Iterative learning scheme design for a class of discrete-time nonlinear systems

This paper considers iterative learning scheme design for a class of single-input-single-output discrete-time nonlinear systems with the input-output coupling parameter being zero. By taking advantage of the known system dynamics, an iterative scheme with system state feedback is proposed. It is proven that under certain conditions the system output signals are convergent to the desired system output signals along the iteration direction except the uncontrollable part of the real system output. An example is given to demonstrate the advantages of iterative leaning scheme with system state feedback.