Motion Planning and Control of Autonomous Robots in a Two-dimensional Plane
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Motion Planning and Control of Autonomous Robots in a Two-dimensional Plane

Authors: Avinesh Prasad, Bibhya Sharma, Jito Vanualailai

Abstract:

This paper proposes a solution to the motion planning and control problem of a point-mass robot which is required to move safely to a designated target in a priori known workspace cluttered with fixed elliptical obstacles of arbitrary position and sizes. A tailored and unique algorithm for target convergence and obstacle avoidance is proposed that will work for any number of fixed obstacles. The control laws proposed in this paper also ensures that the equilibrium point of the given system is asymptotically stable. Computer simulations with the proposed technique and applications to a planar (RP) manipulator will be presented.

Keywords: Point-mass Robot, Asymptotic stability, Motionplanning, Planar Robot Arm.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081269

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References:


[1] D. Janglova, "Neural networks in mobile robot motion," International Journal of Advanced Robotic Systems, vol. 1, no. 1, pp. 15-22, 2004.
[2] P.O. Moreno, S.I. Ruiz, and J.C, "Valenzuela. Simulation and animation of a 2 degree of freedom planar robot arm based on neural networks," in Proc. Electronics, Robotics and Automotive Mechanics Conference, IEEE Computer Society, Washington, DC, USA, September 2007, pp. 488-493.
[3] S.X. Yang and M. Meng, "An efficient neural network approach to dynamic robot motion planning," Neural Networks, vol. 13, no. 2, pp. 143-148, 2000.
[4] D.T. Pham and Y. Sahin, "Design of a neural internal model control system for a robot," Robotica, vol. 18, no.5, pp. 505-512, 2000.
[5] A. D Chohra, F. Sif, and S. Talaoubrid, "Neural navigation approach of an autonomous mobile robot in a partially structured environment," in Proc. IAV-95, Finland, June 1995, pp. 238-243.
[6] B. Sharma, A. Prasad, and J. Vanualailai, "A collision-free algorithm of a point-mass robot using neural networks," Journal of Artificial Intelligence, vol. 3, no. 1, pp. 49-55, 2012.
[7] J. Vanualailai, S. Nakagiri, and J. Ha, "A solution to two dimension findpath problem," Dynamics and Stability of Systems, vol. 13, pp. 373- 401, 1998.
[8] B. Sharma, New Directions in the Applications of the Lyapunov-based Control Scheme to the Findpath Problem. PhD thesis, University of the South Pacific, Suva, Fiji Islands, July 2008. PhD Dissertation.
[9] E. Rimon, "Exact robot navigation using artificial potential functions," IEEE Transactions on Robotics and Automation, vol. 8, no. 5, pp. 501- 517, 1992.
[10] H. G. Tanner, S. Loizou, and K. J, "Kyriakopoulos. Nonholonomic navigation and control of cooperating mobile manipulators," IEEE Transactions on Robotics and Automation, vol. 19, no. 3, pp. 53-64, 2003.
[11] R. C. Arkin, "Motor schema-based mobile robot navigation," International Journal of Robotics Research, vol. 8, no. 4, pp. 92-112, 1989.
[12] M. D. Adams, H. Hu, and P. J. Probert, "Towards a real time architecture for obstacle avoidance and path planning in mobile robots," in Proc. IEEE International Conference on Robotics and Automation, vol. 4, 1990.
[13] P. Khosla and R. Volpe, "Superquadric artificial potential for obstacle avoidance and approach," in Proc. IEEE International Conference on Robotics and Automation, 1988, pp. 1778-1784.
[14] J. Vanualailai, J-H. Ha, and B. Sharma, "An asymptotically stable collision-avoidance system," International Journal of Non-Linear Mechanics, vol. 43, no. 9, pp. 925-932, 2008.
[15] B. Sharma, J. Vanualailai, and U. Chand, "Flocking of multiagents in constrained environments," European Journal of Pure and Applied Mathematics, vol. 2, no. 3, pp. 401-425, 2009.
[16] B. Sharma, J. Vanualailai, and A. Prasad, "Formation control of a swarm of mobile manipulators," Rocky Mountain Journal of Mathematics, vol. 41, no. 3, pp. 900-940, 2011.