Optimal time control in orientation of a two-link body in the supportless phase of motion
Published: 05.03.2014
Authors: Lapshin V.V., Borovin G.K.
Published in issue: #1(25)/2014
DOI: 10.18698/2308-6033-2014-1-1194
Category: Engineering Sciences | Chapter: Theoretical Mechanics. Design of mechanisms and machines
The paper investigates the motion of two joint bodies during the flight phase. The problem of minimization and maximization of the time necessary for their rotation from initial to final position has been solved. Non-zero angular momentum of the system concerning the center of mass is assumed. The problem under consideration is the simplest model of а hopping vehicle motion control in the supportless phase of hopping.
References
[1] Okhotsimsky D., Platonov A., Kiril'chenko A., Lapshin V., Tolstousova V. Advances in mechanics,1992, vol. 15, no. 1-2, pp. 39-70.
[2] Lapshin V.V. Mekhanika i upravlenie dvizheniem shagaiushchikh mashin [Mechanics and motion control of walking machines]. Moscow, Bauman MSTU Publ., 2012, 199 p.
[3] Lapshin V.V. Izvestiya AN SSSR MTT Bulletin of the USSR Academy of Sciences. Mechanics of Solid Body, 1983, no. 5, pp. 42-51.
[4] Lapshin V.V. Izvestiya AN SSSR. MTT - Bulletin of the USSR Academy of Sciences Mechanics of Solid Body,1984, no. 1, pp. 159-165.
[5] Lapshin V.V., Chashnikov S.P. Vestnik MGTU im. N.E. Baumana. Estestvennye nauki - Herald of Bauman Moscow State Technical University, Series “Natural Sciences”, 2011, no. 1, pp. 55-67.
[6] Hodgins J., Raibert M.H. Bipedgymnastics. Robotics research: The fourth international symposium. Cambridge, Massachusetts, MIT press, 1987, pp. 5-14.
[7] Kane T.R., Scher M.P. International journal of solids and structures applied mechanics, 1969, no. 7.
[8] Lapshin V.V. The international journal of robotics research, 1991, no. 4, pp. 327-337.
[9] Raibert M.H. Legged robots that balance. Cambridge, Massachusetts, MIT press, 1986, 234 p.
[10] Lapshin V.V., Kolesnikova G.P. Vestnik MGTU im. N.E. Baumana. Estestvennye nauki - Herald of Bauman Moscow State Technical University, Series “Natural Sciences”, 2007, no. 4, pp. 20-28.
[11] Atans M., Falb P. Optimal’noe upravlenie [Optimal control]. Moscow, Mashi-nostroenie Publ., 1968, 764 p.
[12] Borovin G.K., Lapshin V.V. Preprint 1PM im. M.V. Keldysha, RAN - Preprint of Keldysh Institute of Applied Mathematics, 2012, no. 46, 23 p.