Iterative learning control-Convergence using high gain feedback

The author introduces a theoretical approach for a class of linear systems in state-space form. A theoretical contribution to convergence theory is presented for iterative learning control systems combining aspects of current iterative learning theory with control-theoretical techniques to provide a well defined convergence criterion parameterized by a single gain parameter. The convergence is in the weak topology of L^m₂(0,T) with T finite and applies to both finite-dimensional systems and a class of infinite-dimensional systems