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The use of first integrals to synthesize the energetically optimal control of a nonlinear system

Viktor Berbyuk (Institutionen för tillämpad mekanik, Dynamik)
Journal of Mathematical Sciences (1072-3374 (Print) 1573-8795 (Online)). Vol. 86 (1997), 2, p. 2642-2645.
[Artikel, refereegranskad vetenskaplig]

In the paper a method of solving problems of optimal control of the motion of nonlinear dynamical systems with respect to energy expenditure given a fixed time and fixed ends of the phase trajectory has been proposed. The method is based on the use of first integrals of the equations of free motion. The application of the method is illustrated by examples.

Nyckelord: Energy optimal control, first integrals, nonlinear dynamical systems


www.springerlink.com , DOI: 10.1007/BF02356113



Denna post skapades 2009-01-14. Senast ändrad 2015-12-17.
CPL Pubid: 86756

 

Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik (1900-2017)

Ämnesområden

Tillämpad matematik
Optimeringslära, systemteori
Annan matematik

Chalmers infrastruktur