428
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Discrete-time sliding mode control for uncertain systems with state and input delays

Pages 1501-1510 | Received 10 Aug 2007, Accepted 24 Sep 2009, Published online: 20 Oct 2010

References

  • Abidi , K , Xu , J-X and Xinghuo , Y . 2007 . On the Discrete-Time Integral Sliding-mode Control . IEEE Transactions on Automatic Control , 52 : 709 – 705 .
  • Boyd, S., Ghaoui, L.E., Feron, E., and Balakrishnan, V. (1994), Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, New York, Philadelphia: SIAM
  • Cheng , CC , Lin , MH and Hsiao , JM . 2000 . Sliding Mode Controllers Design for Linear Discrete-time Systems with Matching Perturbations . Automatica , 36 : 1205 – 1211 .
  • Furuta , K . 1990 . Sliding Mode Control of a Discrete Systems . System and Control Letters , 14 : 145 – 152 .
  • Gahinet , P , Nemirovski , A , Laub , AJ and Chilali , M . 1995 . LMI Control Toolbox , Natick : The MathWorks Inc .
  • Gao , WB , Hung , Y and Homaifa , A . 1995 . Discrete-Time Variable Structure Control Systems . IEEE Transactions on Industrial Electronics , 42 : 117 – 122 .
  • Garcia , JPF , Ribeiro , JMS , Silva , JJF and Marins , ES . 2005 . Continuous-Time and Discrete-Time Sliding Mode Control Accomplished using a Computer . IEE Proceedings of the Control Theory and Applications , 152 : 220 – 228 .
  • Gouaisbaut , F , Dambrine , M and Richard , JP . 2002 . Robust Control of Delay Systems: A Sliding Mode Control Design via LMI . System and Control Letters , 46 : 219 – 230 .
  • Hu, J.B., Shi, M.H., and Tian, Y.C. (2004), ‘A new Switching Function for Variable Structure Control’, in Proceedings of the 5th World Congress on Intelligent Control and Automation, pp. 1163–1166
  • Hung , JY , Gao , W and Hung , JC . 1993 . Variable Structure Control: A Survey . IEEE Transactions on Industrial Electronics , 40 : 2 – 22 .
  • Jafarov , EM . 2005 . Robust Sliding Mode Controllers Design Techniques for Stabilization of Multivariable Time-delay Systems with Parameter Perturbations and External Disturbances . International Journal of Systems Science , 36 : 433 – 444 .
  • Lee , PM and Oh , JH . 1998 . Discrete-Time Quasi-Sliding Mode Tracking Control of Uncertain Systems with Long Sampling Interval . International Journal of Systems Science , 19 : 899 – 906 .
  • Li , X and DeCarlo , RA . 2003 . Robust Sliding Mode Control of Uncertain Time Delay Systems . International Journal of Control , 76 : 1296 – 1305 .
  • Milosavljevic , D . 1985 . General Conditions for the Existence of a Quasi-Sliding Mode on the Switching Hyperplane in Discrete Variable Structure Systems . Automate Remote Control , 46 : 307 – 314 .
  • Monsees , G and Scherpen , JMA . 2002 . Adaptive Switching Gain for a Discrete-Time Sliding Mode Controller . International Journal of Control , 75 : 242 – 251 .
  • Pai , MC . 2008 . Discrete-Time Variable Structure Control for Robust Tracking and Model Following . Journal of the Chinese Institute of Engineers , 31 : 167 – 172 .
  • Sarpturk , SZ , Istefanopulos , Y and Kaynak , O . 1987 . On the Stability of Discrete-time Sliding Mode Control Systems . IEEE Transactions on Automatic Control , 32 : 930 – 937 .
  • Shi , P , Boukas , EK , Shi , Y and Agarwal , RK . 2003 . Optimal Guaranteed Cost Control of Uncertain Discrete Time-delay Systems . Journal of Computational and Applied Mathematics , 157 : 435 – 451 .
  • Su , WC , Drakunov , SV and Özgüner , Ü . 2000 . An O(T 2) Boundary Layer in Sliding Mode for Sampled-data System . IEEE Transactions on Automatic Control , 45 : 482 – 485 .
  • Utkin , VI . 1977 . Variable Structure Systems with Sliding Modes . IEEE Transactions on Automatic Control , 22 : 212 – 222 .
  • Xia , Y and Jia , Y . 2003 . Robust Sliding-mode Control for Uncertain Time-Delay Systems: An LMI Approach . IEEE Transactions on Automatic Control , 48 : 1086 – 1092 .
  • Xie , L . 1996 . Output Feedback Control of Systems with Parameter Uncertainty . International Journal of Control , 63 : 741 – 750 .
  • Yu , L and Gao , F . 2001 . Optimal Guaranteed Cost Control of Discrete-time Uncertain Systems with Both State and Input Delays . Journal of The Franklin Institute , 338 : 101 – 110 .

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:

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:

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.