Autonomous Control of Multiple Mobile Manipulators
This paper considers the autonomous navigation
problem of multiple n-link nonholonomic mobile manipulators within
an obstacle-ridden environment. We present a set of nonlinear
acceleration controllers, derived from the Lyapunov-based control
scheme, which generates collision-free trajectories of the mobile
manipulators from initial configurations to final configurations in a
constrained environment cluttered with stationary solid objects of
different shapes and sizes. We demonstrate the efficiency of the
control scheme and the resulting acceleration controllers of the
mobile manipulators with results through computer simulations of an
interesting scenario.
[1] B. Sharma, J. Vanualailai, and A. Prasad. New Collision Avoidance
Scheme for Multi-agents: A Solution to the Blindman-s Problem.
Advances in Differential Equations and Control Processes, 3(2):141-
169, 2009.
[2] F. Arrichiello. Coordination Control of Multiple Mobile Robots. PhD
dissertation, Universita Degli Studi Di Cassino, Cassino, Italy,
November 2006. PhD Dissertation.
[3] M. Erdmann and T. Lozano-Perez. On Multiple Moving Objects. In
Proceedings of the IEEE International Conference on Robotics and
Automation, pp. 1419-1424, 1986.
[4] L. E. Parker. A Robot Navigation Algorithm for Moving Obstacles.
Master-s thesis, The University of Tennessee, Knoxville, 1988.
[5] K. Kant and S. W. Zucker. Toward Efficiency Trajectory Planning: The
Path-velocity Decomposition. The International Journal of Robotics
Research, 5(3):72-89, 1986.
[6] E. Klavins and D. E. Koditschek. Formalism for the Composition of
Concurrent Robot Behaviors. In Proceedings of the IEEE International
Conference on Robotics and Automation, pp. 3395-3402, San Francisco,
CA, 2000.
[7] R. Alami, S. Fleury, M. Herrb, F. Ingrand, and F. Robert. Multi-robot
Cooperation in the Martha Project. IEEE Robotics & Automation
Magazine, 5:36-47, 1998.
[8] B. P. Gerkey and M. J. Mataric. Auction Methods for Multi-robot
Coordination. In IEEE Transactions on Robotics and Automation,
volume 8, pp. 758-768, 2002.
[9] M. Egerstedt and C. F. Martin. Conflict Resolution for Autonomous
Vehicles: A Case Study in Hierarchical Control Design. International
Journal of Hybrid Systems, 2(3):221--234, 2002.
[10] D. Kostic, S. Adinandra, J. Caarls, and H. Nijmeijer. Collision-free
Motion Coordination of Unicycle Multi-agent Systems. In 2010
American Control Conference, America, 2010.
[11] B. Sharma, J. Vanualailai, and S. Singh. Lyapunov-based Nonlinear
Controllers for Obstacle Avoidance with a Planar n-link Doubly
Nonholonomic Manipulator. Robotics and Autonomous Systems, 2012.
http://dx.doi.org/10.1016/j.bbr.2011.03.031.
[12] S. Singh, B. Sharma, and J. Vanualailai. Autonomous Control of a
Mobile Manipulator, World Academy of Science, Engineering and
Technology, Issue 60, pp. 983-992, 2011.
[13] B. Sharma. New Directions in the Applications of the Lyapunov-based
Control Scheme to the Findpath Problem. PhD dissertation, The
University of the South Pacific, Fiji, 2008.
[1] B. Sharma, J. Vanualailai, and A. Prasad. New Collision Avoidance
Scheme for Multi-agents: A Solution to the Blindman-s Problem.
Advances in Differential Equations and Control Processes, 3(2):141-
169, 2009.
[2] F. Arrichiello. Coordination Control of Multiple Mobile Robots. PhD
dissertation, Universita Degli Studi Di Cassino, Cassino, Italy,
November 2006. PhD Dissertation.
[3] M. Erdmann and T. Lozano-Perez. On Multiple Moving Objects. In
Proceedings of the IEEE International Conference on Robotics and
Automation, pp. 1419-1424, 1986.
[4] L. E. Parker. A Robot Navigation Algorithm for Moving Obstacles.
Master-s thesis, The University of Tennessee, Knoxville, 1988.
[5] K. Kant and S. W. Zucker. Toward Efficiency Trajectory Planning: The
Path-velocity Decomposition. The International Journal of Robotics
Research, 5(3):72-89, 1986.
[6] E. Klavins and D. E. Koditschek. Formalism for the Composition of
Concurrent Robot Behaviors. In Proceedings of the IEEE International
Conference on Robotics and Automation, pp. 3395-3402, San Francisco,
CA, 2000.
[7] R. Alami, S. Fleury, M. Herrb, F. Ingrand, and F. Robert. Multi-robot
Cooperation in the Martha Project. IEEE Robotics & Automation
Magazine, 5:36-47, 1998.
[8] B. P. Gerkey and M. J. Mataric. Auction Methods for Multi-robot
Coordination. In IEEE Transactions on Robotics and Automation,
volume 8, pp. 758-768, 2002.
[9] M. Egerstedt and C. F. Martin. Conflict Resolution for Autonomous
Vehicles: A Case Study in Hierarchical Control Design. International
Journal of Hybrid Systems, 2(3):221--234, 2002.
[10] D. Kostic, S. Adinandra, J. Caarls, and H. Nijmeijer. Collision-free
Motion Coordination of Unicycle Multi-agent Systems. In 2010
American Control Conference, America, 2010.
[11] B. Sharma, J. Vanualailai, and S. Singh. Lyapunov-based Nonlinear
Controllers for Obstacle Avoidance with a Planar n-link Doubly
Nonholonomic Manipulator. Robotics and Autonomous Systems, 2012.
http://dx.doi.org/10.1016/j.bbr.2011.03.031.
[12] S. Singh, B. Sharma, and J. Vanualailai. Autonomous Control of a
Mobile Manipulator, World Academy of Science, Engineering and
Technology, Issue 60, pp. 983-992, 2011.
[13] B. Sharma. New Directions in the Applications of the Lyapunov-based
Control Scheme to the Findpath Problem. PhD dissertation, The
University of the South Pacific, Fiji, 2008.
@article{"International Journal of Information, Control and Computer Sciences:52496", author = "Shonal Singh and Bibhya Sharma and Jito Vanualailai and Avinesh Prasad", title = "Autonomous Control of Multiple Mobile Manipulators", abstract = "This paper considers the autonomous navigation
problem of multiple n-link nonholonomic mobile manipulators within
an obstacle-ridden environment. We present a set of nonlinear
acceleration controllers, derived from the Lyapunov-based control
scheme, which generates collision-free trajectories of the mobile
manipulators from initial configurations to final configurations in a
constrained environment cluttered with stationary solid objects of
different shapes and sizes. We demonstrate the efficiency of the
control scheme and the resulting acceleration controllers of the
mobile manipulators with results through computer simulations of an
interesting scenario.", keywords = "Artificial potential fields, kinodynamic constraints,
Lyapunov-based control scheme, Lyapunov stability, minimum
distance technique, nonholonomic manipulator.", volume = "6", number = "12", pages = "1612-10", }