Parameter estimation for the LuGre friction model using interval analysis and set inversion

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

Volumn 1, Issue , 2004, Pages 428-433

  Madi, M S ^a   Khayati, K ^a   Bigras, P ^a  

^a ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

Author keywords

Boundary value problems; Friction; Interval analysis; Nonlinear estimation

Indexed keywords

BOUNDARY CONDITIONS; FRICTION; INVERSE KINEMATICS; LUTETIUM COMPOUNDS; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; PROBLEM SOLVING;

INTERVAL ANALYSIS; LEAST SQUARE (LS); NONLINEAR ESTIMATION; SET INVERSION;

SET THEORY;

EID: 15744383403     PISSN: 1062922X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. P. H. Dupont, V. Armstrong, B. F. Altpeter, "Single state elastoplastic friction models," Automat. Contr. IEEE Trans., vol. 47, pp. 787-792, 2002
2. J. A. B. Swevers, F. Ganseman, C. G. T. Projogo, "An integrated friction model structure with improved presliding behavior for accurate friction compensation," Automat. Contr. IEEE Trans., vol. 45, pp. 675-686, 2000.
3. C. Canudas de Wit, H. Olsson, K. J. Astrôm, and P. Lischinsky, "A new model for control of systems with friction," Automat. Contr. IEEE Trans., vol. 40, pp. 419-425, 1995.
4. H. N. Al-Duwaish, "Parameterization and compensation of friction forces using genetic algorithms," Proceedings of the 34th IEEE Industry Applications Conference, Phoenix, pp. 653-655, 1999.
5. R. H. A. Hensen, M. J. G. van de Molengraft, and M. Steinbuch, "Frequency domain identification of dynamic friction model parameters," Control Systems Technology IEEE Trans., vol. 10, pp. 191-196, 2002.
6. E.-W. Bal, M. NAPEL and R. TEMPO, "Bounded-error parameter estimation: noise models and recurcive algorithms," Automatica, vol. 32, pp. 985-999, 1996.
7. I. Braems, F. Berthiers, L. Jaulin, M. Kieffer, and E. Walter, "Guaranteed estimation of electrochemical parameters by set inversion using interval analysis," Automatica, vol. 495, pp. 1-9, 2000.
8. J. P. Norton, "Special issue on bounded error estimation," J. adaptative control and signal processing, vol. 9, pp. 1, 1995.
9. L. Jaulin and E. Walter, "Guaranteed parameter bounding for nonlinear models with uncertain experimental factors," Automatica, vol. 35, pp. 849-856, 1999.
10. L.Jaulin and E. Walter, "Set inversion via interval analysis for nonlinear bounded-error," Automatica, vol. 29, pp. 1053-1064, 1993.
11. I. Papamichail and A. Claires, "A rigourous global optimization algorithm for problems with ordinary differential equations," J. global of optimization, vol. 24, pp. 1-33, 2002.
12. P. Bigras and K. Khayati, "Nonlinear observer for pneumatic system with non-negligible connection port restriction," Proceedings of the American Control Conference, Anchorage, Alaska, USA, pp. 3191-3195, 2002.
13. S. Boyd, E. L. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in systems and control theory, vol. 15. Philadelphia, Pensylvania: Society for Industrial and Applied Mathematics, 1994.
14. S. M. Rump," INTLAB-interval laboratory, in csendes, T (Ed)," Developement in Reliable Computing,Kluwer academic publisher, pp. 77-104, 1998.