Homogeneous sliding modes in the presence of fast actuators

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 572-577

  Levant, Arie ^a   Fridman, Leonid ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b Faculty of Engineering   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; SENSITIVITY ANALYSIS;

HOMOGENEOUS SLIDING MODES; SLIDING VARIABLES;

SLIDING MODE CONTROL;

EID: 33847200475     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582217     Document Type: Conference Paper

References (24)

1. G. Bartolini, "Chattering phenomena in discontinuous control systems," Internat. J. Systems Sci.,vol. 20, pp. 2471-2481, 1989.
2. G. Bartolini, A. Ferrara and E. Usai "Output tracking control of uncertain non linear second order systems," Automatica, 33, 3, 2203-2210, 1997.
3. G. Bartolini, A. Ferrara, A. Pisano and E. Usai, "On the convergence properties of a 2-sliding control algorithm for nonlinear uncertain systems", Int. J. Control, vol. 74, pp. 718-731, 2001.
4. I. Boiko, "Frequency domain analysis of fast and slow motions in sliding modes", Asian Journal of Control, vol. 5, pp. 445-453, 2003.
5. M. Djemai, J.P. Barbot, "Smooth manifolds and high order sliding mode control," Proceedings of the 41st IEEE Conference on Decision and Control, pp. 335-339, 2002.
6. Edwards, C., Spurgeon, S. K. "Sliding Mode Control: Theory and Applications", Taylor & Francis, 1998.
7. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides, Dordrecht, The Netherlands, Kluwer Academic Publishers, 1988.
8. L. Fridman, "An averaging approach to chattering," IEEE Trans. on Automatic Control, vol. 46, pp.1260-1264, August 2001.
9. L. Fridman, and A. Levant. "Higher order sliding modes, " in: Sliding Mode Control in Engineering, J.P Barbot, W.Perruquetti (eds.), Marcel Dekker, New York, 2002, ch. 3.
10. L. Fridman, "Singularly Perturbed Analysis of Chattering in Relay Control Systems", IEEE Trans. on Automatic Control, vol. 47, pp. 2079-2084, December 2002.
11. L. Fridman, "Chattering analysis in sliding mode systems with inertial sensors," International J. Control, vol. 76, no. 9/10, pp. 906-912, 2003.
12. A. Isidori, Nonlinear Control Systems, second edition, Springer Verlag, New York, 1989.
13. A. Levant, "Sliding order and sliding accuracy in sliding mode control", Int. J. Control, vol. 58, pp. 1247-1263, 1993.
14. A. Levant, "Universal SISO sliding-mode controllers with finite-time convergence," IEEE Trans. Automat. Contr., vol. 46, pp. 1447-1451, Sept. 2001.
15. A. Levant, "Construction principles of output-feedback 2-sliding mode design", Proc. of the 42th IEEE Conference on Decision and Control, Las-Vegas, Nevada, December 10-13, vol.1, pp. 317-322, 2002.
16. A. Levant, "Higher order sliding modes, differentiation and output-feedback control," Int. J. Control, 76, no. 9/10, pp. 924-941, 2003.
17. A. Levant, "Quasi-continuous high-order sliding-mode controllers", IEEE Transactions on Automatic Control, to appear, 2005.
18. A. Levant, "Homogeneity approach to high-order sliding mode design." Automatica, vol. 41, no. 5, pp. 823-830, 2005.
19. A. Levant, A. Michael, "Adjustment of high-order sliding-mode controllers", Proc. of the 16th IFAC World Congress, Prague, 2005
20. Y. Orlov, "Finite time stability of switched systems," SIAM J. Control and Optimization, vol. 43, no. 4, pp. 1253-1271, 2005.
21. Y. B. Shtessel, I. A. Shkolnikov, M.D.J. Brown. "An asymptotic second-order smooth sliding mode control", Asian J. of Control, vol. 5, no. 4, pp. 498-5043, 2003.
22. J.-J. E. Slotine, W. Li, Applied Nonlinear Control, London: Prentice-Hall, Inc., 1991.
23. V.I. Utkin Sliding modes in control and optimization, Berlin, Germany: Springer Verlag, 1992.
24. V. Utkin, J. Guldner, and J Shi, Sliding Modes in Electromechanical Systems, Taylor and Francis, London, 1999.