Using Iterative Learning Control methods for 2-D systems

In this paper, we discuss the application of Iterative Learning Control (ILC) algorithm in two-dimensional problems. Especially, the Optimal ILC is considered. For this issue by using 1-D model of WAM (Wave Advanced Model), the 2-D model converts to 1-D model. To generate the control rule in every iteration, by using optimization methods, a cost function would be minimized to achieve the 1-D model of WAM, the convergence of this method also will be checked. Besides the application of Iterative methods in continuous 2-D differential equations and nonlinear 2-D systems is examined in the current article.