Implementation of a friction estimation and compensation technique

A friction estimation and compensation technique was implemented on a laboratory apparatus designed to permit the direct measurement of friction. Experimental results are reported for a friction observer which estimates the total friction present, assuming that it is a constant times the sign of velocity. An second observer is used to estimate the velocity using the measured position of the rotating shaft in the apparatus, when the velocity is not measurable. Experimental results show that the friction estimate is consistent with the measured friction, displaying the theoretical hysteresis phenomenon. Moreover, the performance of the system is substantially improved, especially at very low velocity, through the use of the estimated friction to compensate the system.

[1]  K.J. Astrom,et al.  Dynamic Friction Models and Control Design , 1993, 1993 American Control Conference.

[2]  R.D. Lorenz,et al.  Experimental identification of friction and its compensation in precise, position controlled mechanisms , 1991, Conference Record of the 1991 IEEE Industry Applications Society Annual Meeting.

[3]  Dudley D. Fuller,et al.  Theory and Practice of Lubrication for Engineers , 1956 .

[4]  Eric P. Dunlap,et al.  Friction Modeling and Control in Boundary Lubrication , 1993, 1993 American Control Conference.

[5]  R. Bell,et al.  A Study of the Stick-Slip Motion of Machine Tool Feed Drives: , 1969 .

[6]  Bernard Friedland,et al.  Dynamic Friction Model of Lubricated Surfaces for Precise Motion Control , 1994 .

[7]  A. Soom,et al.  Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities , 1990 .

[8]  Carlos Canudas de Wit,et al.  A new model for control of systems with friction , 1995, IEEE Trans. Autom. Control..

[9]  Toshiro Higuchi,et al.  Application of Electromagnetic Impulsive Force to Precise Positioning , 1987 .

[10]  Bernard Friedland,et al.  On the Modeling and Simulation of Friction , 1990, 1990 American Control Conference.

[11]  Bernard Friedland,et al.  Design of servo for gyro test table using linear optimum control theory , 1976 .

[12]  Masayoshi Tomizuka,et al.  Adaptive Pulse Width Control for Precise Positioning under Influence of Stiction and Coulomb Friction , 1987, 1987 American Control Conference.

[13]  Dean Karnopp,et al.  Computer simulation of stick-slip friction in mechanical dynamic systems , 1985 .

[14]  S. Kato,et al.  On the Dynamic Behavior of Machine Tool Slideway : 2nd Report, Characteristics of Kinetic Friction in "Stick Slip" Motion , 1969 .

[15]  Tae-Yong Kuc,et al.  An iterative learning control of robot manipulators , 1991, IEEE Trans. Robotics Autom..

[16]  Pierre E. Dupont,et al.  The Effect of Friction on the Forward Dynamics Problem , 1993, Int. J. Robotics Res..

[17]  Craig D. Walrath,et al.  Adaptive bearing friction compensation based on recent knowledge of dynamic friction , 1984, Autom..

[18]  Jürg Tödtli,et al.  Fuzzy Anti-Reset Windup for PID Controllers , 1993 .

[19]  S. Kato,et al.  Stick-Slip Motion of Machine Tool Slideway , 1974 .

[20]  B. R. Singh,et al.  Study of Critical Velocity of Stick-Slip Sliding , 1960 .

[21]  Masayoshi Tomizuka,et al.  Application of nonlinear friction compensation to robot arm control , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[22]  E. Rabinowicz,et al.  Friction and Wear of Materials , 1966 .

[23]  Bernard Friedland,et al.  On adaptive friction compensation , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[24]  P. Dupont Avoiding stick-slip through PD control , 1994, IEEE Trans. Autom. Control..

[25]  Karl Johan Åström,et al.  A simple neuron servo , 1991, IEEE Trans. Neural Networks.

[26]  A. de Carli,et al.  Dynamic friction compensation in servodrives , 1994, 1994 Proceedings of IEEE International Conference on Control and Applications.

[27]  N. DeClaris,et al.  Asymptotic methods in the theory of non-linear oscillations , 1963 .

[28]  Sofia Mentzelopoulou Estimation and cancellation of friction in control systems , 1994 .

[29]  U. Schafer,et al.  Influence and compensation of Coulomb friction in industrial pointing and tracking systems , 1991, Conference Record of the 1991 IEEE Industry Applications Society Annual Meeting.

[30]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[31]  B. Friedland,et al.  On adaptive friction compensation without velocity measurement , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[32]  A. Ruina,et al.  Stability of Steady Frictional Slipping , 1983 .

[33]  John Kenneth Salisbury,et al.  The Effect of coulomb friction and stiction on force control , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[34]  Richard Paul,et al.  Manipulator compliance based on joint torque control , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[35]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[36]  J. Gilbart,et al.  Adaptive compensation for an optical tracking telescope , 1974, Autom..

[37]  Masayoshi Tomizuka,et al.  Design and Implementation of Digital Servo Controller for High Speed Machine Tools , 1991, 1991 American Control Conference.

[38]  A. Tustin,et al.  The effects of backlash and of speed-dependent friction on the stability of closed-cycle control systems , 1947 .

[39]  Brian S. R. Armstrong,et al.  Dynamics for robot control: friction modeling and ensuring excitation during parameter identification , 1988 .

[40]  R. Bell,et al.  Dynamic Behaviour of Plain Slideways , 1966 .

[41]  O. Reynolds I. On the theory of lubrication and its application to Mr. Beauchamp tower’s experiments, including an experimental determination of the viscosity of olive oil , 1886, Proceedings of the Royal Society of London.

[42]  Brian Armstrong-Hélouvry,et al.  Control of machines with friction , 1991, The Kluwer international series in engineering and computer science.

[43]  E. Rabinowicz The Intrinsic Variables affecting the Stick-Slip Process , 1958 .

[44]  Bernard Friedland,et al.  Control System Design: An Introduction to State-Space Methods , 1987 .

[45]  J. B. Sampson,et al.  Studies in Lubrication: XII. Friction Behavior During the Slip Portion of the Stick‐Slip Process , 1943 .

[46]  Carlos Canudas de Wit,et al.  Adaptive friction compensation in DC motor drives , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[47]  R. Ibrahim Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part I: Mechanics of Contact and Friction , 1994 .

[48]  B. Friedland,et al.  Modeling and simulation of elastic and friction forces in lubricated bearings for precise motion control , 1994 .

[49]  C. Coulomb Théorie des machines simples, en ayant égard au frottement de leurs parties et a la roideur des cordages , 1968 .

[50]  C. Shen,et al.  Nonlinear Compensation of a Second-and Third-Order System with Dry Friction , 1964, IEEE Transactions on Applications and Industry.

[51]  D. Pavelescu,et al.  The friction-speed relation and its influence on the critical velocity of stick-slip motion , 1982 .

[52]  C.W. de Silva,et al.  Friction estimation in a planar electrohydraulic manipulator , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[53]  P. Dahl Solid Friction Damping of Mechanical Vibrations , 1976 .

[54]  Bernard Friedland,et al.  Experimental evaluation of friction estimation and compensation techniques , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[55]  Michael K. Masten,et al.  Adaptive Friction Compensation for Line-of-Sight Pointing and Stabilization , 1993, 1993 American Control Conference.

[56]  Carlos Canudas de Wit,et al.  Adaptive Friction Compensation in Robot Manipulators: Low Velocities , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[57]  G. Brandenburg,et al.  Influence and adaptive compensation of simultaneously acting backlash and coulomb friction in elastic two-mass systems of robots and machine tools , 1989, Proceedings. ICCON IEEE International Conference on Control and Applications.

[58]  Bernard Friedland,et al.  Apparatus for empirical determination of dynamic friction , 1994, Proceedings of 1994 American Control Conference - ACC '94.