Multivariable practical higher order sliding mode control

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

Volumn 2005, Issue , 2005, Pages 1252-1257

  Laghrouche, S ^a   Plestan, F ^b   Glumineau, A ^b  

^a SUPELEC   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; LARGE SCALE SYSTEMS; NONLINEAR SYSTEMS; REAL TIME SYSTEMS;

HIGHER ORDER SLIDING MODE CONTROLLER; MULTI INPUT-MULTI OUTPUT (MIMO) NONLINEAR SYSTEMS;

SLIDING MODE CONTROL;

EID: 33847232262     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582330     Document Type: Conference Paper

References (24)

1. G. Bartolini, A. Ferrara, and E. Usai, "Chattering avoidance by second-order sliding mode control", IEEE Trans. Autom. Control, vol.43, no.2, 1998, pp.241-246.
2. G. Bartolini, A. Ferrara, E. Usai, and V.I. Utkin, "On Multi-Input Chattering-Free Second-Order Sliding Mode Control", IEEE Trans. Autom. Control, vol.45, no.9, 2000, pp.1711-1717.
3. R.A. DeCarlo, S.H. Zak, and G.P. Matthews, "Variable structure control of nonlinear multivariable systems: a tutorial", Proc. of IEEE, vol.76, no.3, 1988, pp.212-232.
4. C.M. Dorling, and A.S.I. Zinober, "Two approaches to hyperplane design in multivariable variable structure control systems", Int. J. Control, vol.44, no.1, 1986, pp.65-82.
5. C.M. Dorling, and A.S.I. Zinober, "Robust hyperplane design in multivariable structure control systems", Int. J. Control, vol.48, no.5, 1988, pp.2043-2054.
6. C. Edwards, and S.K. Spurgeon, "Sliding mode control: Theory and applications", Taylor & Francis, London, UK, 1998.
7. S.V. Emelyanove, S.K. Korovin and A. Levant,"Higher-order sliding modes in control systems", Differential Equations, vol.29, no.11, 1993, pp. 1627-1647.
8. A.F. Filippov, Differential Equations with Discontinuous Right-Hand Side, Kluwer, Dordrecht, The Netherlands, 1988.
9. T. Floquet, J.P Barbot and W.Perruquetti, "One-chained form and sliding mode stabilization for a nonholonomic perturbed system", in Proc. American Control Conference ACC, Chicago, Illinois, USA, 2000.
10. A. Isidori, Nonlinear Control Systems, Springer-Verlag, London, UK, 1995.
11. M.K. Khan, Design and application of second older sliding mode control algorithms, Ph. D. Thesis, University of Leicester, UK, 2003.
12. S. Laghrouche, F. Plestan, and A. Glumineau, "Higher order sliding mode control based on optimal linear quadratic control", in Proc. European Control Conference ECC, Cambridge, UK, 2003.
13. S. Laghrouche, F. Plestan, and A. Glumineau, "A higher order sliding mode controller for a class of MIMO nonlinear systems: application to PM synchronous motor control", in Proc. American Control Conference ACC, Boston, Massachusetts, USA, 2004.
14. F. Plestan, S. Laghrouche, and A. Glumineau, "Higher order sliding mode control for MIMO non linear system", in Proc. International Workshop on Variable Structure Systems VSS'04, Vilanova i la Geltr, Spain, 2004.
15. A. Levant, "Sliding order and sliding accuracy in sliding mode control", Int. J. Control, vol.58, no.6, 1993, pp. 1247-1263.
16. A. Levant, "Controlling output variables via higher order sliding modes", in Proc. European Control Conference ECC, Karlsruhe, Germany, 1999.
17. A. Levant, "Universal SISO sliding-mode controllers with finite-time convergence", IEEE Trans. Automat. Control, vol.49, no.9, 2001, pp.1447-1451.
18. A. Levant, "Universal output-feedback SISO controller", in Proc. IFAC World Congress, Barcelona, Spain, 2002.
19. A. Levant, "MIMO 2-sliding control design", in Proc, European Control Conference ECC, Cambridge, United Kingdom, 2003.
20. F.L. Lewis, Optimal Control, Wiley, New York, USA, 1986.
21. W.E. Schmitendorf, and S.J. Citron, "On the applicability of the sweep method to optimal control problems", IEEE Trans. Automat. Control, vol.14, no.1, pp.69-72, 1969.
22. S.K. Spurgeon, "Choice of discontinuous control compenent for robust sliding mode performance", Int. J. Contr, vol.53, no.1, 1991, pp.163-179.
23. V.I. Utkin, Sliding Mode in Control and optimization, Springer-Verlag, Berlin, Germany, 1992.
24. Y. Wu, X. Yu, and Z. Man "Terminal sliding mode control design for uncertain dynamic systems", Syst. Contr. Letters, vol.34, no.5, 1998, pp.281-287.