Skip to main content

Variable structure control of nonlinear sampled data systems by second order sliding modes

  • Chapter
  • First Online:
Variable structure systems, sliding mode and nonlinear control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 247))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Bartolini, A. Ferrara, V.I. Utkin, “Adaptive sliding mode control in discrete time systems”, Automatica, vol. 31, no. 6, pp. 769–773, 1995

    Article  MATH  MathSciNet  Google Scholar 

  2. G. Bartolini, A. Ferrara, E. Usai, “Applications of a sub-optimal discontinuous control algorithm for uncertain second order systems”, Int. J. of Robust and Nonlinear Control, vol. 7, no. 4, pp. 299–319, 1997

    Article  MATH  MathSciNet  Google Scholar 

  3. G. Bartolini, A. Ferrara, E. Usai, “Output Tracking Control of Uncertain Nonlinear Second-Order Systems”, Automatica, vol. 33, no. 12, pp. 2203–2212, 1997

    Article  MATH  MathSciNet  Google Scholar 

  4. G. Bartolini, A. Ferrara, A. Pisano, E. Usai, “Adaptive reduction of the control effort in chattering free sliding mode control of uncertain nonlinear systems”, App. Math. and Computer Science, vol. 8, no. 1, pp. 51–71, 1998

    MATH  MathSciNet  Google Scholar 

  5. G. Bartolini, A. Ferrara, E. Usai, “Chattering Avoidance by Second Order Sliding Mode Control”, IEEE Trans. Automat. Contr., vol. 43, no. 2, pp. 241–246, 1998

    Article  MATH  MathSciNet  Google Scholar 

  6. G. Bartolini, A. Pisano, E. Usai, “Digital Second Order Sliding Mode Control of SISO Uncertain Nonlinear Systems”, Proc. of the 1998 American Control Conference ACC'98, vol. 1, pp. 119–124, Philadelfia, Pensylvania, June 1998

    Article  Google Scholar 

  7. S.V. Drakunov, V.I. Utkin, “Sliding mode in dynamic systems”, Int. Journal of Control, vol. 55, pp. 1029–1037, 1990

    Article  MathSciNet  Google Scholar 

  8. S.V. Drakunov, U. Ozguner, W.C. Su, K.D. Young, “Sliding Mode with Chattering Reduction in Sampled Data Systems”, Proc. of the 32th Conf. on Decision and Control-CDC'93, pp. 2452–2457

    Google Scholar 

  9. S.V. Drakunov, U. Ozguner, W.C. Su, “Implementation of Variable Structure Control for Sampled-Data Systems”, in Robust Control via variable structure and Lyapunov techniques. F. Garofalo and L. Glielmo eds., Lecture Notes in Control and Information Science no. 217, pp. 87–106, Springer-Verlag, London, 1996

    Google Scholar 

  10. K. Furuta, “Sliding mode control of a discrete system”, System and Control Letters, vol. 14, no. 2, pp. 145–152, 1990

    Article  MATH  MathSciNet  Google Scholar 

  11. K. Furuta, Y. Pan, “VSS controller design for discrete time systems”, Control Theory and Advanced Technology, vol. 10, no. 4/1, pp. 669–687, 1994

    MathSciNet  Google Scholar 

  12. A. Levant (Levantovsky L.V.), “Sliding order and sliding accuracy in sliding mode control”, Int. Journal of Control, vol. 58, no. 6, pp. 1247–1263, 1993

    Article  MATH  Google Scholar 

  13. C. Milosvaljevic, “General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable systems”, Automation Remote Control, vol. 43, no. 1, pp. 307–314, 1985

    Google Scholar 

  14. V.I. Utkin, S.V. Drakunov, “On Discrete-Time Sliding Mode Control”, Proc. of the IFAC Symposium on Nonlinear Control Systems-NOLCOS, pp. 484–489, Capri, Italy, 1989, San Antonio, Texas, December 1993

    Google Scholar 

  15. V.I. Utkin, Sliding Modes In Control And Optimization, Springer Verlag, Berlin, 1992

    MATH  Google Scholar 

  16. V.I. Utkin, “Sliding Mode Control in Discrete-Time and Difference Systems”, in Variable Structure and Lyapunov Control. A.S.I. Zinober ed., pp. 83–102, Springer-Verlag, London, 1993

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K.D. Young PhD Ü. Özgüner PhD

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag

About this chapter

Cite this chapter

Bartolini, G., Pisano, A., Usai, E. (1999). Variable structure control of nonlinear sampled data systems by second order sliding modes. In: Young, K., Özgüner, Ü. (eds) Variable structure systems, sliding mode and nonlinear control. Lecture Notes in Control and Information Sciences, vol 247. Springer, London. https://doi.org/10.1007/BFb0109970

Download citation

  • DOI: https://doi.org/10.1007/BFb0109970

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-197-9

  • Online ISBN: 978-1-84628-540-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics