CUED Publications database

Dominance margins for feedback systems

Padoan, A and Forni, F and Sepulchre, R Dominance margins for feedback systems. In: UNSPECIFIED. (Unpublished)

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Abstract

The paper introduces notions of robustness margins geared towards the analysis and design of systems that switch and oscillate. While such phenomena are ubiquitous in nature and in engineering, a theory of robustness for behaviors away from equilibria is lacking. The proposed framework addresses this need in the framework of p-dominance theory, which aims at generalizing stability theory for the analysis of systems with low-dimensional attractors. Dominance margins are introduced as natural generalisations of stability margins in the context of p-dominance analysis. In analogy with stability margins, dominance margins are shown to admit simple interpretations in terms of familiar frequency domain tools and to provide quantitative measures of robustness for multistable and oscillatory behaviors in Lure systems. The theory is illustrated by means of an elementary mechanical example.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Uncontrolled Keywords: cs.SY cs.SY math.OC
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 05 Jun 2019 20:12
Last Modified: 12 Dec 2019 01:58
DOI: