Finite-Horizon Robustness Analysis under Mixed Disturbances using Signal-IQCs

Research output: Contribution to conferencesPaperContributedpeer-review

Abstract

Common worst-case analyses for uncertain finite-horizon systems consider quadratic performance metrics based on the strict Bounded Real Lemma. Thus, they assess system performance for bounded inputs, e.g., signals in L2, which exhibit a worst-case shape. Consequently, known disturbance characteristics are left unexploited and uncovered, leading to unnecessarily conservative results. The present paper develops a worst-case analysis covering arbitrarily L2-
bounded worst-case signals and partially known disturbances simultaneously. This is achieved by modeling the latter using signal integral-quadratic constraints (IQCs). The resulting analysis condition relies on a dissipation inequality within the IQC framework for finite time horizon problems. This framework also readily allows to incorporate additional system uncertainties
in the analysis. The approach’s feasibility is demonstrated with the worst-case performance analysis of a small unmanned aerial vehicle in an urban environment.

Details

Original languageEnglish
Number of pages6
Publication statusPublished - Jul 2025
Peer-reviewedYes

Conference

Title11th Symposium on Robust Control Design
Abbreviated titleROCOND 2025
Conference number11
Duration2 - 4 July 2025
Website
Degree of recognitionInternational event
LocationColégio de Nossa Senhora de Lourdes
CityPorto
CountryPortugal

External IDs

ORCID /0000-0002-0016-9637/work/191037599
ORCID /0000-0001-6734-704X/work/191038417

Keywords