Frequency domain based nonlinear feed forward control design for friction compensation

Mechanical Systems and Signal Processing

Volumn 27, Issue 1, 2012, Pages 551-562

  Rijlaarsdam, David ^a,b   Nuij, Pieter ^a   Schoukens, Johan ^b   Steinbuch, Maarten ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Feed forward; Frequency domain methods; Friction compensation; Motion control; Performance of nonlinear systems

Indexed keywords

CONTROLLER DESIGNS; CONTROLLER PARAMETER; DETECTION SENSITIVITY; FEED FORWARD; FREQUENCY DOMAIN APPROACHES; FREQUENCY DOMAINS; FREQUENCY-DOMAIN METHODS; FRICTION COMPENSATION; FRICTION COMPENSATOR; FRICTION CONTROL; MOTION STAGE; OPTIMAL PERFORMANCE; TRANSMISSION ELECTRON MICROSCOPE;

DESIGN; FREQUENCY DOMAIN ANALYSIS; MOTION CONTROL; NONLINEAR SYSTEMS; STICTION; TRANSMISSION ELECTRON MICROSCOPY; TRIBOLOGY;

CONTROLLERS;

EID: 81155124653     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2011.08.008     Document Type: Article

References (34)

1. F. Al-Bender, V. Lampaert, and J. Swevers The generalized maxwell-slip model: a novel model for friction simulation and compensation IEEE Trans. Automat. Control 50 2005 1883 1887 (Pubitemid 41748894)
2. B. Armstrong-Helouvry Control of Machines with Friction 1991 Kluwer Boston, MA
3. B. Armstrong-Helouvry, P. Dupont, and C. Canudas de Wit A survey of models, analysis tools and compensation methods for the control of machines with friction Automatica 30 1994 1083 1138 (Pubitemid 124008280)
4. S. Billings, and K. Tsang Spectral analysis for non-linear systems part, i: parametric non-linear spectral analysis Mech. Syst. Signal Process. 3 1989 319 339
5. H. Bode Network Analysis and Feedback Amplifier Design 1945 Van Nostrand
6. J.d. Bruin, A. Doris, N. van de Wouw, W. Heemels, and H. Nijmeijer Control of mechanical motion systems with non-collocation of actuation an friction: a popov criterion approach for input-to-state stability and set-valued nonlinearities Automatica 45 2009 405 415
7. C. Canudas de Wit, H. Olsson, K. Astrom, and P. Lischinsky New model for control of systems with friction IEEE Trans. Automat. Control 40 1995 419 425
8. C. Coulomb, Théorie des machines simples en ayant égard au frottement de leurs parties et á la roideur des cordages, Mem. Math. Phys. X (1785) 161342
9. P. Dahl, A solid friction model, The Aerospace Corporation, Technical Report, 1968.
10. T. Dhaene, R. Pintelon, J. Schoukens, and E. Van Gheem Variance analysis of frequency response function measurements using periodic excitations IEEE Trans. Instrum. Meas. 54 2005 1452 1456 (Pubitemid 41100679)
11. A. Gelb, and W. Vander Velde Multiple Input Describing Functions and Nonlinear System Design 1968 McGraw-Hill New Jersey
12. C. Johnson, and R. Lorenz Experimental identification of friction and its compensation in precisea position controlled mechanisms IEEE Trans. Indus. Appl. 28 1992 1392 1398 (Pubitemid 23603527)
13. V. Lampaert, J. Swevers, and F. Al-Bender Modification of the Leuven integrated friction model structure IEEE Trans. Automat. Control 47 2002 683 687 (Pubitemid 34554841)
14. V. Lampaert, J. Swevers, F. Al-Bender, Comparison of model and non-model based friction compensation techniques in the neighbourhood of pre-sliding friction, 2004, pp. 11211126.
15. L. Li, and S. Billings Estimation of generalized frequency response functions for quadratically and cubically nonlinear systems J. Sound Vib. 330 2011 461 470
16. P. Nuij, O. Bosgra, and M. Steinbuch Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses Mech. Syst. Signal Process. 20 2006 1883 1904 (Pubitemid 44205410)
17. P. Nuij, M. Steinbuch, and O. Bosgra Experimental characterization of the stick/sliding transition in a precision mechanical system using the third order sinusoidal input describing function Mechatronics 18 2008 100 110 (Pubitemid 351179621)
18. P. Nuij, M. Steinbuch, and O. Bosgra Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback Control Eng. Pract. 16 2008 101 113 (Pubitemid 350029026)
19. A. Pavlov, N. van de Wouw, and H. Nijmeijer Frequency response functions for nonlinear convergent systems IEEE Trans. Automat. Control 52 2007 1159 1165 (Pubitemid 47034052)
20. R. Pintelon, and J. Schoukens System Identification: A Frequency Domain Approach 2001 IEEE Press New Jersey
21. R. Pintelon, G. Vandersteen, L. De Locht, Y. Rolain, and J. Schoukens Experimental characterization of operational amplifiers: a system identification approach - i: theory and simulations IEEE Trans. Instrum. Meas. 53 2004 854 862
22. D. Rabijns, G. Vandersteen, and W. Moer An automatic detection scheme for periodic signals based on spectrum analyzer measurements IEE Trans. Instrum. Meas. 53 2004 1433 1440
23. A. Ramasubramanian, L. Ray, Stability and performance analysis for non-model-based friction estimators, 2001, pp. 29292935. (Pubitemid 34139411)
24. D. Rijlaarsdam, V. van Geffen, P. Nuij, J. Schoukens, M. Steinbuch, Frequency domain based feed forward tuning for friction compensation, in: Proceedings of the ASPE spring TM, 2010, pp. 129134.
25. D. Rijlaarsdam, S. van Loon, P. Nuij, M. Steinbuch, Nonlinearities in industrial motion stages - detection and classification, in: Proceedings of the ACC, 2010, pp. 66446649.
26. D. Rijlaarsdam, P. Nuij, J. Schoukens, M. Steinbuch, Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions, Automatica, doi: 10.1016/j.automatica.2011.08.049, accepted for publication.
27. J. Schoukens, J. Lataire, R. Pintelon, G. Vandersteen, and T. Dobrowiecki Robustness issues of the best linear approximation of a nonlinear system IEEE Trans. Instrum. Meas. 58 2009 1737 1745
28. J. Schoukens, R. Pintelon, T. Dobrowiecki, and Y. Rolain Identification of linear systems with nonlinear distortions Automatica 41 2005 491 504 (Pubitemid 40183245)
29. J. Swevers, F. Al-Bender, C. Ganseman, and T. Prajogo An integrated friction model structure with improved presliding behavior for accurate friction compensation IEEE Trans. Automat. Control 45 2000 675 686
30. T. Tjahjowidodo, F. Al-Bender, H. van Brussel, and W. Symens Friction characterization and compensation in electro-mechanical systems J. Sound Vib. 308 2007 632 646 (Pubitemid 47483780)
31. D. Torfs, R. Vuerinckx, J. Swevers, and J. Schoukens Comparison of two feedforward design methods aiming at accurate trajectory tracking of the end point of a flexible robot arm IEEE Trans. Control Syst. Technol. 6 1998 2 14 (Pubitemid 128746002)
32. M. Tsai, I. Chiu, and M. Cheng Design and implementation of command and friction feedforward control for CNC motion controllers IEE Proc.: Control Theory Appl. 151 2004 13 20
33. N.v.d. Wouw, H. Pastink, M. Heertjes, A. Pavlov, and H. Nijmeijer Performance of convergence-based variable-gain control of optical storage drives Automatica 44 2008 15 27
34. Y. Zhang, G. Liu, A. Goldenberg, Friction compensation with estimated velocity, 2002, pp. 26502655.