Accuracy of homogeneous sliding modes in the presence of fast actuators

IEEE Transactions on Automatic Control

Volumn 55, Issue 3, 2010, Pages 810-814

  Levant, Arie ^a   Fridman, Leonid M ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Chattering; High order sliding mode; Singular perturbation; Sliding mode control

Indexed keywords

HIGH ORDER SLIDING MODE; SINGULAR PERTURBATIONS; SLIDING MODES; SLIDING VARIABLES; TIME CONSTANTS;

ACTUATORS;

SLIDING MODE CONTROL;

EID: 77949422993     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2040512     Document Type: Article

References (16)

1. G. Bartolini, "Chattering phenomena in discontinuous control systems," Int. J. Syst. 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, vol.33, no.3, pp. 2203-2210, 1997.
3. I. Boiko, L. Fridman, A. Pisano, and E. Usai, "Analysis of chattering in systems with second order sliding modes," IEEE Trans. Autom. Control, vol.52, no.11, pp. 2085-2102, Nov. 2007.
4. A. F. Filippov, Differential Equations With Discontinuous Right-Hand Sides. Dordrecht, The Netherlands: Kluwer Academic Publishers, 1988.
5. L. Fridman, "Singularly perturbed analysis of chattering in relay control systems," IEEE Trans. Autom. Control, vol.47, no.12, pp. 2079-2084, Dec. 2002.
6. A. Isidori, Nonlinear Control Systems, 2nd ed. New York: Springer Verlag, 1989.
7. A. Levant, "Higher order sliding modes, differentiation and outputfeedback control," Int. J. Control, vol. 76, no. 9/10, pp. 924-941, 2003.
8. A. Levant, "Homogeneity approach to high-order sliding mode design," Automatica, vol.41, no.5, pp. 823-830, 2005.
9. A. Levant, "Quasi-continuous high-order sliding-mode controllers," IEEE Trans. Autom. Control, vol.50, no.11, pp. 1812-1816, Nov. 2005.
10. A. Levant, "Construction principles of 2-sliding mode design," Automatica, vol.43, no.4, pp. 576-586, 2007.
11. A. Levant, "Chattering analysis," in Proc. Eur. Control Conf., Kos, Greece, Jul. 2007, pp. 3195-3202.
12. A. Levant, "Chattering analysis," IEEE Trans. Autom. Control, to be published.
13. A. Levant and L. Fridman, "Homogeneous sliding modes in the presence of fast actuators," in Proc. 44th IEEE CDC-ECC'05, Seville, Spain, Dec. 12-16, 2005, pp. 572-577.
14. A. Levant and Y. Pavlov, "Generalized homogeneous quasi-continuous controllers," Int. J. Robust Nonlin. Control, vol.18, no.4-5, pp. 385-398, 2008.
15. V. I. Utkin, Sliding Modes in Control and Optimization. Berlin, Germany: Springer Verlag, 1992.
16. V. Utkin and H. Lee, "Chattering analysis," in Advances in Variable Structure and Sliding Mode Control, Lecture Notes in Control and Information Sciences, C. Edwards, E. Fossas Colet, and L. Fridman, Eds. Berlin, Germany: Springer Verlag, 2006, vol.334, pp. 107-123.