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Instruments and Systems: Monitoring, Control, and Diagnostics

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Optimization of initial coordinates and realization of dynamic restrictions in problems of trajectory management
B.K. NARTOV

In work the method of optimization of initial placement of group of the operated mobile objects (MO) which characteristics worsen as
a result of influences of others MO and aging is presented. The idea of a method consists that for an initial problem of optimum control MO the auxiliary dual task registers and iterative process in which steps initial and dual tasks alternate is realized, and as part of entry conditions of the next step of iteration the part of final values of the previous step is used. Thus the dual task differs from initial in the address of signs of the right parts of initial system of the differential equations and a sign of functionality of quality, and also the address of the set temporary processes (for example, the set movements of part MO). Only some
elementary rules of correction of part of final values of even steps and restrictions on a vector of management of an initial task are in addition used. If in a specific objective of management a state an essence monotonously worsening physical characteristic, the scheme of process of
optimization of entry conditions it is possible to present in the form sequences of solutions of the alternating problems of “exhaustion”
(straight line) and “restoration” (return).)
The found approach allows is directed to optimize an initial vector of coordinates MO in all tasks described by smooth systems with
continuously differentiable functionality of quality.
Three types of solutions of problems of trajectory management MO differing with intervals of realization of dynamic restrictions are
allocated.
The results can be directly used in the algorithmic providing automated and automatic trajectory control systems
Keywords: control systems, mobile objects, initial placement, return task, dynamic restrictions.

Contacts: E-mail: nartov@ofim.oscsbras.ru

Pp. 06-09.

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