Quasi-continuous high-order sliding-mode controllers

IEEE Transactions on Automatic Control

Volumn 50, Issue 11, 2005, Pages 1812-1816

  Levant, Arie ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Finite time stability; High order sliding mode; Output feedback control; Robustness

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

FINITE-TIME STABILITY; HIGH-ORDER SLIDING MODE; OUTPUT FEEDBACK CONTROL;

SLIDING MODE CONTROL;

EID: 28644450090     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.858646     Document Type: Article

References (22)

1. A. Bacciotti and L. Rosier, Liapunov Functions and Stability in Control Theory, London, U.K.: Springer-Verlag, 2001, vol. 267.
2. J. P. Barbot and M. Djemai, "Smooth manifolds and high order sliding mode control," in Proc. 41st IEEE Conf. Decision and Control, Las Vegas, NV, 2002, pp. 335-339.
3. G. Bartolini, A. Pisano, E. Punta, and E. Usai, "A survey of applications of second-order sliding mode control to mechanical systems," Int J. Control, vol. 76, no. 9/10, pp. 875-892, 2003.
4. S. P. Bhat and D. S. Bernstein, "Finite time stability of continuous autonomous systems," SIAM J. Control Optim., vol. 38, no. 3, pp. 751-766, 2000.
5. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Side. Dordrecht, The Netherlands: Kluwer, 1988.
6. T. Floquet, J.-P. Barbot, and W. Perruquetti, "Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems," Automatica, vol. 39, pp. 1077-1083, 2003.
7. L. Fridman, "Singularly perturbed analysis of chattering in relay control systems," IEEE Trans. Autom. Control, vol. 47, no. 12, pp. 2079-2084, Dec. 2002.
8. K. Furuta and Y. Pan, "Variable structure control with sliding sector," Automatica, vol. 36, pp. 211-228, 2000.
9. Y. Hong, "Finite-time stabilization and stabilizability of a class of controllable systems," Syst. Control Lett., vol. 46, pp. 231-236, 2002.
10. A. Isidori, Nonlinear Control Systems, 2nd ed. New York: Springer-Verlag, 1989.
11. M. K. Khan, K. B. Goh, and S. K. Spurgeon, "Second order sliding mode control of a diesel engine," Asian J. Control. vol. 5, no. 4, pp. 614-619, 2003.
12. S. Kobayashi, S. Suzuki, and K. Futura, "Adaptive VS differentiator, advances in variable structure systems," in Proc. 7th VSS Workshop, Sarajevo, Jul. 2002.
13. A. Levant L. V. Levantovsky, "Sliding order and sliding accuracy in sliding mode control" Int. J. Control, vol. 58, no. 6, pp. 1247-1263, 1993.
14. A. Levant, A. Pridor, R. Gitizadeh, I. Yaesh, and J. Z. Ben-Asher, "Aircraft pitch control via second-order sliding technique," AIAA J. Guid., Control, Dyna., vol. 23, no. 4, pp. 586-594, 2000.
15. A. Levant, "Universal SISO sliding-mode controllers with finite-time convergence," IEEE Trans. Autom. Control, vol. 46, no. 9, pp. 1447-1451, Sep. 2001.
16. A. Levant, "Higher-order sliding modes, differentiation and output-feedback control," Int. J. Control, vol. 76, no. 9/10, pp. 924-941, 2003.
17. A. Levant, "Quasicontinuous high-order sliding mode controllers," in Proc. 43rd IEEE Conf. Decision and Control, Maui, HI, Dec. 9-12, 2003.
18. A. Levant, "Homogeneity approach to high-order sliding mode design," Automatica, vol. 41, no. 5, pp. 823-830, 2005.
19. Y. Orlov, "Finite time stability and robust control synthesis of uncertain switched systems," SIAM J. Control Optim., vol. 43, no. 4, pp. 1253-1271, 2005.
20. H. Sira-Ramírez, "Dynamic second-order sliding mode control of the hovercraft vessel," IEEE Trans. Control Syst. Technol., vol. 10, no. 6, pp. 860-865, Nov. 2002.
21. Y. B. Shtessel, I. A. Shkolnikov, and M. D. J. Brown, "An asymptotic second-order smooth sliding mode control," Asian J. Control, vol. 5, no. 4, pp. 498-504, 2004.
22. V. I. Utkin, Sliding Modes in Optimization and Control Problems, New York: Springer-Verlag, 1992.