Designing R-sliding mode control using smooth iterative manifolds

Mediterranean Journal of Measurement and Control

Volumn 4, Issue 2, 2008, Pages 86-93

  Djemai, M ^a   Barbot, J P ^b   Busawon, Krishna K ^c  

^a UNIVERSITÉ DE VALENCIENNES   (France)

^b ENSEA   (France)

^c NORTHUMBRIA UNIVERSITY   (United Kingdom)

Author keywords

High order sliding mode; Nonlinear systems; Smooth manifolds

Indexed keywords

CONTROL THEORY; DISCRETE TIME CONTROL SYSTEMS; ROBUST CONTROL; SLIDING MODE CONTROL;

CONTROL DESIGNS; FINITE TIME CONVERGENCE; FINITE TIME STABILITY; HIGH ORDER SLIDING MODE; HIGHER-ORDER SLIDING MODE CONTROL; NONLINEAR SYSTEMS; RELATIVE DEGREES; SLIDING MODES; SMOOTH MANIFOLDS; THIRD-ORDER;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 49049105326     PISSN: 17439310     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. A. Levant, "Universal Single-Input-Single-Output Sliding-Mode Controllers With Finite-Time Convergence", IEEE Transactions on Aut. Control, Vol. 46, No. 9, Sep. 2001, and the extended version, "Arbitrary-order Sliding modes with finite-time convergence", from website: http://cs.bgu.ac.il/~levant, pp. 1447-1451.
2. J. J. E. Slotine, S. S. Sasrty, "Tracking control for nonlinear systems using sliding surfaces with applications to robot manipulators", Int. J. of Control, 38, 1983, pp. 465-492.
3. H. Sira Ramirez, "On the sliding mode control of nonlinear systems", Systems and Control Letters, 19, 1992, pp. 303-312.
4. S. V. Emelyanov, S. K. Korovin, L.V. Levantovsky, "Second Order Sliding Modes in Controlling Uncertain Systems", Soviet J. of Computer and System Science, Vol. 24, No. 4, 1986, pp. 63-68.
5. M. Krstic, I. Kanellakopoulos, P. Kokotovic, "Nonlinear and Adaptive Control Design", Wiley-Interscience, New-York, 1995.
6. S. P. Bhat, D. S. Bernstien, "Finite-time stability of continuous automumous systems", SIAM J. Control Optim., Vol. 38, No. 3, 2000, pp.751-766.
7. Y. Wu, X. Yu, Z. Man, "Terminal sliding mode control design for uncertain dynamic systems", Systems and Control Letters, Vol. 34, 1998, pp. 281-287.
8. A. Levant, "Construction principle of output-feedback 2-sliding mode design", Proc. of CDC-2002, pp. 317-322.
9. G. Bartoloni, A. Ferrara, A. Levant, E. Usai, "On second order sliding mode controllers", Proc. of 5th Int. Workshop on VSS, Longboat Key, Florida, 1998.
10. M. Djemai, J. P. Barbot, "Smooth Manifolds and High Order Sliding Mode Contror", In IEEE-CDC Conference, 2002.
11. S.V. Emelyanov, S. K. Korovin, L.V. Levantovsky, "A drift algorithm in control of uncertain systerns", Problems of Control and Information Theory, Vol. 15, No 6, 1986, pp. 42-62.
12. A. Levant, "Sliding order and sliding accuracy in sliding mode control", Int. J. of Control, Vol. 58, No. 6, 1993, pp. 1247-1263.
13. A. Levant, S. V. Emelyanov, S. K. Korovin, "Higher order Sliding mode in control system", Differential equations, Vol. 29, No. 11, 1993, pp. 1627-1934.
14. A. Levant, "Higher order Sliding collection of design tools", In proc. of ECC-97, Bruxelles, Belgique, 1997.
15. R. Murray, S. Sastry, "Nonholonomic motion planning: steering using sinusoids", IEEE Transactions on Aut. Control Vol. 38, No.5, 1993, pp. 700-716.
16. W. Perruquetti, J-P. Barbot, "Sliding mode control in engineering", Control Engineering Series, 11, Marcel Dekker, Inc., 2002.