Stable fuzzy adaptive control for a class of nonlinear system

A new hybrid fuzzy adaptive control scheme is presented systematically for a class of affine nonlinear unknown systems using Lyapunov stability theory. Because of combining fuzzy control with fuzzy identification, it demands little pre-knowledge about the plant models, so the method is generally applicable. In order to overcome the problem of the model mismatch, a compensation control term is introduced into the controller. Based on the conception, approximate error coefficient, the degree of accuracy of the fuzzy identifier can be described quantitatively. According to this, the identifier can be designed easily and suitably.