On discretized sliding mode control systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 44, Issue 1 PART 1, 2011, Pages 13357-13361

  Wang, Bin ^a  

^a RMIT UNIVERSITY   (Australia)

Author keywords

Discontinuous control; Discretization; Lyapunov function; Sample and hold; Sliding mode control

Indexed keywords

LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS;

DISCONTINUOUS CONTROL; DISCRETIZATIONS; KEY ISSUES; REACHABILITY; SAMPLE AND HOLD; SLIDING MODES;

SLIDING MODE CONTROL;

EID: 84859892746     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20110828-6-IT-1002.03798     Document Type: Conference Paper

References (16)

1. Barbot, J.P. and Boukhobza, T. (2002). Discretization issues. In W. Perruquetti and J.P. Barbot (eds.), Sliding Mode Control in Engineering. Marcel Dekker, Inc.
2. Clarke, F.H. and Vinter, R.B. (2009). Stability analysis of slding mode feedback control. Journal of Cybernetics and Control, 38, 1169-1192.
3. Edwards, C. and Spurgeon, S.K. (1998). Sliding Mode Control: Theory and Applications. Taylor & Francis, London.
4. Galias, Z. and Yu, X. (2008). Analysis of zero-order holder discretization of two-dimensional sliding mode control systems. IEEE Transactions on Circuits and Systems II, 55(12), 1269-1273.
5. Herrmann, G., Spurgeon, S.K., and Edwards, C. (1999). Discretization of sliding mode based control schemes. In Proceedings of the 38th Conference on Decision & Control. Phoenix, USA.
6. Laila, D.S., Nesic, D., and Astolfi, A. (2006). Sampled-data control of nonlinear systems. In A. Loría, F. Lamnabhi-Lagarrigue, and E. Panteley (eds.), Advanced Topics in Control Systems Theory. Springer-Verlag.
7. Milosavljević, Č. (2004). Discrete-time VSS. In A. Sabanovic, L. Fridman, and S. Spurgeon (eds.), Variable Structure Systems: from Principles to Implementation.IEE.
8. Shevitz, D. and Paden, B. (1994). Lyapunov stability theory of nonsmooth systems. IEEE Transactions on Automatic Control, 39(9), 1910-1914.
9. Su, W.C., Drakunov, S.V., and Özgüner, U. (1996). Implementation of variable structure control for sampled data systems. In F. Garofalo and L. Glielmo (eds.), Robust Control via Variable Structure and Lyapunov Techniques. Springer-Verlag.
10. Utkin, V.I., Guldner, J., and Shi, J. (1999). Sliding mode control in electromechanical systems. Taylor & Francis, London.
11. Utkin, V. (1992). Sliding Modes in Control Optimization. Springer-Verlag, Berlin.
12. Wang, B., Yu, X., and Chen, G. (2009). Zoh discretization effect on single-input sliding mode control systems with matched uncertainties. Automatica, 45(1), 118-125.
13. Wu, Q., Onyshko, S., Sepehri, N., and Thornton-Trump, A.B. (1998). On construction of smooth lyapunov functions for non-smooth systems. International Journal of Control, 69(3), 443-457.
14. Young, K.D., Utkin, V.I., and Özgüner, U. (1999). A control engineer's guide to sliding mode control. IEEE Transactions on Control Systems Technology, 7(3), 328-342.
15. Yu, X. (1998). Discretization effect on a sliding mode control system with bang-bang type switching. International Journal of Bifurcation and Chaos, 8(6), 1245-1257.
16. Yu, X. and Chen, G. (2003). Discretization behaviors of equivalent control based variable structure systems. IEEE Transactions on Automatic Control, 48(9), 1641-1646.