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On the Generalization and Stability Analysis of Pareto Seeking Control
Luleå tekniska universitet, Institutionen för system- och rymdteknik, Signaler och system.ORCID-id: 0000-0002-9901-5776
Luleå tekniska universitet, Institutionen för system- och rymdteknik, Signaler och system.ORCID-id: 0000-0001-8893-4809
Department of Chemical Engineering, Queens University, Kingston, ON.
2018 (engelsk)Inngår i: IEEE Control Systems Letters, E-ISSN 2475-1456, Vol. 2, nr 1, s. 145-150Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this letter, we address a multi-objective on-line optimization problem for unknown dynamical systems by providing a generalization of the Pareto seeking controller (PSC). The idea of the PSC is to drive the system to the Pareto front in the absence of knowledge of the values of the objectives or the input values to achieve Pareto optimality. Two special cases are presented, for two objectives and three objectives. A stability analysis is presented for the case of two objectives and two inputs, which shows that the controller practically drives the system into the neighborhood of the Pareto front, for any initial condition. Two simulation examples for the special cases are also presented

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Institute of Electrical and Electronics Engineers (IEEE), 2018. Vol. 2, nr 1, s. 145-150
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URN: urn:nbn:se:ltu:diva-68176DOI: 10.1109/LCSYS.2017.2774207OAI: oai:DiVA.org:ltu-68176DiVA, id: diva2:1195316
Tilgjengelig fra: 2018-04-05 Laget: 2018-04-05 Sist oppdatert: 2018-04-05bibliografisk kontrollert

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