Boundary control of nonlinearwave equations: An iterative learning control scheme

This paper aims at design and analysis of iterative learning control (ILC) for a class of nonlinear wave equations. Without any simplification or discretization of the 3D dynamics in the time, the space as well as the iteration domains, the learning convergence of ILC is analyzed for the wave equations directly by virtue of the contraction mapping methodology and λ-norm. It is shown that the proposed ILC scheme works well for systems with state-independent or state-dependent nonlinear uncertainties, which has been verified by a simple example.