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Input-to-State stability and inverse optimality of linear Time-Varying-Delay predictor feedbacks

Cai Xiushan, Bekiaris-Liberis Nikolaos, Krstić, Miroslav

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URIhttp://purl.tuc.gr/dl/dias/2B2A431D-9D13-4AE9-BE0B-C55283CCFB34-
Identifierhttps://ieeexplore.ieee.org/document/7964747/-
Identifierhttps://doi.org/10.1109/TAC.2017.2722104-
Languageen-
Extent8 pagesen
TitleInput-to-State stability and inverse optimality of linear Time-Varying-Delay predictor feedbacksen
CreatorCai Xiushanen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
CreatorKrstić, Miroslaven
PublisherInstitute of Electrical and Electronics Engineersen
Content SummaryFor linear systems with time-varying input delay and additive disturbances we show that the basic predictor feedback control law is inverse optimal, with respect to a meaningful differential game problem, and establish its robustness to constant multiplicative perturbations appearing at the system input. Both of these properties of the basic predictor feedback controller have not been established so far, even for the constant-delay case. We then show that the basic predictor feedback controller, when applied through a low-pass filter, is again inverse optimal and study its input-to-state stability as well as its robustness, to the low-pass filter time constant, properties. All of the stability and inverse optimality proofs are based on the infinite-dimensional backstepping transformation, which allows us to construct appropriate Lyapunov functionals. A numerical example is also provideden
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-05-08-
Date of Publication2017-
SubjectAdaptive controlen
SubjectBacksteppingen
SubjectDelay systemsen
SubjectDelaysen
SubjectDisturbance attenuationen
SubjectInput-to-state stabilizationen
SubjectInverse optimalityen
SubjectLinear predictor feedbacken
SubjectLinear systemsen
SubjectNumerical stabilityen
SubjectRobustnessen
SubjectStability criteriaen
Bibliographic CitationX. Cai, N. Bekiaris-Liberis and M. Krstic, "Input-to-State stability and inverse optimality of linear Time-Varying-Delay predictor feedbacks," IEEE Trans. Automat. Contr., vol. 63, no. 1, Jan. 2018. doi: 10.1109/TAC.2017.2722104 en

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