Model Predictive Output Integral Discrete-Time Sliding-Mode Control

  • Qingsong XuEmail author
  • Kok Kiong Tan
Part of the Advances in Industrial Control book series (AIC)


This chapter presents a control scheme termed model predictive output integral discrete-time sliding-mode control (MPOIDSMC) to achieve a precise positioning for a piezoelectric actuation stage.


Tracking Error Model Predictive Control Flexure Hinge Output Tracking Error High Order Dynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Bartoszewicz, A.: Discrete-time quasi-sliding-mode control strategies. IEEE Trans. Ind. Electron. 45(5), 633–637 (1998)CrossRefGoogle Scholar
  2. 2.
    Furuta, K.: Sliding mode control of a discrete system. Syst. Control Lett. 14(2), 145–152 (1990)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Garcia-Gabin, W., Zambrano, D., Camacho, E.F.: Sliding mode predictive control of a solar air conditioning plant. Control Eng. Pract. 17(6), 652–663 (2009)CrossRefGoogle Scholar
  4. 4.
    Ha, Q.P., Trinh, H., Nguyen, H.T., Tuan, H.D.: Dynamic output feedback sliding-mode control using pole placement and linear functional observers. IEEE Trans. Ind. Electron. 50(5), 1030–1037 (2003)CrossRefGoogle Scholar
  5. 5.
    Kim, M.H., Inman, D.J.: Reduction of observation spillover in vibration suppression using a sliding mode observer. J. Vib. Control 7(7), 1087–1105 (2001)CrossRefzbMATHGoogle Scholar
  6. 6.
    Li, Y.F., Wikander, J.: Model reference discrete-time sliding mode control of linear motor precision servo systems. Mechatronics 14(7), 835–851 (2004)CrossRefGoogle Scholar
  7. 7.
    Mihoub, M., Nouri, A.S., Ben Abdennour, R.: A chattering free second order discrete sliding mode observer: an experimentation on a chemical reactor. In: Proceedings of the 18th Mediterranean Conference on Control and Automation, pp. 739–744 (2010)Google Scholar
  8. 8.
    Nguyen, T., Su, W.C., Gajic, Z.: Singular perturbation analysis of discrete-time output feedback sliding mode control with disturbance attenuation. In: Proceedings of the American Control Conference, pp. 757–762 (2009)Google Scholar
  9. 9.
    Pai, M.C., Sinha, A.: Sliding mode control of vibration in a flexible structure via estimated states and \({H}_\infty /\mu \) techniques. In: Proceedings of the American Control Conference, pp. 1118–1123 (2000)Google Scholar
  10. 10.
    Thein, M.W.L.: A discrete time variable structure observer with overlapping boundary layers. In: Proceedings of the American Control Conference, pp. 2633–2638 (2002)Google Scholar
  11. 11.
    Wang, D.A., Huang, Y.M.: Application of discrete-time variable structure control in the vibration reduction of a flexible structure. J. Sound Vib. 261(3), 483–501 (2003)CrossRefzbMATHGoogle Scholar
  12. 12.
    Wills, A.G., Bates, D., Fleming, A.J., Ninness, B., Moheimani, S.O.R.: Model predictive control applied to constraint handling in active noise and vibration control. IEEE Trans. Control Syst. Technol. 16(1), 3–12 (2008)CrossRefGoogle Scholar
  13. 13.
    Wu, L., Gao, H., Wang, C.: Quasi sliding mode control of differential linear repetitive processes with unknown input disturbance. IEEE Trans. Ind. Electron. 58(7), 3059–3068 (2011)CrossRefGoogle Scholar
  14. 14.
    Xiao, L., Su, H., Chu, J.: Sliding mode prediction tracking control design for uncertain systems. Asian J. Control 9(3), 317–325 (2007)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Xu, J.X., Abidi, K.: A discrete-time integral sliding mode control approach for output tracking with state estimation. In: Proceedings of the 17th IFAC World Congress, pp. 14,199–14,204 (2008)Google Scholar
  16. 16.
    Xu, J.X., Abidi, K.: Discrete-time output integral sliding-mode control for a piezomotor-driven linear motion stage. IEEE Trans. Ind. Electron. 55(11), 3917–3926 (2008)CrossRefGoogle Scholar
  17. 17.
    Zhu, Z., Xia, Y., Fu, M.: Adaptive sliding mode control for attitude stabilization with actuator saturation. IEEE Trans. Ind. Electron. 58(10), 4898–4907 (2011)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Electromechanical EngineeringUniversity of MacauMacauChina
  2. 2.Department of Electrical and Computer EngineeringNational University of SingaporeSingaporeSingapore

Personalised recommendations