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Evgeny Veremey
Yaroslav Knyazkin

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Evgeny Veremey
Yaroslav Knyazkin

WSEAS Transactions on Systems and Control

Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 12, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 12, 2017

SISO Problems of H2-Optimal Synthesis with Allocation of Control Actions

AUTHORS: Evgeny Veremey, Yaroslav Knyazkin

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ABSTRACT: This paper is devoted to H2-optimization of linear time invariant (LTI) systems with scalar controls and external disturbances. It is supposed that the intensities of control actions are not given initially for all channels of control. In conformity, a joined problem of H2-optimal synthesis is posed including allocation of control actions. To solve this problem, a specific spectral approach in frequency domain is developed based on polynomial factorization. Some theoretical details are discussed and numerical algorithm is proposed for practical implementation of this approach, which allows to increase a computational efficiency of synthesis. Applicability and effectiveness of the proposed approach are illustrated by numerical example.

KEYWORDS: control allocation, optimization, H2-control, feedback, functional


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[6] E I. Veremey, “Efficient Spectral Approach to SISO Problems of H2-Optimal Synthesis”, Applied Mathematical Sciences, Vol. 9, no. 79, pp. 3897 – 3909, 2015.

[7] E.I. Veremey, V.V. Eremeev, N.A. Zhabko, S.V. Pogozhev, “Degenerate problems of Hoptimization for SISO LTI systems and realizability issues”, Automation and Remote Control, Vol. 76, Issue 6, pp. 1094-1100, 2015.

[8] E.I. Veremey and M. V. Sotnikova, “Spectral Approach to H∞-Optimal SISO Synthesis Problem”, WSEAS Transactions on Systems and Control, Vol. 9, 2014.

[9] T.I. Fossen, Handbook of Marine Craft Hydrodynamics and Motion Control, John Wiley & Sons Ltd, 2011.

[10] E.I. Veremey, “Dynamical Correction of Control Laws for Marine Ships' Accurate Steering”, Journal of Marine Science and Application, Vol. 13, Issue 2, pp. 127-133, 2014.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 12, 2017, Art. #20, pp. 193-200

Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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