Mr. Rokui et K. Khorasani, AN INDIRECT ADAPTIVE-CONTROL FOR FULLY FEEDBACK LINEARIZABLE DISCRETE-TIME NONLINEAR-SYSTEMS, International journal of adaptive control and signal processing, 11(8), 1997, pp. 665-680
An indirect adaptive control for a discrete-time non-linear system tha
t is fully input-output linearizable is developed. The unknown paramet
ers of the system are identified by using a multi-output RLS algorithm
. Based on the certainty equivalence principle, the estimated paramete
rs are then utilized in the controller design. Stability of the adapti
vely controlled closed-loop system is shown by using the Lyapunov meth
od. Numerical simulations are included to illustrated the performance
of the proposed strategy. (C) 1997 by John Wiley & Sons, Ltd.