Coordinated Motion Planning for a Mobile Manipulator considering Stability and Manipulation

For a mobile manipulator to be used in areas such as offices and houses, it is desirable that the mobile platform be small sized. In the case of a small-sized platform, the mobile manipulator may tip over when moving at high speed or executing tasks in the presence of disturbances. Therefore, it is necessary to simultaneously consider both stabilization and manipulation while coordinating vehicle motion and manipulator motion. In this paper, we first present the concept of the valid stable region to evaluate stability in the presence of disturbances. Next, we propose a method for coordinating vehicle motion planning including manipulator configuration, and manipulator motion planning including platform stability. Then, the optimal problem of vehicle motion is formulated, taking into account vehicle dynamics, manipulator workspace, and system stability. Also, the manipulator motion is derived, considering stability compensation and manipulator configuration. Finally, the effectiveness of the proposed method is demonstrated by simulation examples.

[1]  Qiang Huang,et al.  Stability compensation of a mobile manipulator by manipulatorPaper motion: feasibility and planning , 1998, Adv. Robotics.

[2]  Xiaoping Yun,et al.  Coordinating locomotion and manipulation of a mobile manipulator , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[3]  Kazuhito Yokoi,et al.  Position control of collision-tolerant passive mobile manipulator with base suspension characteristics , 1997, Proceedings of International Conference on Robotics and Automation.

[4]  Alain Liégeois,et al.  Generalized polar polynomials for vehicle path generation with dynamic constraints , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[5]  Steven Dubowsky,et al.  Large motion control of mobile manipulators including vehicle suspension characteristics , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[6]  D. Arnold,et al.  Computer Solution of Ordinary Differential Equations. , 1981 .

[7]  Ahmad Ghasempoor,et al.  A measure of machine stability for moving base manipulators , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[8]  Oussama Khatib,et al.  Decentralized cooperation between multiple manipulators , 1996, Proceedings 5th IEEE International Workshop on Robot and Human Communication. RO-MAN'96 TSUKUBA.

[9]  Tsuneo Yoshikawa,et al.  Manipulability of Robotic Mechanisms , 1985 .

[10]  Michel Taïx,et al.  Efficient motion planners for nonholonomic mobile robots , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[11]  L. Dubins On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents , 1957 .

[12]  Homayoun Seraji,et al.  A Unified Approach to Motion Control of Mobile Manipulators , 1998, Int. J. Robotics Res..

[13]  M. Vukobratovic,et al.  Contribution to the Synthesis of Biped Gait , 1968 .

[14]  E. Polak Introduction to linear and nonlinear programming , 1973 .

[15]  Charles A. Klein,et al.  Automatic body regulation for maintaining stability of a legged vehicle during rough-terrain locomotion , 1985, IEEE J. Robotics Autom..

[16]  Bruce H. Krogh,et al.  Path planning for mobile manipulators for multiple task execution , 1991, IEEE Trans. Robotics Autom..

[17]  Steven Dubowsky,et al.  Planning mobile manipulator motions considering vehicle dynamic stability constraints , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[18]  Winston Nelson,et al.  Continuous-curvature paths for autonomous vehicles , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[19]  Tatsuo Arai,et al.  Hexapod with integrated limb mechanism of leg and arm , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[20]  S. Marin An Approach to Data Parametrization in Parametric Cubic Spline Interpolation Problems , 1984 .

[21]  Shigeo Hirose,et al.  Tumble stability criterion of integrated locomotion and manipulation , 1996, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems. IROS '96.

[22]  Kazuhiro Kosuge,et al.  Manipulator/vehicle system for man-robot cooperation , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[23]  Yutaka Kanayama,et al.  Trajectory generation for mobile robots , 1984 .

[24]  Homayoun Seraji Task-based configuration control of redundant manipulators , 1992, J. Field Robotics.

[25]  Atsuo Takanishi,et al.  Realization of Dynamic Biped Walking Stabilized with Trunk Motion Under Known External Force , 1989 .