Weighted L 2 -norms for Analysis of an Adaptive Control Loop Based on a Non-linear Model

Here it is shown that the use of weighted l2-norms is a useful tool for the analysis of adaptive control loops based on non-linear models. We apply a simpliied feedback linearizing controller based on a linearly parameterized non-linear discrete-time input/output model with slowly time-varying parameters. The main assumption that is required in order to apply weighted l2-norms for analysis is that the non-linearities must satisfy some global growth conditions.