Research Papers

Examining the Robustness of Grasping Force Optimization Methods Using Uncertainty Analysis

[+] Author and Article Information
Aimee Cloutier

Department of Mechanical Engineering,
Rose-Hulman Institute of Technology,
5500 Wabash Avenue,
Terre Haute, IN 47803
e-mail: cloutier@rose-hulman.edu

James Yang

Department of Mechanical Engineering,
Human-Centric Design Research Lab,
Texas Tech University,
Lubbock, TX 79409
e-mail: james.yang@ttu.edu

1Corresponding author.

Manuscript received June 17, 2017; final manuscript received February 19, 2018; published online April 30, 2018. Assoc. Editor: Faisal Khan.

ASME J. Risk Uncertainty Part B 4(4), 041007 (Apr 30, 2018) (8 pages) Paper No: RISK-17-1071; doi: 10.1115/1.4039467 History: Received June 17, 2017; Revised February 19, 2018

The development of robust and adaptable methods of grasping force optimization (GFO) is an important consideration for robotic devices, especially those which are designed to interact naturally with a variety of objects. Along with considerations for the computational efficiency of such methods, it is also important to ensure that a GFO approach chooses forces which can produce a stable grasp even in the presence of uncertainty. This paper examines the robustness of three methods of GFO in the presence of variability in the contact locations and in the coefficients of friction between the hand and the object. A Monte Carlo simulation is used to determine the resulting probability of failure and sensitivity levels when variability is introduced. Two numerical examples representing two common grasps performed by the human hand are used to demonstrate the performance of the optimization methods. Additionally, the method which yields the best overall performance is also tested to determine its consistency when force is applied to the object's center of mass in different directions. The results show that both the nonlinear and linear matrix inequality (LMIs) methods of GFO produce acceptable results, whereas the linear method produces unacceptably high probabilities of failure. Further, the nonlinear method continues to produce acceptable results even when the direction of the applied force is changed. Based on these results, the nonlinear method of GFO is considered to be robust in the presence of variability in the contact locations and coefficients of friction.

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Cloutier, A. , and Yang, J. , 2016, “Force Optimization Approaches for Common Anthropomorphic Grasps,” ASME Paper No. DETC2016-60346.
Kumar, V. , and Waldron, K. , 1988, “Force Distribution in Closed Kinematic Chains,” IEEE J. Rob. Autom., 4(6), pp. 657–664. [CrossRef]
Boyd, S. P. , and Wegbreit, B. , 2007, “Fast Computation of Optimal Contact Forces,” IEEE Trans. Rob., 23(6), pp. 1117–1132. [CrossRef]
Cheng, F. T. , and Orin, D. E. , 1991, “Efficient Formulation of the Force Distribution Equations for Simple Closed-Chain Robotic Mechanisms,” IEEE Trans. Syst., Man, Cybern., 21(1), pp. 25–32. [CrossRef]
Zheng, Y. , Chew, C. M. , and Adiwahono, A. H. , 2011, “A GJK-Based Approach to Contact Force Feasibility and Distribution for Multi-Contact Robots,” Rob. Auton. Syst., 59(3–4), pp. 194–207. [CrossRef]
Zuo, B. R. , and Qian, W. H. , 2000, “A General Dynamic Force Distribution Algorithm for Multifingered Grasping,” IEEE Trans. Syst., Man, Cybern. Part B: Cybern., 30(1), pp. 185–192. [CrossRef]
Kerr, J. , and Roth, B. , 1986, “Analysis of Multifingered Hands,” Int. J. Rob. Res., 4(4), pp. 3–17. [CrossRef]
Buss, M. , Hashimoto, H. , and Moore, J. B. , 1996, “Dexterous Hand Grasping Force Optimization,” IEEE Trans. Rob. Autom., 12(3), pp. 406–418. [CrossRef]
Han, L. , Trinkle, J. C. , and Li, Z. X. , 2000, “Grasp Analysis as Linear Matrix Inequality Problems,” IEEE Trans. Rob. Autom., 16(6), pp. 663–674. [CrossRef]
Borgstrom, P. H. , Batalin, M. A. , Sukhatme, G. S. , and Kaiser, W. J. , 2010, “Weighted Barrier Functions for Computation of Force Distributions With Friction Cone Constraints,” IEEE International Conference on Robotics and Automation (ICRA), Anchorage, AK, May 3–7, pp. 785–792.
Helmke, U. , Huper, K. , and Moore, J. B. , 2002, “Quadratically Convergent Algorithms for Optimal Dexterous Hand Grasping,” IEEE Trans. Rob. Autom., 18(2), pp. 138–146. [CrossRef]
Liu, G. , and Li, Z. , 2004, “Real-Time Grasping Force Optimization for Multifingered Manipulation: Theory and Experiments,” IEEE/ASME Trans. Mechatronics, 9(1), pp. 65–77. [CrossRef]
Saut, J. P. , Remond, C. , and Perdereau, V. , 2005, “Online Computation of Grasping Force in Multi-Fingered Hands,” IEEE/RSJ International Conference on Intelligent Robots and Systems, Edmonton, AB, Canada, Aug. 2–6, pp. 1223–1228.
Lippiello, V. , Siciliano, B. , and Villani, L. , 2013, “A Grasping Force Optimization Algorithm for Multiarm Robots With Multifingered Hands,” IEEE Trans. Rob., 29(1), pp. 55–67. [CrossRef]
Gabiccini, M. , Bicchi, A. , Prattichizzo, D. , and Malvezzi, M. , 2011, “On the Role of Hand Synergies in the Optimal Choice of Grasping Forces,” Auton. Rob., 31(2–3), p. 235. [CrossRef]
Park, Y. C. , and Starr, G. P. , 1990, “Optimal Grasping Using a Multifingered Robot Hand,” IEEE International Conference on Robotics and Automation (ICRA), Cincinnati, OH, May 13–18, pp. 689–694.
Nakamura, Y. , Nagai, Y. , and Yoshikawa, T. , 1989, “Dynamics and Stability in Coordination of Multiple Robotic Mechanisms,” Int. J. Rob. Res., 8(2), pp. 44–61. [CrossRef]
Das, P. , and Zhang, W. , 2003, “Guidance on Structural Reliability Analysis of Marine Structures,” Department of Naval Architecture and Marine Engineering, University of Glasgow, Glasgow, UK, pp. 22–51.
Wu, Y. T. , 1994, “Computational Methods for Efficient Structural Reliability and Reliability Sensitivity Analysis,” Am. Inst. Aeronaut. Astronaut. J., 32(8), pp. 1717–1723. [CrossRef]
Denavit, J. , and Hartenberg, R. S. , 1955, “A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices,” ASME J. Appl. Mech., 23, pp. 215–221.
Chandra, A. , Chandra, P. , and Deswal, S. , 2011, “Analysis of Hand Anthropometric Dimensions of Male Industrial Workers of Haryana State,” Int. J. Eng., 5(3), pp. 242–256.
Pena-Pitarch, E. , Yang, J. , and Abdel-Malek, K. , 2005, “SANTOS™ Hand: A 25 Degree-of-Freedom Model,” SAE Paper No. 2005-01-2727.
Dalley, S. A. , Wiste, T. E. , Varol, H. A. , and Goldfarb, M. , 2010, “A Multigrasp Hand Prosthesis for Transradial Amputees,” Annual International Conference of the IEEE Engineering Medical Biology Society (EMBC), Buenos Aires, Argentina, Aug. 31–Sept. 4, pp. 5062–5065.
Tomlinson, S. E. , Lewis, R. , and Carre, M. J. , 2007, “Review of the Frictional Properties of Finger-Object Contact When Gripping,” J. Eng. Tribol., 221(8), pp. 841–850.


Grahic Jump Location
Fig. 1

Visual representation of grasping problem

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Fig. 2

Generic view of the hand

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Fig. 3

Types of grasp: (a) tip grasp and (b) tripod grasp

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Fig. 4

Sensitivity levels for tip grasp (LMI method and HF contact)

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Fig. 5

Sensitivity levels for tip grasp (LMI method and SF contact)

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Fig. 6

Sensitivity levels for tip grasp (nonlinear method and HF contact)

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Fig. 7

Sensitivity levels for tip grasp (nonlinear method and SF contact)

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Fig. 8

Sensitivity levels for tip grasp (linear method and HF contact)

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Fig. 9

Sensitivity levels for tripod grasp (linear method and HF contact)

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Fig. 10

Sensitivity levels for tip grasp, nonlinear method (three cases, HF contact)

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Fig. 11

Sensitivity levels for tip grasp, nonlinear method (three cases, SF contact)



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