Journal article

Enlarging the basin of attraction by a uniting output feedback controller

Miguel A Davo, Christophe Prieur, Mirko Fiacchini, Dragan Nesic

Automatica | Elsevier | Published : 2018


We consider a system for which two predesigned stabilizing output feedback controllers with bounded domains of attraction are known. One renders the system asymptotically stable with some desired performance, and the other provides ultimate boundedness with larger domain of attraction. Assuming that two subsets of the domains of attraction are known, one larger than the other, this work states the problem of combining both controllers with the goal of guaranteeing asymptotic stability properties in the largest subset while the desired performance is locally achieved. We design a switching logic between the controllers that solves the problem, based on the existence of a local tunable observe..

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Awarded by LabEx PERSYVAL-Lab

Awarded by ANR project LimICoS

Funding Acknowledgements

This work has been supported by the LabEx PERSYVAL-Lab (ANR-11-LABX-0025-01), the ANR project LimICoS contract number 12-BS03-005-01, and the Australian Research Council under the discovery grants scheme. The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Ricardo Sanfelice under the direction of Editor Daniel Liberzon.