Model reference adaptive control of non-linear systems using the Wiener model

MRAC is applied to the control of non-linear systems represented by the Wiener model wherein the non-linearity is an any-order polynomial. The adaptive algorithms proposed in this paper guarantee the asymptotic stability of the error between the plant output and the reference model with an adequate convergence rate. The coefficients of the non-linear polynomial can be identified by the proposed adaptive procedure. To illustrate the validity of the method, it is applied to the control of servo-systems in a numerical example.