Robust Parameter Adjustment

Motivated by uncertainty characterizations often appearing in robust control literature, we treat parameter identification in the presence of nonparametric weighted-ball-in-H^¿ unmodelled dynamics, as well as induced-L²-norm-bounded unmodelled dynamics. A deterministic notion of information is presented and utilized. A robust parameter adjustment law is stated, and monotonic parameter error reduction is proven, with strict monotonicity whenever the information is strictly positive.