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Synthesis of a program trajectory for a wheeled vehicle to bypass side obstacles

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International Applied Mechanics Aims and scope

A method of practical synthesis of a program trajectory for a mobile robot moving along an L-shaped holding alley with a 90°-turn is developed. The geometric parameters of the possible maneuvers are given. Software is developed. Examples of the robot's moving along such alleys are considered

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References

  1. V. B. Larin, “Manipulator control problems,” Probl. Upravl. Inform., No. 6, 5–18 (1966).

  2. L. G. Lobas, “Mathematical model of coupled systems with rolling,” Prikl. Mekh., 20, No. 6, 80–87 (1984).

    Google Scholar 

  3. L. G. Lobas, Nonholonomic Models of Wheeled Vehicles [in Russian], Naukova Dumka, Kyiv (1986).

    MATH  Google Scholar 

  4. J. Almeida, F. Lobo Pereira, and J. Borges Sousa, “On the design of a hybrid feedback control system for a non-holonomic car-like vehicle,” in: Proc. 4th European Control Conf. (ECC97), Brussels, Belgium, July 1–4 (1997).

  5. C. Canudas de Wit and O. J. Sordalen, “Exponential stabilization of mobile robots with nonholonomic constraints,” IEEE Trans. Automat. Control, 37, No. 11, 1791–1797 (1992).

    Article  MATH  MathSciNet  Google Scholar 

  6. Fazal-ur-Rehman, “Steering of nonholonomic mobile robots by using differential geometric approach,” Appl. Comput. Math., No. 1, 131–141 (2002).

  7. V. B. Larin, “Control of wheeled robots,” Int. Appl. Mech., 41, No. 4, 441–448 (2005).

    Article  MathSciNet  Google Scholar 

  8. V. B. Larin, “Motion planning for a wheeled robot (kinematic approximation),” Int. Appl. Mech., 41, No. 2, 187–196 (2005).

    Article  Google Scholar 

  9. V. B. Larin, “On the inverse optimization problem for periodic systems,” Int. Appl. Mech., 41, No. 12, 1413–1417 (2005).

    Article  MathSciNet  Google Scholar 

  10. V. B. Larin, “On static output-feedback stabilization of a periodic system,” Int. Appl. Mech., 42, No. 3, 357–363 (2006).

    Article  Google Scholar 

  11. V. B. Larin, “Special cases in a control problem,” Int. Appl. Mech., 42, No. 2, 221–227 (2006).

    Article  MathSciNet  Google Scholar 

  12. V. B. Larin, “Stabilizing the motion of a system with nonholonomic constraints,” Int. Appl. Mech., 34, No. 7, 683–693 (1998).

    Article  MathSciNet  Google Scholar 

  13. V. B. Larin, E. Ya. Antonyuk, and V. M. Matiyasevich, “Modeling wheeled machines,” Int. Appl. Mech., 34, No. 1, 93–100 (1998).

    Article  MATH  Google Scholar 

  14. V. B. Larin and A. A. Tunik, “Dynamic output feedback compensation of external disturbances,” Int. Appl. Mech., 42, No. 5, 606–616 (2006).

    Article  MathSciNet  Google Scholar 

  15. V. B. Larin, “On the control problem for a compound wheeled vehicle,” Int. Appl. Mech., 43, No. 11, 1269–1275 (2007).

    Article  Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    E. Ya. Antonyuk & A. T. Zabuga

Authors
  1. E. Ya. Antonyuk
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  2. A. T. Zabuga
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 133–143, September 2008.

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Antonyuk, E.Y., Zabuga, A.T. Synthesis of a program trajectory for a wheeled vehicle to bypass side obstacles. Int Appl Mech 44, 1065–1073 (2008). https://doi.org/10.1007/s10778-009-0111-0

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  • DOI: https://doi.org/10.1007/s10778-009-0111-0

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