In this paper, we study friction characteristics of a constrained planar single-link arm in applications, where control of the end-point interaction force is required. The objective is to improve performance of a force control system by developing an adequate friction model. It is shown that hub friction increases with the applied force with the end-point force exhibiting significant hysteresis behavior. A friction model is presented for capturing these phenomena and compared with the widely used LuGre friction model. Effectiveness of the proposed model for friction compensation is further examined on an experimental force control system testbed.
Issue Section:
Research Papers
References
1.
Armstrong-Hélouvry
, B.
, Dupont
, P.
, and Canudas De Wit
, C.
, 1994, “A Survey of Models, Analysis Tools and Compensation Methods for the Control Of Machines With Friction
,” Automatica
, 30
(7
), pp. 1083
–1138
.2.
Armstrong-Hélouvry
, B.
, Control of Machines With Friction
(Academic Publishers
, Kluwer
, 1991).3.
Feeny
B.
, Guran
, A.
, Hinrichs
, N.
, and Popp
, K.
, 1998, “A Historical Review on dry Friction and Stick-Slip Phenomena
,” Appl. Mech. Rev.
, 51
(5
), pp. 321
–341
.4.
Ni
, J.
, and Zhu
, Z.
, 2001, “Experimental Study of Tangential Micro Deflection of Interface of Machined Surfaces
,” ASME J. Manuf. Sci. Eng.
, 123
(2
), pp. 365
–367
.5.
Olsson
, H.
, Åström
, K. J.
, Canudas de Wit
, C.
, Gäfvert
, M.
, and Lischinsky
, P.
, 1998, “Friction Models and Friction Compensation
,” Eur. J. Control
, 4
(3
), pp. 176
–195
.6.
Karnopp
, D.
, 1985, “Computer Simulation of Slip-Stick Friction in Mechanical Dynamic Systems
,” ASME J. Dyn. Syst., Meas., Control
, 107
(1
), pp. 100
–103
,7.
Dahl
, P. R.
, 1968, “A Solid Friction Model
,” Technical Report No. TOR-0158(3107-18)-1, The Aerospace Corporation, El Segundo, CA.8.
Dahl
, P. R.
1976, “Solid Friction Damping of Mechanical Vibrations
,” AIAA J.
, 14
(12
), pp. 1675
–1682
.9.
Haessig
, D. A.
, and Friedland
, B.
, 1991, “On the Modeling and Simulation of Friction
,” ASME J. Dyn. Syst., Meas., Control
, 113
(3
), pp. 354
–362
.10.
Bliman
, P.-A.
, and Sorine
, M.
, 1991, “Friction Modelling by Hysteresis Operators: Application to Dahl, stiction, and Stribeck effects
,” Proceedings of the Conference on Models of Hysteresis
, Trento, Italy
, pp. 10
–19
.11.
Bliman
, P.-A.
, and Sorine
, M.
, 1993, “A system-theoretic Approach of Systems With Hystereis: Application to Friction Modelling and Compensation
,” Proceedings of the second European Control Conference
, Groningen, The Netherlands
, pp. 1844
–1849
.12.
Bliman
, P.-A.
, and Sorine
, M.
, 1995, “Easy-to-use Realistic Dry Friction Models for Automatic Control
,” 3rd European Control Conference
, Rome, Italy
, pp. 3788
–3794
.13.
Harnoy
, A.
, and Friedland
, B.
, 1994, “Dynamic Friction Model of Lubricated Surfaces for Precise Motion Control
,” Tribol. Trans.
, 37
(3
), pp. 608
–614
.14.
Harnoy
, A.
, and Friedland
B.
, 1994, “Modeling and simulation of Elastic and Friction Forces in Lubricated Bearings for Precise Motion Control
,” Wear
, 172
, pp. 155
–165
.15.
Canudas de Wit
, C.
, Olsson
, H.
, Åström
, K. J.
, and Lischinsky
, P.
, 1995, “A New Model for Control of Systems With Friction
,” IEEE Trans. Autom. Control
, 40
(3
), pp. 419
–425
.16.
Dupont
, P.
, Armstrong
, B.
, and Hayward
, V.
, 2000, “Elasto-plastic Friction Model: Contact Compliance and Stiction
,” Proceedings of the American Control Conference
, 2
, pp. 1072
–1077
.17.
Dupont
, P.
, Hayward
, V.
, Armstrong
, B.
, and Altpeter
, F.
, 2002, “Single State Elastoplastic Friction Models
,” IEEE Transactions on Automatic Control
, 47
(5
), pp. 787
–792
.18.
Swevers
, J.
, Al-Bender
, F.
, Ganseman
, C. G.
, and Projogo
, T.
, 2000, “An Integrated Friction Model Structure With Improved Presliding Behavior for Accurate Friction Compensation
,” IEEE Trans. Autom. Control
, 45
(4
), pp. 675
–686
.19.
Lampaert
, V.
, Swevers
, J.
, and Al-Bender
, F.
, 2002, “Modification of the Leuven Integrated Friction Model Structure
,” IEEE Trans. Autom. Control
, 47
(4
), pp. 683
–687
.20.
Al-Bender
, F.
, Lampaert
, V.
, and Swevers
, J.
, 2004, “A Novel Generic Model at Asperity Level for Dry Friction Force Dynamics
,” Tribol. Lett.
, 16
(12
), pp. 81
–93
.21.
Al-Bender
, F.
, Lampaert
, V.
, and Swevers
, J.
, 2005, “The Generalized Maxwell-slip Model: A Novel Model for Friction Simulation and Compensation
,” IEEE Trans. Autom. Control
, 50
(11
), pp. 1883
–1887
.22.
Gonzalez
, J. J.
, and Widmann
, G. R.
, 1992, “Investigation of Nonlinearities in the Force Control of Real Robots
,” IEEE Trans. Syst. Man Cybern.
, 22
(5
), pp. 1183
–1193
.23.
Gonzalez
, J. J.
, and Widmann
, G. R.
, 1995, “A Force Commanded Impedance Control Scheme for Robots With Hard Nonlinearities
,” IEEE Trans. Control Syst. Technol.
, 3
(4
), pp. 398
–408
.24.
Gonzalez
, J. J.
, and Widmann
, G. R.
, 1997, “A New Model for Nonlinear Friction Compensation in the Force Control of Robot Manipulators
,” IEEE International Conference on Control Applications
, pp. 201
–203
.25.
Kwon
, D. S.
, and. Woo
, K. Y.
, 2000, “Control of the Haptic Interface With Friction Compensation and Its Performance Evaluation
,” IEEE/RSJ International Conference on Intelligent Robots and Systems
, pp. 955
–960
.26.
Bazaei
, A.
, and Moallem
, M.
, 2010, “Prestiction Friction Modeling and Position Control in an Actuated Rotary Arm
,” IEEE Trans. Instrum. Meas.
59
(1
), pp. 131
–139
.27.
Skogestad
, S.
, and Postlethwaite
, I.
, 2005, Multivariable Feedback Control, Analysis and Design
, 2nd ed., John Wiley & Sons
, Chichester, England
, pp. 62
–65
.28.
Bazaei
, A.
, and Moallem
, M.
, 2009, “Force Transmission through a Structurally Flexible Beam: Dynamic Modeling and Feedback Control
,” IEEE Trans. Control Syst. Technol.
, 17
(5
), pp. 1245
–1256
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