Volume 14 (2023) . Issue 4 (59) . Paper No. 8 (434)

Optimization Methods and Control Theory

Research Article

SDDRE based nonlinear feedback construction in the tracking problem for a wheeled robot model

Yulia Sergeevna Belinskaya1, Dmitry Alexandrovich Makarov2Correspondent author

Federal Research Center "Computer Science and Control" of RAS, Moscow, Russia
2 Dmitry Alexandrovich Makarov — Correspondent author makarov@isa.ru

Abstract. The article discusses the problem of constructing nonlinear feedback in the tracking problem for a wheeled robotic system. A special feature of the work is the formulation of a problem in which the reference trajectories of the system are known in advance, as well as a modification of a previously known algorithm based on the State-Dependent Differential Riccati Equation technique. Numerical experiments show that the proposed approach allows for a compromise between control quality and operating speed. (In Russian).

Keywords: SDDRE technique, tracking task, two-wheeled robotic system

MSC-20202020 Mathematics Subject Classification 70B15; 93C85MSC-2020 70-XX: Mechanics of particles and systems
MSC-2020 70Bxx: Kinematics
MSC-2020 70B15: Kinematics of mechanisms and robots

Acknowledgments: The study was supported by the Russian Science Foundation grant No. 22-21-00716

For citation: Yulia S. Belinskaya, Dmitry A. Makarov. SDDRE based nonlinear feedback construction in the tracking problem for a wheeled robot model. Program Systems: Theory and Applications, 2023, 14:4, pp. 189–206. (In Russ.). https://psta.psiras.ru/2023/4_189-206.

Full text of article (PDF): https://psta.psiras.ru/read/psta2023_4_189-206.pdf.

The article was submitted 11.11.2023; approved after reviewing 11.12.2023; accepted for publication 12.12.2023; published online 31.12.2023.

© Belinskaya Y. S., Makarov D. A.
2023
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