calculation on the local state space, the proposed method determines that function by the fuzzy inference so that guarantees the stability of the closed loop system globally on the whole state space. In addition the method is applied to the multi-input system. We applied the proposed method to the Burn Control of the Tokamak fusion reactor whose dynamical equations contain the state-dependent uncertainty and proved the effectiveness of the scheme by the simulation results.