Open-loop D-Type Iterative Learning Control for a Class of Nonlinear Systems with Arbitrary Initial Value

The convergence condition of the open-loop D-type iterative learning control for a class of nonlinear systems with arbitrary initial value was researched. The convergence of the learning algorithm was proved based on operator theory. The limitations about the initial state of the dynamical system at the beginning of learning process could be neglected. The convergence condition is weaker than the known results. A simulation example was given. The results of theory analysis and simulation illustrate the effectiveness of the learning control method.