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Optimal Control of Multibody Systems in Resistive Media

  • F. L. Chernousko
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7116)

Abstract

Locomotion of a mechanical system consisting of a main body and one or two links attached to it by cylindrical joints is considered. The system moves in a resistive medium and is controlled by periodic angular oscillations of the links relative to the main body. The resistance force acting upon each body is a quadratic function of its velocity. Under certain assumptions, a nonlinear equation of motion is derived and simplified. The optimal control of oscillations is found that corresponds to the maximal average locomotion speed.

Keywords

optimal control nonlinear dynamics robotics locomotion 

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References

  1. 1.
    Gray, J.: Animal Locomotion. Norton, New York (1968)Google Scholar
  2. 2.
    Lighthill, J.: Mathematical Biofluiddynamics. SIAM, Philadelphia (1975)zbMATHCrossRefGoogle Scholar
  3. 3.
    Blake, R.W.: Fish Locomotion. Cambridge University Press, Cambridge (1983)Google Scholar
  4. 4.
    Hirose, S.: Biologically Inspired Robots: Snake-like Locomotors and Manipulators. Oxford University Press, Oxford (1993)Google Scholar
  5. 5.
    Chernousko, F.L.: Controllable motions of a two-link mechanism along a horizontal plane. J. Appl. Math. Mech. 65, 565–577 (2001)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Chernousko, F.L.: Snake-like locomotions of multilink mechanisms. J. Vibration Control 9, 237–256 (2003)MathSciNetGoogle Scholar
  7. 7.
    Chernousko, F.L.: Modelling of snake-like locomotion. J. Appl. Math. Comput. 164, 415–434 (2005)MathSciNetzbMATHCrossRefGoogle Scholar
  8. 8.
    Terada, Y., Yamamoto, I.: Development of oscillating fin propulsion system and its application to ships and artificial fish. Mitsubishi Heavy Industries Tech. Review 36, 84–88 (1999)Google Scholar
  9. 9.
    Mason, R., Burdick, J.: Construction and modelling of a carangiform robotic fish. In: Korcke, P., Trevelyan, J. (eds.) Experimental Robotics VI. LNCIS, vol. 250, pp. 235–242. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  10. 10.
    Colgate, J.E., Lynch, K.M.: Mechanics and control of swimming: a review. IEEE J. Oceanic Engng. 29, 660–673 (2004)CrossRefGoogle Scholar
  11. 11.
  12. 12.
    Chernousko, F.L.: Optimal motion of a two-body system in a resistive medium. Journal of Optimization Theory and Applications 147, 278–297 (2010)MathSciNetzbMATHCrossRefGoogle Scholar
  13. 13.
    Bogoliubov, N.N., Mitropolsky, Y.A.: Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach, New York (1961)Google Scholar
  14. 14.
    Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., Mishchenko, E.F.: The Mathematical Theory of Optimal Processes. Gordon and Breach, New York (1986)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • F. L. Chernousko
    • 1
  1. 1.Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

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