Design of iterative learning control algorithms by generalized KYP synthesis

This paper gives new results on the design of iterative learning control algorithms in the repetitive process setting for error convergence and regulation of the transient dynamics. The analysis makes use of the generalized Kalman-Yakubovich-Popov lemma to develop a design algorithm different performance specifications are imposed in one or more frequency ranges. Also these new results allow, if required for an application, the design of controllers with dynamics.