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Aerospace Instrument-Making

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Application of the memetic algorithm in a problem of finding the optimal program control of nonlinear continuous deterministic systems
Panteleev A.V. Pismennaya V.A.

This article presents the memetic algorithm for solving the problem of finding the optimal program control of nonlinear continuous deterministic systems. The algorithm bases on the concept of the «meme». The term «meme» was introduced and defined by R. Dawkins as «the basic unit of cultural transmission, or imitation». In the proposed algorithm a meme is one of the most promising solutions obtained during the procedure of local search. The algorithm has been implemented as a complex of programs written in C#, which allows to apply the developed algorithm for different systems. Several model problems were resolved, including the problem of orientation and stabilization of the spacecraft, as well as the singular control problem with which demonstrated the effec-tiveness of the algorithm. Comparison of the results which were obtained using the de-scribed algorithm with similar results obtained by other methods showed the effectiveness of the developed algorithm and software for the considered class of problems.
Key words: meme, memetic algorithm, program control, nonlinear continuous deterministic systems, op-timization, hybrid algorithm, simulated annealing, ant colony algorithm.


Contacts: E-mail: avpanteleev@inbox.ru

Pp. 26-34.

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