Analysis of second-order sliding-mode algorithms in the frequency domain

IEEE Transactions on Automatic Control

Volumn 49, Issue 6, 2004, Pages 946-950

  Boiko, I ^a   Fridman, L ^b   Castellanos, M I ^b  

^a SNC LAVALIN INC   (Canada)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Chattering; Relay control; Sliding mode (SM); Variable structure systems

Indexed keywords

ACTUATORS; ALGORITHMS; DIFFERENTIAL EQUATIONS; FREQUENCY DOMAIN ANALYSIS; MATRIX ALGEBRA; RELAY CONTROL SYSTEMS; VECTORS;

CHATTERING; DESCRIBING FUNCTION METHOD; PERIODIC MOTION; TRYPKIN APPROACH; VARIABLE STRUCTURE SYSTEMS;

SLIDING MODE CONTROL;

EID: 3042595540     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.829615     Document Type: Article

References (14)

1. A. Levant, "Universal SISO sliding-mode controllers with finite-time convergence," IEEE Trans. Automat. Contr., vol. 46, pp. 1447-1451, Sept. 2001.
2. L. Fridman, "Singularly perturbed analysis of chattering in relay control systems," IEEE Trans. Automat. Contr., vol. 47, pp. 2079-2084, Dec. 2002.
3. S. V. Emelyanov, S. K. Korovin, and A. Levant, "Higher order sliding modes in control systems," Diff. Equat., vol. 29, no. 11, pp. 1627-1647, 1993.
4. G. Bartolini, A. Ferrara, and E. Usai, "Chattering avoidance by second-order sliding-mode control," IEEE Trans. Automat. Contr., vol. 43, pp. 241-246, Feb. 1998.
5. G. Bartolini, A. Levant, A. Pissano, and E. Usai, "Higher-order sliding modes for the output-feedback control of nonlinear uncertain systems in variable structure systems," in Toward the 21st Century, X. Yu and J.-X. Xu, Eds. London, UK.: Springer-Verlag, 2002, vol. 274, Lecture Notes in Control and Information Science, pp. 83-108.
6. Y. B. Shtessel, D. R. Krupp, and I. A. Shkolnikov, "2-sliding-mode control for nonlinear plants with parametric and dynamic uncertainties," in Proc. 2000 Conf. AIAA, 2000, pp. 1-9.
7. Y. Orlov, L. Aguilar, and J. C. Cadiou, "Switched chattering control vs. backlash/friction phenomena in electrical servo-motors," Int. J. Control, vol. 76, no. 9-10, pp. 959-967, 2003.
8. A. Levant, "Sliding order and sliding accuracy in sliding-mode control," Int. J. Control, vol. 58, no. 6, pp. 1247-1263, 1993.
9. L. Fridman, "An averaging approach to chattering," IEEE Trans. Automat. Contr., vol. 46, pp. 1260-1264, Aug. 2001.
10. Y. Z. Tsypkin, Relay Control Systems. Cambridge, U.K.: Cambridge Univ. Press, 1984.
11. D. V. Anosov, "On stability of equilibrium points of relay systems," Automat. Remote Control, no. 2, pp. 135-149, 1959.
12. V. I. Utkin, Sliding Modes in Optimization and Control Problems. New York: Springer-Verlag, 1992.
13. D. P. Atherton, Nonlinear Control Engineering - Describing Function Analysis and Design. Workingham, U.K.: Van Nostrand, 1975.
14. Z. J. Palmor, Y. Halevi, and T. Efrati, "A general and exact method for determining limit cycles in decentralized relay systems," Automatica, vol. 31, no. 9, pp. 1333-1339, 1995.