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Avtomatika i Telemekhanika, 2017, Issue 10, Pages 55–73 (Mi at14902)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

Adaptive suboptimal tracking under bounded Lipshitz uncertainty in a discrete minimum-phase object

V. F. Sokolov

Komi Research Center of the Ural Branch of the Russian Academy of Sciences, Syktyvkar, Russia
Full-text PDF (1442 kB) Citations (2)
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Abstract: We consider a deterministic problem of asymptotically suboptimal tracking of a bounded reference signal with the output of a scalar discrete minimum-phase object with unknown transition function under a bounded external disturbance and bounded nonlinear stationary uncertainty satisfying a generalized Lipschitz condition. Suboptimality of the tracking is achieved with online estimation and compensation for nonparametric Lipschitz uncertainty in addition to estimating an unknown transition function. To solve the problem we use two parallel estimation algorithms, one of which provides stability for the closed adaptive system, the other, asymptotic tracking optimality with desired accuracy.
Keywords: adaptive control, suboptimal tracking, Lipschitz uncertainty, model verification, bounded disturbance.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-16-1-3
Russian Science Foundation 14-29-00142
This work was supported by the Program of Basic Research of the Ural Branch of the Russian Academy of Sciences, project no. 15-16-1-3. The new method of two models was developed in the Institute of Machine Engineering of the Russian Academy of Sciences and supported by the Russian Science Foundation, project no. 14-29-00142.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 04.10.2016
English version:
Automation and Remote Control, 2017, Volume 78, Issue 10, Pages 1775–1789
DOI: https://doi.org/10.1134/S0005117917100034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. F. Sokolov, “Adaptive suboptimal tracking under bounded Lipshitz uncertainty in a discrete minimum-phase object”, Avtomat. i Telemekh., 2017, no. 10, 55–73; Autom. Remote Control, 78:10 (2017), 1775–1789
Citation in format AMSBIB
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\paper Adaptive suboptimal tracking under bounded Lipshitz uncertainty in a~discrete minimum-phase object
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\pages 55--73
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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