In this paper, a systematic guideline is introduced to design a stable adaptive
fuzzy wavelet controller with sliding mode for a class of uncertain nonlinear
systems. Based on the Lyapunov synthesis approach, we construct the fuzzy wavelet controller such that it can basically control and guarantee the stability of the
whole control system. On the other hand, a robust controller is design to restrain
or eliminate the disturbance and assure the desired output accuracy of a control
system. Some experimental results for a chaotic system are provided here to
demonstrate the effectiveness of the control algorithm.