Optimal Traction Control during High-Speed Maneuvering in Dry Friction Conditions
- Авторлар: Reshmin S.1
-
Мекемелер:
- Ishlinsky Institute for Problems in Mechanics RAS
- Шығарылым: Том 87, № 4 (2023)
- Беттер: 604-617
- Бөлім: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138881
- DOI: https://doi.org/10.31857/S0032823523040112
- EDN: https://elibrary.ru/MKNJAE
- ID: 138881
Дәйексөз келтіру
Аннотация
The problem of controlling the direction of the traction force during the motion of an inertial object is considered. The maximal possible value of the traction force is constant and is determined by the maximal dry friction force. At a finite time interval, the problem of bringing an object to a given rectilinear trajectory with simultaneous velocity maximization in the appropriate direction is considered.
Авторлар туралы
S. Reshmin
Ishlinsky Institute for Problems in Mechanics RAS
Хат алмасуға жауапты Автор.
Email: reshmin@ipmnet.ru
Russia, Moscow
Әдебиет тізімі
- Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V., Mishchenko E.F. The Mathematical Theory of Optimal Processes. N.Y.: Gordon&Breach, 1986. xxiv+360 p.
- Roitenberg Ya.N. Automatic Control. Moscow: Nauka, 1971. 396 p. (in Russian)
- Isaev V.K. L.S. Pontryagins’s maximum principle and optimal programming of rocket thrust // Automation & Remote Control, 1961, vol. 22, no. 8, pp. 881–893.
- Bryson A.E., Ho Y.-C. Applied Optimal Control: Optimization, Estimation, and Control. Waltham, Mass.: Blaisdell Pub. Co., 1969. 481 p.
- Afanas’ev V.N., Kolmanovskii V.B., Nosov V.R. Mathematical Theory of Control System Design. Moscow: Vysshaya shkola, 2003. 614 p. (in Russian)
- Zhuravlev V.Ph. Friction laws in the case of combination of slip and spin // Mech. Solids, 2003, vol. 38, no. 4, pp. 52–58.
- Zhuravlev V.Ph. On the dry frictions model in the rigid body dynamics problems // Uspekhi Mekh., 2005, no. 3, pp. 157–168.
- Andronov V.V., Zhuravlev V.Ph. Dry Friction in Problems of Mechanics. Moscow; Izhevsk: R&C Dyn., 2010. 184 p. (in Russian)
- Zhuravlev V.Ph. Flat dynamics of a homogeneous parallelepiped with dry friction // Mech. Solids, 2021, vol. 56, no. 1, pp. 1–3.
- Rozenblat G.M. On optimal rotation of a rigid body by applying internal forces // Dokl. Math., 2022, vol. 106, no. 1, pp. 291–297.
- Krasovskii N.N. Game-Theoretic Problems on the Encounter of Motions. Moscow: Nauka, 1970. 420 p. (in Russian)
- Reshmin S.A. Synthesis of control of a manipulator with two links // J. Computer & Syst. Sci. Int., 1997, vol. 36, no. 2, pp. 299–303.
- Reshmin S.A., Chernousko F.L. Control synthesis in a nonlinear dynamic system based on a decomposition // JAMM, 1998, vol. 62, no. 1, pp. 115–122.
- Anan’evskii I.M., Reshmin S.A. Decomposition-based continuous control of mechanical systems // J. Computer & Syst. Sci. Int., 2014, vol. 53, no. 4, pp. 473–486.