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

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.




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.