A PD-type Iterative Learning Control Algorithm for One-dimension Linear Wave Equation

Many applications can be described by the wave equation, as a kind of important second order partial differential equations. This paper suggests applying PD-type iterative learning control (ILC) scheme with initial state learning (ISL) to a class of linear one-dimensional wave equation. A sufficient condition is given to insure the convergence of the tracking errors. Finally, a numerical simulation is presented to illustrate the efficiency of the proposed method.