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Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems

Cai Xiushan , Bekiaris-Liberis Nikolaos, Krstić, Miroslav

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URIhttp://purl.tuc.gr/dl/dias/0ECD5A27-5C55-4CB7-9EF9-A8590C699605-
Identifierhttps://doi.org/10.1016/j.automatica.2019.02.038-
Identifierhttps://www.sciencedirect.com/science/article/pii/S0005109819300925-
Languageen-
Extent11 pagesen
TitleInput-to-state stability and inverse optimality of predictor feedback for multi-input linear systemsen
CreatorCai Xiushan en
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
CreatorKrstić, Miroslaven
PublisherElsevieren
DescriptionNikolaos Bekiaris-Liberis was supported by the funding fromthe European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement no. 747898, project PADECOT.en
Content SummaryFor the ‘‘exact’’ predictor-feedback control design, recently introduced by Tsubakino, Krstic, and Oliveira for multi-input linear systems with distinct input delays, we establish input-to-state stability, with respect to additive plant disturbances, as well as robustness to constant multiplicative uncertain-ties affecting the inputs. We also show that the exact predictor-feedback controller is inverse optimal with respect to a meaningful differential game problem. Our proofs capitalize on the availability of a backstepping transformation, which is formulated appropriately in a recursive manner. An example, computed numerically, is provided to illustrate the validity of the developed results.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2019-03-29-
Date of Publication2019-
SubjectDelay compensationen
SubjectPredictor feedbacken
SubjectMulti-input systemsen
SubjectInput-to-state stabilizationen
SubjectInverse optimalityen
SubjectRobustnessen
Bibliographic CitationX. Cai, N. Bekiaris-Liberis and M. Krstic, "Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems," Automatica, vol. 103, pp. 549--557, May 2019. doi: 10.1016/j.automatica.2019.02.038en

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