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Boundary Tracking Control for Autonomous Vehicles with Rigidly Mounted Range Sensors

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Abstract

In this paper, we present control laws for an autonomous vehicle with rigidly mounted range sensors to track a boundary curve. In particular, we consider a vehicle that has a group of rays close to one center ray that has an arbitrary fixed angle to the heading of the vehicle. To achieve robust tracking performance in noisy environments, we present sliding mode based controllers. Also, switching control laws are developed to avoid singularities in control laws. Rigorous proof and extensive simulation results verify the validity and robustness of our control laws.

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References

  1. Liu, Y., Ge, X.: Underwater laser sensor network: a new approach for broadband communication in the underwater. In: Proc. of the 5th WSEAS International Conference on Telecommunications and Informatics, pp. 421–425. Turkey (2006)

  2. Clark, J., Fierro, R.: Cooperative hybrid control of robotic sensors for perimeter detection and tracking. In: Proc. of American Control Conference, pp. 3500–3505. Portland, OR (2005)

  3. Hoy, M.: A method of boundary following by a wheeled mobile robot based on sampled range information. J. Intell. Robot. Syst. 72, 463–482 (2013)

    Article  Google Scholar 

  4. De, A., Koditschek, D.E.: Toward dynamical sensor management for reactive wall-following. In: Proc. of 2013 IEEE International Conference on Robotics and Automation (ICRA), pp. 2400–2406. Germany (2013)

  5. Egerstedt, M., Hu, X., Stotsky, A.: Control of mobile platforms using a virtual vehicle approach. IEEE Trans. Autom. Control 46, 1777–1782 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  6. Micaelli, A., Samson, C.: Trajectory tracking for unicycle-type and two-steering-wheels mobile robots, INRIA, Tech. Rep. (1993)

  7. Teimoori, H., Savkin, A.V.: Equiangular navigation and guidance of a wheeled mobile robot using range-only measurements. In: Proc. of 47th IEEE Conference on Decision and Control, pp. 1747–1751. Mexico (2008)

  8. Toibero, J.M., Carelli, R., Kuchen, B.: Stable switching contour-following controller for wheeled mobile robots. In: Proc. of the 2006 IEEE International Conference on Robotics and Automation, pp. 3724–3729. USA (2006)

  9. Matveev, A.S., Teimoori, H., Savkin, A.V.: A method for guidance and control of an autonomous vehicle in problems of border patrolling and obstacle avoidance. Automatica 47(3), 515–524 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Teimoori, H., Savkin, A.V.: A biologically inspired method for robot navigation in a cluttered environment. Robotica 28(5), 637–648 (2010)

    Article  Google Scholar 

  11. Zhang, F., Justh, E., Krishnaprasad, P.S.: Boundary following using gyroscopic control. In: Proc. of 43rd IEEE Conf. on Decision and Control, pp. 5204–5209. Atlantis, Paradise Island, Bahamas (2004)

  12. Samson, C.: Control of chained systems: application to path-following and time-varying point-stabilization of mobile robots. IEEE Trans. Autom. Control 40, 64–77 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  13. Frezza, R., Picci, G.: On line path following by recursive spline updating. In: Proc. of 34th IEEE Conf. on Decision and Control, New Orleans, pp. 4047–4052. LA, USA (1995)

  14. Li, K., Baillieul, J.: Data-raterequirements for nonlinear feedback control. In: Proc. of 6th IFAC Symp. Nonlinear Contr. Sys., pp. 1277–1282. Stuttgart, Germany (2004)

  15. Andersson, S.B., Park, J.: Tip steering for fast imaging in AFM. In: Proc. of American Control Conference, pp. 2469–2474. Portland, OR (2005)

  16. Guerrero-Gonzalez, A., Garcia-Cordova, F., Gilabert, J.: A biologically inspired neural network for navigation with obstacle avoidance in autonomous underwater and surface vehicles. In: Proc. of IEEE OCEANS, pp. 1–8. Spain (2011)

  17. Chen, J., Zhao, P., Liang, H., Mei, T.: Motion planning for autonomous vehicle based on radial basis function neural network in unstructured environment. Sensors 14(9), 17548–17566 (2014)

    Article  Google Scholar 

  18. Kim, J., Zhang, F., Egerstedt, M.: Curve tracking control for autonomous vehicles with rigidly mounted range sensors. J. Intell. Robot. Syst. 56, 177–197 (2009)

    Article  MATH  Google Scholar 

  19. Healey, A.J., Lienard, D.: Multi variable sliding mode control for auv steering and diving and steering of unmanned underwater vehicles. IEEE J. Ocean. Eng. 18(3), 327–339 (1993)

    Article  Google Scholar 

  20. Utkin, V.I.: Sliding mode control design principles and applications to electric drives. IEEE Trans. Ind. Electron. 40(1), 23–36 (1993)

    Article  Google Scholar 

  21. Chen, H., Zhang, J., Chen, B., Li, B.: Global practical stabilization for non-holonomic mobile robots with uncalibrated visual parameters by using a switching controller. IMA J. Math. Control. Inf. 30(4), 543–557 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  22. Chen, H., Wang, C., Liang, Z., Zhang, D., Zhang, H.: Robust practical stabilization of nonholonomic mobile robots based on visual servoing feedback with inputs saturation. Asian J. Control 16(3), 692–702 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  23. Chen, H., Zhang, B., Zhao, T., Wang, T., Li, K.: Finite-time tracking control for extended nonholonomic chained-form systems with parametric uncertainty and external disturbance. J. Vib. Control. 24(1), 100–109 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  24. Carmo, M.D.: Differential geometry of curves and surfaces. Prentice Hall, Englewood Cliffs (1976)

    MATH  Google Scholar 

  25. Calabi, E., Olver, P.J., Shakiban, C., Tannenbaum, A., Haker, S.: Differential and numerically invariant signature curves applied to object recognition. Int. J. Comput. Vis. 26, 107–135 (1998)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the Hongik University new faculty research support fund.

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  1. Hongik University, Sejong, South Korea

    Jonghoek Kim

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  1. Jonghoek Kim
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Correspondence to Jonghoek Kim.

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Kim, J. Boundary Tracking Control for Autonomous Vehicles with Rigidly Mounted Range Sensors. J Intell Robot Syst 95, 1041–1048 (2019). https://doi.org/10.1007/s10846-018-0923-4

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  • DOI: https://doi.org/10.1007/s10846-018-0923-4

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