2022/11/17 by Schwenkel, Lukas, Köhler, Johannes, Müller, Matthias A. +1
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.2211.09434
This work provides a framework to compute an upper bound on the robust peak-to-peak gain of discrete-time uncertain linear systems using integral quadratic constraints (IQCs). Such bounds are of particular interest in the computation of reachable sets and the ℓ1-norm, as well as when safety-critical constraints need to be satisfied pointwise in time. The use of ρ-hard IQCs with a terminal cost enables us to deal with a wide variety of uncertainty classes, for example, we provide ρ-hard IQCs with a terminal cost for the class of parametric uncertainties. This approach unifies, generalizes, and significantly improves state-of-the-art methods, which is also demonstrated in a numerical example.