Adaptive Compensation of Friction Forces with Differential Filter

  • Kouichi Mitsunaga Oita Institute of Technology Control Engineering Department 407-27 Higashihama, Nakatsu, Oita, Japan 871-0006
  • Takami Matsuo Oita University Department of Architecture and Mechatronics 700 Dannoharu, Oita, Japan 870-1192

Abstract

In this paper, we design an adaptive controller to compensate the nonlinear friction model when the output is the position. First, we present an adaptive differential filter to estimate the velocity. Secondly, the dynamic friction force is compensated by a fuzzy adaptive controller with position measurements. Finally, a simulation result for the proposed controller is demonstrated.

References

[1] B. Armstrong-Helouvry, P. Dupont, C. Canudas de Wit, " A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines with Friction". Automatica, vol.30, pp.1083– 1138, 1994.
http://dx.doi.org/10.1016/0005-1098(94)90209-7

[2] C. Canudas de Wit, H. Olsson, K.J. Astrom, and P. Lischinsky, " A New Model for Control of Systems with Friction". IEEE Transaction on Automatic Control, vol.40-3, pp.419–425, 1995.
http://dx.doi.org/10.1109/9.376053

[3] C. Canudas de Wit and S.S. Ge, " Adaptive Friction Compensation for Systems with Generalized Velocity/Position Friction Dependency". Proc. of the 36th IEEE Conference on Decision and Control, pp.2465–2470, 1997.
http://dx.doi.org/10.1109/CDC.1997.657526

[4] D. V.-Díaz and Y. Tang, " Adaptive Robust Control of Nonlinear Systems". IEEE Trans. on Systems, Man, and Cybernetics, Part B, vol.34-3, pp.1596–1601, 2004.

[5] B. Friedland and Y.-J. Park, " On Adaptive Friction Compensation". IEEE Transaction on Automatic Control, vol.37-10, pp.1609–1612, 1992.

[6] S.S. Ge, T.H. Lee, and J. Wang, " Adaptive NN Control of Dynamic Systems with Unknown Dynamic Friction". Proc. of the 39th IEEE IEEE Conference on Decision and Control, pp.1760–1765, 2000.
http://dx.doi.org/10.1109/cdc.2000.912116

[7] H. Han and C.-Y. Su, " Robust fuzzy control of nonlinear systems using shape-adaptive radial basis functions". Fuzzy Sets and Systems, vol.125, pp.23–38, 2002.
http://dx.doi.org/10.1016/S0165-0114(01)00026-4

[8] R.M. Hirschorn and G. Miller, " Control of Nonlinear Systems with Friction". IEEE Trans. on Control Systems Technology, vol.7-5, 588–595, 1999.

[9] S.N. Huang, K.K. Tan, T.H. Lee, " Adaptive motion control using neural network approximations". Automatica, vol.38, pp.227–233, 2002.
http://dx.doi.org/10.1016/S0005-1098(01)00192-3

[10] E. Papadopoulos and G. Chasparis, " Analysis and Model-based Control of Servomechanisms with Friction". ASME J. Dynamic Systems, Measurement and Control, vol.126-4, pp.911–915, 2004.

[11] S.-H. Park and T. Matsuo, " Time-Derivative Estimation of Noisy Movie Data Using Adaptive Control Theory". International Journal of Signal Processing, vol.2-3, pp.170–177, 2005.

[12] D. Putra, L.P.M. Moreau, and H. Nijmeijer, " Observer-Based Compensation of Discontinuous Friction". Proc. of the 43rd IEEE Conference on Decision and Control, pp.4940–4945, 2004.
http://dx.doi.org/10.1109/cdc.2004.1429589

[13] L. R. Ray, A. Ramasubramanian, and J. Townsend, " Adaptive Friction Compensation Using Extended Kalman-Bucy filter Friction Estimation". Control Engineering Practice, vol.9, pp.169–179, 2001.
http://dx.doi.org/10.1016/S0967-0661(00)00104-0

[14] K. Sato, Y. Mishima, K. Tsuruta, and K. Murata, " Adaptive Positioning Control for Linear Slider with Friction Compensation". Trans. of Society of the Instrument and Control Engineers,Japan, vol.40-2, pp.275–277, 2004 (in Japanese).
http://dx.doi.org/10.9746/sicetr1965.40.275

[15] P. Tomei, " Robust Adaptive Friction Compensation for Tracking Control of Robot Manipulators". IEEE Transaction on Automatic Control, vol.45-6, pp.2164–2169, 2000.
http://dx.doi.org/10.1109/9.887661

[16] J. Wang, S.S. Ge and T.H. Lee, " Adaptive Friction Compensation for Servo Mechanism". in: Adaptive Control of Nonsmooth Dynamic Systems G. Tao and F.L. Lewis (Eds.), Springer, pp.211– 248, 2001.
http://dx.doi.org/10.1007/978-1-4471-3687-3_8

[17] Q.H. Xia, S.Y. Lin, M.H. Ang Jr. and T.M. Lim, " Adaptive Joint Friction Compensation Using a Model-Based Operational Space Velocity Observer". Proc. of IEEE International Conf. on Robotics and Automation, pp.3081–3086, 2004.
Published
2008-03-01
How to Cite
MITSUNAGA, Kouichi; MATSUO, Takami. Adaptive Compensation of Friction Forces with Differential Filter. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 3, n. 1, p. 80-89, mar. 2008. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/2377>. Date accessed: 05 july 2020. doi: https://doi.org/10.15837/ijccc.2008.1.2377.

Keywords

nonlinear friction, adaptive controller, fuzzy basis function expansion, adaptive differential filter