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Technical Brief

Tip-Over Stability Analysis for a Wheeled Mobile Manipulator

[+] Author and Article Information
Shuai Guo

Key Laboratory of Intelligent Manufacturing and Robotics,
School of Mechatronics Engineering
and Automation of Shanghai University,
HC204, No. 99, Road Shangda,
Shanghai 200444, China
e-mail: guoshuai@shu.edu.cn

Tao Song

Key Laboratory of Intelligent Manufacturing and Robotics,
School of Mechatronics Engineering
and Automation of Shanghai University,
HC204, No. 99, Road Shangda,
Shanghai 200444, China
e-mail: songtao43467226@shu.edu.cn

Fengfeng (Jeff) Xi

Department of Aerospace Engineering,
Ryerson University,
350 Victoria Street,
Toronto, ON M5B 2K3, Canada
e-mail: fengxi@ryerson.ca

Richard Phillip Mohamed

Department of Aerospace Engineering,
Ryerson University,
350 Victoria Street,
Toronto, ON M5B 2K3, Canada
e-mail: r3mohame@ryerson.ca

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received September 11, 2015; final manuscript received November 7, 2016; published online March 10, 2017. Assoc. Editor: Jingang Yi.

J. Dyn. Sys., Meas., Control 139(5), 054501 (Mar 10, 2017) (7 pages) Paper No: DS-15-1438; doi: 10.1115/1.4035234 History: Received September 11, 2015; Revised November 07, 2016

A method is presented for tip-over stability analysis of a wheeled mobile manipulator. A wheeled mobile manipulator may tip over resulting from its operation. In this study, first a Newton–Euler formulation is applied to formulate the manipulator’s reaction forces and moments exerted onto the mobile platform. Tip-over criterion is derived to judge the system stability. Three load and motion analyses are carried on. The first static load deals with links and payload to show the effect of the horizontal position of the system’s center of gravity (CG). The second and third are the inertial forces resulting from joint speeds and accelerations, respectively. Case study is path planning with tip-over criterion result which can make the system stable along the path. The simulation results demonstrate the effectiveness of the proposed method.

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References

Liu, Y. , and Liu, G. , 2010, “ Interaction Analysis and Online Tip-Over Avoidance for a Reconfigurable Tracked Mobile Modular Manipulator Negotiating Slopes,” IEEE/ASME Trans. Mechatronics, 15(4), pp. 623–635. [CrossRef]
Korayem, M. H. , Shafei, A. M. , and Shafei, H. R. , 2012, “ Dynamic Modeling of Nonholonomic Wheeled Mobile Manipulators With Elastic Joints Using Recursive Gibbs–Appell Formulation,” Sci. Iran., 19(4), pp. 1092–1104. [CrossRef]
Chen, M. W. , and Zalzala, A. M. S. , 1997, “ Dynamic Modeling and Genetic-Based Trajectory Generation for Non-Holonomic Mobile Manipulators,” Control Eng. Pract., 5(1), pp. 39–48. [CrossRef]
Vysin, M. , and Knoflicek, R. , 2003, “ The Hybrid Mobile Robot,” 2003 IEEE International Conference on Industrial Technology, pp. 262–264.
Korayem, M. H. , Shafei, A. M. , and Seidi, E. , 2014, “ Symbolic Derivation of Governing Equations for Dual-Arm Mobile Manipulators Used in Fruit-Picking and the Pruning of Tall Trees,” Comput. Electron. Agric., 105, pp. 95–102. [CrossRef]
Tsai, C. C. , Cheng, M. B. , and Lin, S. C. , 2006, “ Dynamic Modeling and Tracking Control of a Nonholonomic Wheeled Mobile Manipulator With Dual Arms,” J. Intell. Rob. Syst., 47(4), pp. 317–340. [CrossRef]
Tang, C. P. , Miller, P. T. , Krovi, V. N. , Ryu, J.-C. , and Agrawal, S. K. , 2011, “ Differential-Flatness-Based Planning and Control of a Wheeled Mobile Manipulator-Theory and Experiment,” IEEE/ASME Trans. Mechatronics, 16(4), pp. 768–773. [CrossRef]
Chitta, S. , Cohen, B. , and Likhachev, M. , 2010, “ Planning for Autonomous Door Opening With a Mobile Manipulator,” IEEE International Conference on Robotics and Automation, pp. 1799–1806.
Jiao, J. , Cao, Z. , Zhao, P. , Liu, X. , and Tan, M. , 2013, “ Bezier Curve Based Path Planning for a Mobile Manipulator in Unknown Environments,” IEEE International Conference on Robotics and Biomimetics, Qingdao, China, Dec. 12–14, pp. 1864–1868.
Li, Y. , and Liu, Y. , 2005, “ Kinematics and Tip-Over Stability Analysis for the Mobile Modular Manipulator,” Proc. Inst. Mech. Eng., Part C, 219(3), pp. 331–343. [CrossRef]
Papadopoulos, E. G. , and Rey, D. A. , 1996, “ A New Measure of Tipover Stability Margin for Mobile Manipulators,” IEEE International Conference on Robotics and Automation, pp. 3111–3116.
Ghasempoor, A. , and Sepehri, N. , 1995, “ A Measure of Machine Stability for Moving Base Manipulators,” IEEE International Conference on Robotics and Automation, pp. 2249–2254.
Rey, D. A. , and Papadopoulos, E. G. , 1997, “ On-Line Automatic Tipover Prevention for Mobile Manipulators,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 1273–1278.
Moosavian, S. A. A. , and Alipour, K. , 2006, “ Moment-Height Tip-Over Measure for Stability Analysis of Mobile Robotic Systems,” IEEE International Conference on Intelligent Robots and Systems, pp. 5546–5551.
Ali, S. , Moosavian, A. , and Alipour, K. , 2007, “ Tip-Over Stability of Suspended Wheeled Mobile Robots,” IEEE International Conference on Mechatronics and Automation, pp. 1356–1361.
Liu, Y. , and Liu, G. , 2009, “ Track—Stair Interaction Analysis and Online Tipover Prediction for a Self-Reconfigurable Tracked Mobile Robot Climbing Stairs,” IEEE/ASME Trans. Mechatronics, 14(5), pp. 528–538. [CrossRef]
Sugano, S. , Huang, Q. , and Kato, I. , 1993, “ Stability Criteria in Controlling Mobile Robotic Systems,” IEEE/RSJ International Conference on Intelligent Robots and Systems, Vol. 2, pp. 832–838.
Korayem, M. H. , Azimirad, V. , Nikoobin, A. , and Boroujeni, Z. , 2010, “ Maximum Load-Carrying Capacity of Autonomous Mobile Manipulator in an Environment With Obstacle Considering Tip Over Stability,” Int. J. Adv. Manuf. Technol., 46(5–8), pp. 811–829. [CrossRef]
Moubarak, P. , and Ben-Tzvi, P. , 2013, “ A Globally Converging Algorithm for Adaptive Manipulation and Trajectory Following for Mobile Robots With Serial Redundant Arms,” Robotica, 31(08), pp. 1299–1311. [CrossRef]
Xi, F. F. , 2009, “ Computational Dynamics,” Graduate Course Lecture Notes, Ryerson University, Toronto, ON, Canada.
Bianco, G. L. , 2009, “ Evaluation of Generalized Force Derivatives by Means of a Recursive Newton–Euler Approach,” IEEE Trans. Rob., 25(4), pp. 954–959. [CrossRef]
Song, T. , Xi, F. , Guo, S. , and Lin, Y. , 2016, “ Optimization of a Mobile Platform for a Wheeled Manipulator,” ASME J. Mech. Rob., 8(6), p. 061007. [CrossRef]

Figures

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Fig. 2

Forces and moments on a mobile platform

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Fig. 3

Four-wheel mobile platform

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Fig. 1

The wheeled mobile manipulator for fuselage riveting

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Fig. 7

TOM over workspace for joint acceleration case: (a) joint accelerations [200, 200, 200] deg/s2 and (b) joint accelerations [200, −200, −200] deg/s2

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Fig. 9

The points and path for aircraft riveting

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Fig. 10

TOM results for time segment fixed case

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Fig. 11

TOM results for alterable time segment case

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Fig. 8

Forces and moments derived from joint acceleration: (a) joint 1 acceleration, (b) joint 2 acceleration, (c) joint 3 acceleration, and (d) all three joint accelerations

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Fig. 4

(a) TOM results over workspace for static case and (b) TOM results in terms of system CG

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Fig. 5

TOM over workspace for joint speed case: (a) joint speeds [175, 175, 175] deg/s and (b) joint speeds [175, 175, −175] deg/s

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Fig. 6

Centrifugal forces and gyroscopic moments derived from joint speed cases: (a) joint 1 rotation, (b) joint 2 rotation, (c) joint 3 rotation, and (d) all three joint rotations

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