Robust speed control of a low damped electromechanical system based on CRONE control: Application to a four mass experimental test bench

Nonlinear Dynamics

Volumn 38, Issue 1-4, 2004, Pages 383-400

  Sabatier, Jocelyn ^a   Poullain, Serge ^b   Latteux, Patrick ^b   Thomas, Jean Luc ^b   Oustaloup, Alain ^a  

^a Ecole Nationale Superieure d'Electronique Informatique et Radiocommunications de Bordeaux   (France)

^b AREVA NP   (France)

Author keywords

Adjustable speed drives; Backlash; CRONE control; Four masses low damped system; Fractional differentiation; Luenberger observer; Machine tool drives; Modeling; Robust speed control

Indexed keywords

CONTROL SYSTEM SYNTHESIS; DAMPING; ERROR ANALYSIS; MACHINE TOOL DRIVES; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); SPEED CONTROL; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TORQUE;

ADJUSTABLE SPEED DRIVES; BACKLASH; CRONE CONTROL; FOUR MASSES LOW DAMPED SYSTEMS; FRACTIONAL DIFFERENTIATION; LUENBERGER OBSERVERS; ROBUST SPEED CONTROL;

ELECTROMECHANICAL DEVICES;

EID: 15544389469     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-004-3768-2     Document Type: Conference Paper

References (23)

1. Dhaouadi, R., Kubo, K., and Tobishe, M., 'Robust speed control of rolling mill drive systems using the loop transfer recovery design method', in Proceedings of IEEE IECON 91, Annual IEEE Conference on Industrial Electronics, Control and Instrumentation, Kobe, Japan, October 28-November 1, 1991, pp. 555-560.
2. Vukosavic, S. N., 'Suppression of torsional oscillation in a high performance speed servo drive', IEEE Transactions on Industrial Electronics 45(1), 1998, 108-117.
3. Nordin, M. and Gutman P. O., 'Controlling mechanical systems with backlash: a survey', Automatica 38(10), 2002, 1633-1649.
4. Brandenburg, G. and Kaiser, W., 'On PI motion control of elastic systems with notch filters in comparison with advanced strategies', in Proceedings of IFAC Conference on Motion Control, Munich, Germany, 1995, pp.~863-872.
5. Brandenburg, G., 'Stability of a speed controlled elastic two-mass system with backlash and coulomb friction and optimisation by a load observer', in Proceedings of IMACS-IFACS Symposium on Modelling and Simulation for Control of Lumped and Distributed Parameters Systems, Lille, France, 1986, pp.~107-113.
6. Oldak, S., Baril, C., and Gutman, P. O., 'Quantitative design of a class of nonlinear systems with parameter uncertainty', International Journal of Robust Control 4, 1994, 101-117.
7. Gurian, S., 'Resonance compensation in large drive systems', in Proceedings of 1998 AISE Annual Convention, Pittsburgh, Pennsylvania, September 21-23, 1998 ( http://www.aise.org ).
8. Nordin, M., 'Robust control of rolling mill with minimal impact drop', Master's Thesis, Optimisation and System Theory, Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden, TRITA(MAT-92-0037, 1992.
9. Hirata, M., Liu, K. Z., and Mita, T., 'Active vibration control of a 2-mass system using μ-synthesis with a descriptor form representation', Control Engineering Practice 4(4), 1996, 545-552.
10. Boneh, R. and Yaniv, O., 'Reducion of limit cycle amplitude in the presence of backlash', Journal of Dynamics Systems, Measurement, and Control 121(2), 1999, 278-284.
11. Oustaloup, A., La Commande CRONE, Hermes, Paris, 1991.
12. Oustaloup, A. and Mathieu, B., La Commande CRONE: Du Scalaire au Multivariable, Hermes, Paris, 1999.
13. Oustaloup, A., Mathieu, B., and Lanusse, P., 'The CRONE control of resonant plants: application to a flexible transmission', European Journal of Control 1(2), 1995.
14. Oustaloup, A., Melchior, P., Lanusse, P., Cois, O., and Dancla, F., 'The CRONE toolbox for Matlab', in Proceedings of the 11th IEEE International Symposium on Computer-Aided Control System Design, CACSD, Anchorage, Alaska, 2000.
15. Kuang, M. L., Hrovat, D., and Pickett, D. H., 'Feedback control system for supressing driveline oscillations in electric vehicles', in Proceedings of the 14th International Electric Vehicle Symposium EVS-14, Orlando, Florida, December 11-17, 1997, pp. 1-6.
16. Thomas, J. L., Oustaloup, A., Sabatier, J., Poullain, S., and Latteux, P., 'Procédé et dispositif de contrôle de vitesse angulaire d'une chaine électromécanique peu amortie', FR 0106987, May 29, 2001, French Patent.
17. Oustaloup, A., Sabatier, J., and Lanusse P., 'From fractal robustness to the CRONE control', Fractional Calculus and Applied Analysis 2(1), 1999, 1-30.
18. Lanusse, P., Oustaloup, A. and Mathieu, B., 'Robust control of LTI square MIMO plants using two CRONE control design approaches', in Proceedings of the IFAC Symposium on Robust Control Design ROCOND'2000, Prague, Czech Republic, June 21-23, 2000.
19. Lanusse, P., Pommier, V., and Oustaloup, A., 'Fractional control-system design for a hydraulic actuator', in Proceedings of the 1st IFAC Conference on Mechatronics Systems, Mechatronics'2000, Darmstadt, Germany, September 18-20, 2000.
20. Pommier, V., Sabatier, J., Lanusse, P., and Oustaloup, A., 'CRONE control of a nonlinear hydraulic actuator', Control Engineering Practice 10, 2002, 391-402.
21. Sabatier, J., Oustaloup, A., Garcia, Iturricha, A., and Lanusse, P., 'CRONE control: Principles and extension to time varying systems with asymptotically constant coefficients', Nonlinear Dynamics 29, 2002, 363-385.
22. Garcia Iturricha, A., Sabatier, J., and Oustaloup, A., 'Time-varying z-transform for the analysis of discrete-time linear time periodic', Journal of Dynamics and Control 9(3), 2003, 365-392.
23. Sabatier, J., Oustaloup, A., Garcia Iturricha, A., and Levron, F., 'CRONE control of continuous linear time periodic systems based on time varying frequency responses representations', ISA Transactions 42(3), 2003, 421-436.