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Optimal Control of Multibody Systems in Resistive Media

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Large-Scale Scientific Computing (LSSC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7116))

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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.

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References

  1. Gray, J.: Animal Locomotion. Norton, New York (1968)

    Google Scholar 

  2. Lighthill, J.: Mathematical Biofluiddynamics. SIAM, Philadelphia (1975)

    Book  MATH  Google Scholar 

  3. Blake, R.W.: Fish Locomotion. Cambridge University Press, Cambridge (1983)

    Google Scholar 

  4. Hirose, S.: Biologically Inspired Robots: Snake-like Locomotors and Manipulators. Oxford University Press, Oxford (1993)

    Google Scholar 

  5. Chernousko, F.L.: Controllable motions of a two-link mechanism along a horizontal plane. J. Appl. Math. Mech. 65, 565–577 (2001)

    Article  MathSciNet  Google Scholar 

  6. Chernousko, F.L.: Snake-like locomotions of multilink mechanisms. J. Vibration Control 9, 237–256 (2003)

    MathSciNet  Google Scholar 

  7. Chernousko, F.L.: Modelling of snake-like locomotion. J. Appl. Math. Comput. 164, 415–434 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  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. 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)

    Chapter  Google Scholar 

  10. Colgate, J.E., Lynch, K.M.: Mechanics and control of swimming: a review. IEEE J. Oceanic Engng. 29, 660–673 (2004)

    Article  Google Scholar 

  11. http://en.wikipedia.org/wiki/RoboTuna#References

  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)

    Article  MathSciNet  MATH  Google Scholar 

  13. Bogoliubov, N.N., Mitropolsky, Y.A.: Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach, New York (1961)

    Google Scholar 

  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)

    MATH  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Chernousko, F.L. (2012). Optimal Control of Multibody Systems in Resistive Media. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_10

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  • DOI: https://doi.org/10.1007/978-3-642-29843-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29842-4

  • Online ISBN: 978-3-642-29843-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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