000015516 001__ 15516
000015516 005__ 20161115100224.0
000015516 04107 $$aeng
000015516 046__ $$k2016-08-21
000015516 100__ $$aReshmin, Sergey
000015516 24500 $$aTime-Optimal Control for Pendulum-Like Systems in Case of Large Control Bounds

000015516 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015516 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015516 506__ $$arestricted
000015516 520__ $$2eng$$aA time-optimal control problem for a pendulum-like system is considered. The system describes the dynamics of an inertial object under the action of a bounded control force and an external force which is periodic in coordinate. The terminal set consists of points on the abscissa axis of the phase plane, and the distance between two neighboring points is equal to the period of the external force. We suggest a numeric procedure that allows one to find an exact estimate for the amplitude of the control for which the time-optimal feedback control has the simplest structure: the number of switchings is not greater than one for any initial conditions. We consider the coordinate of the first terminal point as a parameter and find such estimate for different terminal positions in case of pendulum and earth satellite control problems.

000015516 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015516 653__ $$a

000015516 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015516 720__ $$aReshmin, Sergey
000015516 8560_ $$ffischerc@itam.cas.cz
000015516 8564_ $$s142617$$uhttps://invenio.itam.cas.cz/record/15516/files/TS.SM16-3.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2987, code TS.SM16-3.02
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000015516 962__ $$r13812
000015516 980__ $$aPAPER