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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v33.i2.90
6 pages

Averaging in Problems of Optimal Control for Systems with Fast and Slow Variables

Victor A. Plotnikov
Odessa State University, Ukraine
Irina A. Boitsova
Odessa Hydrometeorological Institute, Ukraine


We consider the problem of optimal control for the system, which includes fast and slow variables, with the terminal performance criterion. The algorithm of direct averaging of equations of control motion is applied for solving. The averaged autonomous problem of optimal control is associated with initial non-autonomous problem of optimal control. The solution of the autonomous problem is essentially simpler found than the solution of the initial problem. On the basis of the optimal control for the averaged problem we recover the asymptotically optimal control of the initial problem. The substantiation of the mentioned algorithm is proved.

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