Advanced search
Publication Cover
International Journal of Control Volume 89, 2016 - Issue 9: Adaptive Sliding Mode Control and Observation
Submit an article Journal homepage
1,475
Views
61
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive uniform finite-/fixed-time convergent second-order sliding-mode control

Michael BasinDepartment of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, San Nicolas de los Garza, Mexico;ITMO University, Saint-Petersburg, RussiaCorrespondence[email protected]
View further author information
,
Chandrasekhara Bharath PanathulaDepartment of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, AL, United StatesView further author information
&
Yuri ShtesselDepartment of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, AL, United StatesView further author information
Pages 1777-1787 | Received 05 Jun 2015, Accepted 27 Apr 2016, Published online: 05 Aug 2016

References

  • Alwi, H., & Edwards, C. (2013). An adaptive sliding mode differentiator for actuator oscillatory failure case reconstruction. Automatica, 49, 642–651.
  • Bartolini, G., Levant, A., Plestan, F., Taleb, M., & Punta, E. (2013). Adaptation of sliding modes. IMA Journal of Mathematical Control and Information, 30, 885–900.
  • Bartolini, G., Pisano, A., Punta, E., & Usai, E. (2003). A survey of applications of second order sliding mode control to mechanical systems. International Journal of Control, 76, 875–892.
  • Basin, M., Panathula, C.B., & Shtessel, Y. (2015). Continuous second-order sliding mode control: Convergence time estimation. Proceedings of 54th IEEE conference on Decision and Control (pp. 5408–5413), Osaka, Japan.
  • Cruz-Zavala, E., Moreno, J.A., & Fridman, L.M. (2011). Uniform robust exact differentiator. IEEE Transactions on Automatic Control, 56, 2727–2733.
  • Edwards, C., & Spurgeon, S. (1998). Sliding mode control: Theory and applications, London: Taylor and Francis.
  • Kochalummoottil, J., Shtessel, Y., Moreno, J., & Fridman, L. (2011). Adaptive twist sliding mode control: A Lyapunov design. Proceedings of 50th IEEE conference on Decision and Control (pp. 7623–7628), Orlando, FL.
  • Levant, A. (1993). Sliding order and sliding accuracy in sliding mode control. International Journal of Control, 58, 1247–1263.
  • Levant, A. (2003). Higher-order sliding modes, differentiation and output-feedback control. International Journal of Control, 76, 924–941.
  • Moreno, J.A., & Osorio, M. (2012). Strict Lyapunov function for super-twisting algorithm. IEEE Transactions on Automatic Control, 57, 1035–1040.
  • Plestan, F., Shtessel, Y., Bregeault, V., & Poznyak, A. (2010). New methodologies for adaptive sliding mode control. International Journal of Control, 83, 1907–1919.
  • Plestan, F., Shtessel, Y., Bregeault, V., & Poznyak, A. (2013). Sliding mode control with gain adaptation: Application to an electropneumatic actuator. Control Engineering Practice, 21, 679–688.
  • Polyakov, A. (2012). Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57, 2106–2110.
  • Polyakov, A., & Fridman, L. (2014). Stability notions and Lyapunov functions for sliding mode control systems. Journal of The Franklin Institute, 351, 1831–1865.
  • Shtessel, Y., Edwards, C., Fridman, L., & Levant, A. (2014). Sliding mode control and observation. New York, NY : Birkhauser.
  • Shtessel, Y., Taleb, M., & Plestan, F. (2012). A novel adaptive-gain super-twisting sliding mode controller: Methodology and application. Automatica, 48, 759–769.
  • Utkin, V.I., & Poznyak, A.S. (2013). Adaptive sliding mode control with application to super-twisting algorithm: Equivalent control method. Automatica, 49, 39–47.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.