Experimental characterization of the stick/sliding transition in a precision mechanical system using the third order sinusoidal input describing function

Mechatronics

Volumn 18, Issue 2, 2008, Pages 100-110

  Nuij, P W J M ^a   Steinbuch, M ^a   Bosgra, O H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Describing function; Frequency domain analysis; Friction; Harmonic distortion; Machine condition monitoring; Non linear systems; System identification

Indexed keywords

CONDITION MONITORING; FREQUENCY DOMAIN ANALYSIS; FRICTION; HARMONIC DISTORTION; IDENTIFICATION (CONTROL SYSTEMS); NONLINEAR SYSTEMS;

DESCRIBING FUNCTION; MACHINE CONDITION MONITORING; SINUSOIDAL INPUT DESCRIBING FUNCTION THEORY (SIDF);

PRECISION ENGINEERING;

EID: 38749145131     PISSN: 09574158     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechatronics.2007.09.001     Document Type: Article

References (34)

1. Hensen RHA. Controlled mechanical systems with friction, PhD. Thesis, 2002, Eindhoven University of Technology.
2. Hensen RHA, van de Molengraft MJG. Friction induced hunting limit cycles: an event mapping approach. In: Proceedings of the American control conference ACC2002, Canada: Anchorage; 2002. p. 2267-72.
3. Hensen RHA, van de Molengraft MJG, Steinbuch M. Friction in motion systems: performance deterioration for regulator tasks. In: Schellekens PH, editor. Proceedings of the 3rd Euspen. Eindhoven, Netherlands, 2002. p.67-70.
4. Hensen R.H.A., van de Molengraft M.J.G., and Steinbuch M. Friction induced limit cycling: hunting. Automatica 39 12 (2003) 2131-2137
5. Mihajlovic N., van Veggel A.A., van de Wouw N., and Nijmeijer H. Analysis of friction-induced limit cycling in an experimental drill-string set-up. J Dyn Sys Meas Control 126 4 (2004) 709-720
6. Putra D. Control of limit cycling in frictional mechanical systems, PhD. Thesis, 2004, Eindhoven University of Technology.
7. Canudas de Wit C., Olsson H., Åström K.J., and Lischinsky P. A new model for control of systems with friction. IEEE Trans Automat Control 40 3 (1995) 419-425
8. Swevers J., Al-Bender F., Ganseman C., and Prajogo T. An integrated friction model structure with improved presliding behavior for accurate friction compensation. IEEE Trans Automat Control 45 4 (2000) 675-686
9. Lampaert V., Swevers J., and Al-Bender F. Modifications of the Leuven friction model structure. IEEE Trans Automat Control 47 4 (2002) 683-687
10. Armstrong-Hélouvry B., Dupont P., and Canudas de Wit C. A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30 7 (1994) 1083-1138
11. de Jager B. Improving the tracking performance of mechanical systems by adaptive extended friction compensation. Control Eng Pract 1 6 (1993) 1009-1018
12. Lee H.S., and Tomizuka M. Robust motion controller design for high-accuracy positioning systems. IEEE Trans Ind Electron 43 1 (1996) 48-55
13. Kostic D., de Jager A.G., Steinbuch M., and Hensen R.H.A. Modeling and identification for high-performance robot control: an RRR-robotic arm case study. IEEE Trans Control Sys Technol 12 6 (2004) 904-919
14. Canudas de Wit C., and Lischinsky P. Adaptive friction compensation with partially known dynamic friction model. Int J Adapt Control Signal Processing 11 (1997) 65-80
15. Hensen R., van de Molengraft M., and Steinbuch M. Frequency domain identification of dynamic friction model parameters. IEEE Trans Control Sys Technol 10 2 (2002) 191-196
16. Sherif H.A., and Bassioni A.S. Non-linear identification of mechanical systems with dynamic dry friction. J Sound Vib 178 4 (1994) 513-533
17. Kang Y.S., and Kim K.J. Friction identification in a sight stabilisation system at low velocities. Mech Sys Signal Processing 11 3 (1997) 491-505
18. Symens W., Al-Bender F., Swevers J., and Van Brussel H. Harmonic analysis of a mass subject to hysteretic friction: experimental validation. Proceedings of the 2002 international seminar on modal analysis, Leuven, Belgium (2002) 1229-1240
19. Nuij PWJM. Measurement technique to determine modal parameters of friction-induced resonance. In: Sas P, van Hal B, editors. ISMA2002, Leuven, Belgium, 2002. p. 479-84.
20. Schoukens J., Dobrowiecki T., and Pintelon R. Parametric and nonparametric identification of linear systems in the presence of nonlinear distortions - a frequency domain approach. IEEE Trans Automat Control 43 (1998) 176-190
21. Pintelon R., and Schoukens J. System identification: a frequency domain approach (2001), John Wiley & Sons, Inc.
22. Evans C., Rees D., and Jones L. Nonlinear disturbance errors in system identification using multisine test signals. IEEE Trans Instrum Meas 43 (1994) 238-244
23. Solomou M., Rees D., and Chiras N. Frequency domain analysis of nonlinear systems driven by multiharmonic signals. IEEE Trans Instrum Meas 53 (2004) 243-250
24. Billings S.A., and Tsang T.M. Spectral analysis for non-linear systems, Part I: Parametric non-linear spectral analysis. Mech Sys Signal Process 3 4 (1989) 319-339
25. Billings S.A., and Tsang T.M. Spectral analysis for non-linear systems, Part II: Interpretation of non-linear frequency response functions. Mech Sys Signal Process 3 4 (1989) 341-359
26. Billings S.A., and Tsang T.M. Spectral analysis for non-linear systems, Part III: Case study examples. Mech Sys Signal Process 4 1 (1989) 3-21
27. Chua L., and Ng C. Frequency domain analysis of nonlinear systems: general theory. IEE J Electron Circuits Sys 3 (1979) 165-185
28. Boyd S., Tang Y., and Chua L. Measuring volterra kernels. IEEE Trans Circuits Sys CAS-30-8 (1983) 571-577
29. Chua L., and Liao Y. Measuring volterra kernels (II). Int J Circuit Theory Appl 17 (1989) 151-190
30. Gelb A., and Vander Velde W.E. Multiple input describing functions and non-linear system design (1968), McGraw-Hill, New York
31. Taylor J. Electrical engineering encyclopedia: describing functions (1999), John Wiley & Sons Inc., New York
32. Nuij P.W.J.M., Bosgra O.H., and Steinbuch M. Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses. Mech Sys Signal Process 20 8 (2006) 1883-1904
33. Slotine J., and Li W. Applied nonlinear control (1991), Prentice-Hall International, London
34. Randall R.B. Frequency analysis (1987), Brüel & Kjær, Nærum