ABOUT THE TRANSFER DYNAMICS IN WALKING MOVERS OF UNDERWATER MOBILE ROBOTS

  • E.S. Briskin Volgograd State Technical University
  • Y.V. Kalinin Volgograd State Technical University
  • M.V. Miroshkina Volgograd State Technical University
Keywords: Underwater mobile robot, multileg walking machine, the gait of multileg walking machine, optimality criterion for energy consumption, energy consumption, rms acceleration

Abstract

The problem of determining the programmed modes of motion in walking underwater mo-bile robots at the stage of transfer to a new position and overcoming obstacles is considered. Ob-stacles are considered to be of a known height, an infinitely small width and located at a certain distance from the initial position of the robot’s foot on the ground. Obstacles are identified by the information-measuring system. The methods of forming the programmed mode of movement of the transported foot are analyzed. The problem of development of movement based on information about the ground profile is considered. Methods to eliminate impact interaction and slippage of feet on the ground are discussed. The system of differential equations of motion of the transported foot is made, taking into account the resistance forces of the medium. Resistance forces are taken linearly dependent on speed, physical and mechanical properties of the medium when the feet are taking off, are not taken into account. The movement of the body is considered as translational with a rectilinear and uniform movement of the center of mass. An optimality criterion of the movement of the transported foot as a material point is formed, consisting of several integral indi-cators of the quality of the movement (the level of heat loss in the drive motors, the rms horizontal and vertical acceleration of the foot of the mover, etc.). The variational problem is solved at two stages of motion. The first stage is the movement before reaching the obstacle, the second stage is the movement after overcoming the obstacle before laying on the ground. The extension of the variational problem of determining the minimum of quality indicators as functions depending on the parameters of movement: the time to reach the obstacle and the speed of transfer of the foot through the obstacle is justified. The model problem is stated and solved, and the results are ana-lyzed. The laws of the influence of speed and modes of movement of the foot on indicators of quality of movement are established. The definition of the program mode is based on the choice of the optimality criterion, composed of various integral indicators of the quality of movement. The graphs of changes in quality indicators, depending on the speed of movement, are presented. Their characteristic feature is a decrease in the efficiency of movement with increasing speed. Therefore, the mode of movement should be chosen on the basis of a compromise between speed and indicators taken into account.

References

1. Artobolevskiy I.I., Umnov N.V. Nekotorye problemy sozdaniya shagayushchikh mashin [Some problems of creating walking machines], Vestnik AN SSSR [Bulletin of the Academy of Sci-ences of the USSR], 1969, No. 2, pp. 44.
2. Okhotsimskiy D.E., Golubev Yu.F. Mekhanika i upravlenie dvizheniem avtomaticheskogo shagayushchego apparata [Mechanics and motion control of an automatic walking device]. Moscow: Nauka. Fizmatlit, 1984, 312 p.
3. Briskin E.S., Chernyshev V.V., Maloletov A.V. i dr. Sravnitel'nyy analiz kolesnykh, gusenichnykh i shagayushchikh mashin [Comparative analysis of wheeled, tracked and walk-ing machines], Robototekhnika i tekhnicheskaya kibernetika [Robotics and technical Cybernet-ics], 2013, Vol. 1, No. 1, pp. 6-14.
4. Pavlovskiy V.E. O razrabotkakh shagayushchikh mashin [On the development of walking ma-chines], Preprint IPM im. M.V. Keldysha [Keldysh Institute Preprints], 2013, No. 101, pp. 1-32.
5. Golubev Yu.F., Koryanov V.V. Postroenie dvizheniy insektomorfnogo robota, preodolevayushchego kombinatsiyu prepyatstviy s pomoshch'yu sil kulonovskogo treniya [The construction of movements insectborne robot that overcomes a combination of obstacles with the help of the forces of coulomb friction], Izvestiya RAN. Teoriya i sistemy upravleniya [Izvestiya RAS. Theory and control systems], 2005, No. 3, pp. 143-155.
6. Golubev Yu.F., Korianov V.V., Pavlovsky V.E., Panchenko A.V. Maneuvering SixLegged Ro-bot: Model and Prototype, Tr. III-go rossiysko-tayvan'skogo Simpoziuma "Sovremennye problemy intellektual'noy mekhatroniki, mekhaniki i upravleniya". 7-11. 11. 2012, MGU [Pro-ceedings of the III Russian-Taiwanese Symposium "Modern problems of intellectual mecha-tronics, mechanics and control". 7-11. 11. 2012, Moscow state University], ed. by Yu.M. Okuneva. Moscow: Izd-vo MGU, 2012. CD, pp. 69-81.
7. Golubev Yu.F., Korianov V.V., Pavlovsky V.E., Panchenko A.V. Motion control for the 6-legged robot in extreme conditions, Proc. of the 16th Int. Conf. CLAWAR-2013. 14-17 July 2013, Sydney, Australia, pp. 427-434. 8. Nonami K. et al. Hydraulically Actuated Hexapod Robots: Design, Implementation and Con-trol, Intelligent Systems, Control and Automation: Science and Engineering 66, Springer Japan 2014, 277 p.
9. RHex – Devours Rough Terrain. Available at: http://www.bostondynamics.com/ ro-bot_rhex.html. 10. Walking Tractor Timberjack by John Deere. Available at: http://www.theoldrobots.com/ Walking-Robot2.html. 11. SIL06 – шестиногий робот-миноискатель. Available at: http://www.dailytechinfo.org/ mili-tary/589-sil06-shestinogij-robot-minoiskatel.html. 12. I.C. Hexapod. Available at: http://www.micromagicsystems.com/#/ic-hexapod/4525033632.
13. Robot-nasekomoe po imeni Hector delaet svoi pervye shagi [A robot insect named Hector takes its first steps]. Available at: http://www.dailytechinfo.org/robots/6573-robot-nasekomoe-po-imeni-hector-delaet-svoi-pervye-shagi.html. 14. CHEETAH – Fastest Legged Robot. Available at: http://www.bostondynamics.com/robot_ cheetah.html. 15. BigDog – The Most Advanced Rough-Terrain Robot on Earth. Available at: http://www.bostondynamics.com/robot_bigdog.html. 16. RiSE: The Amazing Climbing Robot. Available at: http://www.bostondynamics.com/ ro-bot_rise.html. 17. Meet Prospero: Robo-Farmer on Six Legs. Available at: http://news.discovery.com/ tech/robotics/swarm-bots-111221.htm. 18. HexCrawler Robot. Available at: http://www.robotbooks.com/hexcrawler.htm.
19. Nakano E. Vvedenie v robototekhniku [Introduction to robotics]. Moscow: Mir, 1988, 334 p.
20. Briskin E.S., Sobolev V.M. Tyagovaya dinamika shagayushchikh mashin s ortogonal'nymi dvizheniyami [Traction dynamics of walking machines with orthogonal movements], Problemy mashinostroeniya i nadezhnosti mashin [Problems of mechanical engineering and machine reliability], 1990, No. 3, pp. 28-34.
21. Zhoga V.V. Sistema pokazateley kachestva shagayushchikh transportnykh mashin [System of quality indicators for walking transport vehicles], Spravochnik. Inzhenernyy zhurnal s prilozheniem [Guide. Engineering magazine with app], 1997, No. 5, pp. 52-54.
22. Maloletov A.V., Briskin E.S. Optimizatsiya struktury, parametrov i rezhimov dvizheniya shagayushchikh mashin so sdvoennymi dvizhitelyami: monografiya [Optimization of the structure, parameters and modes of movement of walking machines with twin engines: mono-graph]. Volgograd: VolgGTU, 2015, 174 p.
23. Sobol' I.M., Statnikov R.B. Vybor optimal'nykh parametrov v zadachakh so mnogimi kriteriyami: ucheb. posobie dlya vuzov [Choosing optimal parameters for problems with many criteria: a textbook for universities]. Moscow: Drofa, 2006.
24. Briskin E.S. Ob upravlenii pokhodkoy shagayushchey mashiny «Vos'minog» [On managing the gait of the walking machine "Octopus"], Mekhanika. Avtomatizatsiya. Upravlenie [Me-chanics. Automation. Management], 2008, No. 5, pp. 6-10.
25. Briskin E.S., Kalinin Ya.V. Ob energeticheski effektivnykh algoritmakh dvizheniya shagayushchikh mashin s tsiklovymi dvizhitelyami [On energy-efficient algorithms for the movement of walking machines with cyclic engines], Izvestiya RAN. Teoriya i sistemy upravleniya [Izvestiya RAS. Theory and control systems], 2011, No. 2, pp. 170-176.
26. Beletskiy V.V. Dinamika dvunogoy khod'by [Dynamics of two-legged walking], Izvestiya AN SSSR. MTT [Proceedings of the Russian Academy of Sciences. Solid mechanics], 1975, No. 3, pp. 3-13.
27. Briskin E.S., Kalinin Ya.V., Maloletov A.V. i dr. Ob upravlenii adaptatsiey ortogonal'nykh shagayushchikh dvizhiteley k opornoy poverkhnosti [On managing the adaptation of orthogo-nal walking thrusters to the reference surface], Izvestiya RAN. Teoriya i sistemy upravleniya [Izvestiya RAS. Theory and control systems], 2017, No. 3, pp. 184-190.
28. Briskin E.S., Smirnaya L.D. Ob otryve stopy shagayushchego dvizhitelya mobil'nogo podvodnogo robota ot grunta [On the separation of the foot of the walking mover of a mobile underwater robot from the ground], Robototekhnika i tekhnicheskaya kibernetika [Robotics and technical Cybernetics], 2019, Vol. 7, No. 3, pp. 215-223.
29. Chernyshev V.V., Arykantsev V.V. Struktura energozatrat shagayushchikh mashin i robotov pri realizatsii bol'shikh tyagovykh usiliy [Structure of energy consumption of walking machines and robots when implementing large traction forces], Izvestiya YuFU. Tekhnicheskie nauki [.Izvestiya SFedU. Engineering Sciences], 2019, No. 1 (203), pp. 6-18.
30. El'sgol'ts L.E. Variatsionnoe ischislenie [Calculus of variations]. Moscow: URSS, 2019, 208 p.
Published
2020-05-02
Section
SECTION II. CONTROL IN ROBOTIC SYSTEMS AND MECHATRONIC COMPLEXES