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Journal of Automation and Information Sciences

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Relay Control of Nonlinear System with Uncertain Values of Parameters

Volumen 42, Ausgabe 7, 2010, pp. 54-64
DOI: 10.1615/JAutomatInfScien.v42.i7.40
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ABSTRAKT

Consideration is given to optimal control problems for objects described by systems of ordinary differential equations on the class of relay piecewise constant control functions with uncertain initial information on the parameters of initial conditions and on object parameters. In the problem piecewise constant values of the controls and what is the most important, the boundaries of constancy intervals of the controls are optimized. For the case when the number of constancy intervals of controls is given, the necessary optimality conditions and formulas for the gradient of the functional are obtained allowing the efficient first order optimization methods to be employed for numerical solution of the problem. For the case, when the number of constancy intervals is not given the optimization algorithm is suggested.

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