Iterative learning control algorithm based on newton-projection method

The iterative learning control algorithm based on Newton-Projection method for nonlinear dynamic system is proposed. Introduced projection method to iterative learning control problem, we construct the orthonormal basis of the control space. The output tracking problem is transformed into the problem of nonlinear equations in the finite dimension. Newton method is utilized to solve the nonlinear equations and improve the control law so that the target output is tracked. Sufficient conditions of convergence for this algorithm are given and proved. The implementation of the new algorithm has the advantage that the new iterative learning control algorithm has simple computation work in complex nonlinear systems, which can be also used to distributed parameter systems.