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The Problem of Selection of the Optimal Strategy of Minimax Control by Objects in Agricultural Production with Distributed Parameters [Текст] / O. Lobok, B. Goncharenko, L. Vihrova, M. Sych

Contributor(s): Material type: ArticleArticleLanguage: English Publication details: 2018.Edition: Конструювання, виробництво та експлуатація сільськогосподарських машин Вип. 48Description: С. 35-44Subject(s): Online resources: In: Конструювання, виробництво та експлуатація сільськогосподарських машин. Вип. 48
Item type: Статті
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The problem of minimax control synthesis for objects in agricultural production that are described by a two-dimensional heat conduction equation of parabolic type is solved. It is assumed that the control object functions under uncertainty conditions, and the perturbations acting on the object belong to some given hyperelipsoid. The problem of constructing a regulator in the state of an object for cases of point and mobile limit control is considered in accordance with the integral-quadratic quality criterion. With the help of numerical optimization methods, the problem of determining the optimal location of concentrated regulators at the boundary of a rectangular region and the problem of finding the optimal law of motion of a mobile limit regulator is solved. The problem is posed and solved in the minimax formulation when there is an optimal control on the state of the object functioning under uncertainty conditions so that the regulator minimizes the maximum control error from a set of possible values, taking into account the most unfavorable perturbations that can act on the object or system. In this case, the perturbations of the object belong to a given limited region.

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