Robust peak-to-peak gain analysis using integral quadratic constraints

Autor:	Schwenkel, Lukas, Köhler, Johannes, Müller, Matthias A., Allgöwer, Frank
Rok vydání:	2022
Předmět:	Electrical Engineering and Systems Science - Systems and Control Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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 $\ell_1$-norm, as well as when safety-critical constraints need to be satisfied pointwise in time. The use of $\rho$-hard IQCs with a terminal cost enables us to deal with a wide variety of uncertainty classes, for example, we provide $\rho$-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. Comment: 6 pages, submitted to IFAC WC 2023
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.09434 Zobrazit plný text záznamu View this record from Arxiv