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Data to Controller for Nonlinear Systems: An Approximate Solution
Univ Newcastle, Sch Engn, Callaghan, NSW, Australia..
Univ Newcastle, Sch Engn, Callaghan, NSW, Australia..ORCID iD: 0000-0003-0222-959X
Univ Newcastle, Sch Engn, Callaghan, NSW, Australia..ORCID iD: 0000-0002-8556-6649
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Artificial Intelligence.ORCID iD: 0000-0001-5183-234X
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2022 (English)In: IEEE Control Systems Letters, E-ISSN 2475-1456, Vol. 6, p. 1196-1201Article in journal (Refereed) Published
Abstract [en]

This letter considers the problem of determining an optimal control action based on observed data. We formulate the problem assuming that the system can be modeled by a nonlinear state-space model, but where the model parameters, state and future disturbances are not known and are treated as random variables. Central to our formulation is that the joint distribution of these unknown objects is conditioned on the observed data. Crucially, as new measurements become available, this joint distribution continues to evolve so that control decisions are made accounting for uncertainty as evidenced in the data. The resulting problem is intractable which we obviate by providing approximations that result in finite dimensional deterministic optimization problems. The proposed approach is demonstrated in simulation on a nonlinear system.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) Institute of Electrical and Electronics Engineers (IEEE), 2022. Vol. 6, p. 1196-1201
Keywords [en]
Optimization, Monte Carlo methods, Markov processes, Uncertainty, Random variables, Measurement uncertainty, Data models, Identification for control, nonlinear systems identification, predictive control for nonlinear systems, stochastic optimal control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-484080DOI: 10.1109/LCSYS.2021.3090349ISI: 000670543700027OAI: oai:DiVA.org:uu-484080DiVA, id: diva2:1694048
Funder
Swedish Research Council, 621-2016-06079Available from: 2022-09-08 Created: 2022-09-08 Last updated: 2024-12-03Bibliographically approved

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Schön, Thomas B.

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