METHOD OF DYNAMIC PROGRAMMING FOR INFORMATION ROBOT’S BRANCHING PATH OPTIMIZATION

Authors

  • O. M. Tachinina National Aviation University, Kyiv

DOI:

https://doi.org/10.18372/1990-5548.53.12150

Keywords:

Compound dynamic system, optimal control, branching path.

Abstract

The article describes and proves the necessary and sufficient conditions for optimality of information robot’s branching path with branching profile containing the central and lateral branches without interaction of subsystems after separation. The formulated conditions make it possible to determine the optimal coordinates and instants of the branching time of the trajectory, as well as the optimal controls and trajectories of the components of the information robot to the specified purposes along the hotel branches of the trajectory after they are separated from the carrier. The practical importance of the obtained conditions lies in the fact that it is possible to develop on its base the computational procedures for on-line calculation of optimal branching paths of such compound dynamical systems.

Author Biography

O. M. Tachinina, National Aviation University, Kyiv

Department of Automation and Energy Management

Candidate of Science (Engineering). Associate Professor

References

O. Lysenko and O. Tachinina, “Mathematical formulation of the problem of optimization of the motion of a group of flying robots on the basis of unmanned aerial vehicles,” Visnyk AMU, Kyiv, 2014, vol. 1(7), pp. 93–99.

L. Ashchepkov. Optimal control of discontinuous systems. Novosibirsk, Nauka, 1987, 226 p.

O. Lysenko, O. Tachinina, S. Chumachenko, and O. Nikulin, “Problem of the theory of branching paths to solve problems of search and rescue emergencies in the area,” Tehnycheskaya Mechanics, Dnepropetrovsk, 2015, vol. 1, pр.73–78.

O. Lysenko, O. Tachinina, “Method of location of sensors based on the compound dynamic system technology in the area of emergency situation”. International periodic scientific journal SWorld, Ivanovo, 2014, vol. 1, pp. 84–89.

O. Tachinina, “Conditions for optimality of the trajectory groups of unmanned aerial vehicles to possible changes in the target motion at any time in a given interval.” Visnyk AMU, Kyiv, 2015, no. 1(9). pp. 178–185.

A. Sage and Ch. C. White, Optimum Systems Control. Moscow, Radio and connection, 1982, 392 p.

R. Bellman, Dynamic Programming, Princeton, Princeton University Press, 1957, 400 p.

N. Sivov and O. Lysenko, “Minimization of the functional of the generalized work in the optimization problem of an arbitrarily branching trajectory of a composite dynamical system, Integrated on-board systems,” Moscow, 1989, vol. 3. pp. 37–46.

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MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS