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Avtomatika i Telemekhanika, 2015, Issue 5, Pages 145–164 (Mi at14238)  
This article is cited in 4 scientific papers (total in 4 papers)

Topical issue

Time-suboptimal feedback design via linear matrix inequalities

A. E. Polyakov

INRIA, Lille, France
Full-text PDF (312 kB) Citations (4)
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Abstract: In this paper, a time-optimal control problem is considered for plants represented by chains of integrators. A suboptimal solution obtained by using the implicit Lyapunov function approach is proposed in the form of continuous finite-time state feedback regulator. An algorithm for optimal tuning the parameters of the controller is formulated as a finite-dimensional semidefinite program. A robustness-oriented comparison of the optimal and suboptimal solutions in practical implementations of the proposed controller is performed via the numerical example of double integrator.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 01.12.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 5, Pages 847–862
DOI: https://doi.org/10.1134/S0005117915050100
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. E. Polyakov, “Time-suboptimal feedback design via linear matrix inequalities”, Avtomat. i Telemekh., 2015, no. 5, 145–164; Autom. Remote Control, 76:5 (2015), 847–862
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2015/i5/p145
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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