ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)

vol 64 / April, 2021

DOI 10.17586/0021-3454-2017-60-8-704-711

UDC 681.5


J. . Wang
ITMO University; Post-Graduate Student

Y. A. Kapitanyuk
ITMO University; student

S. A. Chepinsky
ITMO University; Associate professor

S. A. Kholunin
ITMO University, Saint Petersburg, 197101, Russian Federation; leading engineer

D. A. Khvostov
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Saint Petersburg, Russia; student

A. Y. Krasnov
ITMO University, Department of Control Systems and Informatics; Post-Graduate Student

. Chen Yifan
ITMO University; Post-Graduate Student

. Liu Huimin
ITMO University, Department of Control Systems and Informatics; Post-Graduate Student

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Abstract. The problem of synthesis of the trajectory control algorithm for a solid body moving with a preassigned speed along a spatial trajectory given in an implicit form, is considered. The control law is synthesized using differential geometry methods through the nonlinear transformation of the initial dynamic model. Effectiveness of the proposed mathematical model of spatial motion and corresponding nonlinear control algorithm is confirmed by presented results of computer simulation. The formulated control laws is supposed to be useful in development of systems of trajectory control over airborne and underwater mobile robots.
Keywords: algorithm, motion, orientation, trajectory control, coordinates transformation

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