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The theory of robot stability in dynamic environment revisited

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The problem of stability of a robot in a dynamic environment is solved. Sufficient stability conditions for a given programmed path of the robot are established. The effect of the dynamic environment is illustrated by three examples

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References

  1. B. P. Demidovich, Lectures on Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. I. G. Malkin, “Stability under constant perturbations,” Prikl. Mat. Mekh., 8, No. 3, 241–245 (1944).

    MathSciNet  MATH  Google Scholar 

  3. A. A. Martynyuk, V. Lakshmikantham, and S. Leela, Stability of Motion: Method of Integral Inequalities [in Russian], Naukova Dumka, Kyiv (1989).

    Google Scholar 

  4. A. De Luca and C. Manes, “Hybrid force/position control for robots in contact with dynamic environment,” in: Proc. 3rd IFAC Symposium on Robot Control SYROCO’91, Vienna (1991), pp. 377–382.

  5. V. B. Larin, “Control problems for wheeled robotic vehicles,” Int. Appl. Mech., 45, No. 4, 363–388 (2009).

    Article  ADS  Google Scholar 

  6. A. A. Martynyuk and A. N. Chernienko, “On the theory of motion stability of a robot interacting with a dynamic environment,” Eng. Simul., 17, 605–620 (2000).

    Google Scholar 

  7. A. A. Martynyuk and V. I. Slyn’ko, “On stability of motion with respect to two measures under uncertainty,” Int. Appl. Mech., 44, No. 1, 91–100 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  8. A. A. Martynyuk and V. I. Slyn’ko, “On stability of moving autonomous mechanical systems under uncertainty,” Int. Appl. Mech., 44, No. 2, 217–227 (2008).

    Article  ADS  Google Scholar 

  9. M. V. Shamolin, “Stability of a rigid body translating in a resisting medium,” Int. Appl. Mech., 45, No. 6, 680–692 (2009).

    Article  MathSciNet  ADS  Google Scholar 

  10. M. Vukobratoviĉ, “The role of environmental dynamics in the contact force control of manipulation robots,” J. Dynam. Syst. Measur. Contr., 119, No. 1, 86–89 (1996).

    Article  Google Scholar 

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Correspondence to A. A. Martynyuk.

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Translated from Prikladnaya Mekhanika, Vol. 46, No. 9, pp. 103–110, September 2010.

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Martynyuk, A.A., Khoroshun, A.S. & Chernienko, A.N. The theory of robot stability in dynamic environment revisited. Int Appl Mech 46, 1056–1061 (2011). https://doi.org/10.1007/s10778-011-0398-5

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  • DOI: https://doi.org/10.1007/s10778-011-0398-5

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