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The use of first integrals in problems of synthesizing optimal control systems

Viktor Berbyuk (Institutionen för tillämpad mekanik, Dynamik)
PMM : Journal of applied mathematics and mechanics (0021-8928). Vol. 50 (1986), 1, p. 11-16 .
[Artikel, refereegranskad vetenskaplig]

The problem of synthesizing optimal control of the motion of a non-linear unsteady system is considered. The control quality is evaluated by a functional of mixed type (a Boltz functional). A method of synthesizing optimal control systems is worked out for systems of variational problems with a fixed time and a free right end, based on the use of first integrals of the equations of a free uncontrolled object. The effectiveness of the proposed method is illustrated by examples.

Nyckelord: Sinthesizing optimal control, non-linear dynamical system, first integral, Boltz functional



Denna post skapades 2009-01-14. Senast ändrad 2015-12-17.
CPL Pubid: 86796

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik

Ämnesområden

Tillämpad matematik
Optimeringslära, systemteori

Chalmers infrastruktur