Euler's discretization of single input sliding-mode control systems

IEEE Transactions on Automatic Control

Volumn 52, Issue 9, 2007, Pages 1726-1730

  Galias, Zbigniew ^a   Yu, Xinghuo ^b  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

^b RMIT UNIVERSITY   (Australia)

Author keywords

Discretization; Dynamical behaviors; Equivalent control; Sliding mode control

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; ESTIMATION; EULER EQUATIONS;

EULER'S DISCRETIZATION; MAXIMUM CHATTERING AMPLITUDE; STEADY STATES;

SLIDING MODE CONTROL;

EID: 34648837216     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.904289     Document Type: Article

References (9)

1. C. Milosavljevic, "Discrete-time VSS," in Variable Structure Systems: From Principles to Implementation. London, U.K.: Inst. Elect. Eng. Press, 2004, vol. 66, pp. 99-128.
2. K. Furuta and Y. Pan, "Discrete-time VSS control for continuous-time systems," in Proc. 1st Asian Contr. Conf., 1993, pp. 377-380.
3. X. Yu and G. Chen, "Discretization behaviors of equivalent control based sliding mode control systems," IEEE Trans. Autom. Control, vol. 48, no. 9, pp. 1641-1646, 2003.
4. J.-X. Xu, F. Zheng, and T. Lee, "On sampled data variable structure control algorithm applied to linear plant," in Variable Structure Systems, Sliding Mode and Nonlinear Control, ser. Lecture Notes in Control and Information Sciences. Berlin, Germany: Springer-Verlag, 1999, vol. 247, pp. 69-92.
5. X. Xia and A. S. I. Zinober, "Periodic orbits from delta-modulation of stable linear systems," IEEE Trans. Autom. Control, vol. 49, pp. 1376-1380, 2004.
6. L. Fridman, "Singularly perturbed analysis of chattering in relay control systems," IEEE Trans. Autom. Control, vol. 47, no. 12, pp. 2079-2084, 2002.
7. K. H. Johansson, A. Rantzer, and K. J. Astrom, "Fast switches in relay feedback systems," Automatica, vol. 35, no. 4, pp. 539-552, 1999.
8. Y. B. Shtessel and L. Young-Ju, "New approach to chattering analysis in systems with sliding modes," in Proc. 35th IEEE Conf. Decision Contr., 1996, pp. 4014-4019.
9. E. Jury, "A simplified stability criterion for linear discrete systems," Proc. IRE, vol. 50, no. 6, pp. 1493-1500, 1962.