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Synthesis of zonal controls of nonlinear systems under discrete observations

Synthesis of zonal controls of nonlinear systems under discrete observations This paper is concerned with the synthesis of the optimal control of plants described by systems of nonlinear ordinary differential equations in a class of zonal piecewise-constant control functions under fuzzy initial conditions and the plant parameters. Formulas for the gradient of the cost function are obtained. For the numerical calculation of the values of the designed controls, these formulas enable one to involve efficient methods of first order finite-dimensional optimization. Results of numerical experiments are given based on solutions of model problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatic Control and Computer Sciences Springer Journals

Synthesis of zonal controls of nonlinear systems under discrete observations

Kuliev, S.
Automatic Control and Computer Sciences , Volume 45 (6) – Jan 5, 2012
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Publisher
Springer Journals
Copyright
Copyright © 2011 by Allerton Press, Inc.
Subject
Computer Science; Control Structures and Microprogramming
ISSN
0146-4116
eISSN
1558-108X
DOI
10.3103/S014641161106006X
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with the synthesis of the optimal control of plants described by systems of nonlinear ordinary differential equations in a class of zonal piecewise-constant control functions under fuzzy initial conditions and the plant parameters. Formulas for the gradient of the cost function are obtained. For the numerical calculation of the values of the designed controls, these formulas enable one to involve efficient methods of first order finite-dimensional optimization. Results of numerical experiments are given based on solutions of model problems.

Journal

Automatic Control and Computer Sciences – Springer Journals

Published: Jan 5, 2012

References

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    Gabasov, R.; Kirillova, F.; Kostyukova, O.
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    Quincampoix, M.; Veliov, V.M.
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    Polyak, B.T.; Shcherbakov, P.S.
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    Ovsyannikov, D.A.
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    Evtushenko, Yu.G.
  • Vvedeniye v optimizatsiyu
    Polyak, B.T.
  • Osnovy teorii optimal’nogo upravleniya
    Li, E.B.; Markus, L.