Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 409863, 9 pages
http://dx.doi.org/10.1155/2014/409863
Research Article

Memory State Feedback RMPC for Multiple Time-Delayed Uncertain Linear Systems with Input Constraints

1Department of Automatic Control, Xi’an Research Institute of High-Tech, Xi’an 710025, China
2College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China

Received 11 December 2013; Revised 1 March 2014; Accepted 13 March 2014; Published 13 April 2014

Academic Editor: Shuhui Bi

Copyright © 2014 Wei-Wei Qin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, “Constrained model predictive control: stability and optimality,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 36, no. 6, pp. 789–814, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. Y. G. Xi and D. W. Li, “Fundamental philosophy and status of qualitative synthesis of model predictive control,” Acta Automatica Sinica, vol. 34, no. 10, pp. 1225–1234, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. Y.-G. Xi, D.-W. Li, and S. Lin, “Model predictive control-current status and challenges,” Acta Automatica Sinica, vol. 39, no. 3, pp. 222–236, 2013. View at Google Scholar · View at MathSciNet
  4. M. V. Kothare, V. Balakrishnan, and M. Morari, “Robust constrained model predictive control using linear matrix inequalities,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 32, no. 10, pp. 1361–1379, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. W. H. Kwon, J. W. Kang, Y. S. Lee, and Y. S. Moon, “A simple receding horizon control for state delayed systems and its stability criterion,” Journal of Process Control, vol. 13, no. 6, pp. 539–551, 2003. View at Publisher · View at Google Scholar · View at Scopus
  6. P.-L. Liu, “State feedback stabilization of time-varying delay uncertain systems: a delay decomposition approach,” Linear Algebra and its Applications, vol. 438, no. 5, pp. 2188–2209, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. S. C. Jeong and P. Park, “Constrained MPC algorithm for uncertain time-varying systems with state-delay,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 50, no. 2, pp. 257–263, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  8. C. Briat, O. Sename, and J. F. Lafay, “Memory-resilient gain-scheduled state-feedback control of uncertain LTI/LPV systems with time-varying delays,” Systems & Control Letters, vol. 59, no. 8, pp. 451–459, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. F. Gouaisbaut and D. Peaucelle, “Delay-dependent robust stability of time delay systems,” in Proceedings of the 5th IFAC Symposium on Robust Control Design (ROCOND '06), pp. 453–458, Toulouse, France, July 2006. View at Scopus
  10. C.-Y. Kao and A. Rantzer, “Stability analysis of systems with uncertain time-varying delays,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 43, no. 6, pp. 959–970, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. D. H. Ji, J. H. Park, W. J. Yoo, and S. C. Won, “Robust memory state feedback model predictive control for discrete-time uncertain state delayed systems,” Applied Mathematics and Computation, vol. 215, no. 6, pp. 2035–2044, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. R. Dey, S. Ghosh, G. Ray, and A. Rakshit, “State feedback stabilization of uncertain linear time-delay systems: a nonlinear matrix inequality approach,” Numerical Linear Algebra with Applications, vol. 18, no. 3, pp. 351–361, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. Q. Wei-Wei, L. Gang, and Z. Zhiqiang, “Memory state feedback-based model predictive controller of time-delay systems with input constraints,” Journal of South China University of Technology (Natural Science Edition), vol. 40, no. 6, pp. 63–68, 2012. View at Google Scholar
  14. C.-L. Su, J.-C. Zhao, and P. Li, “Robust predictive control for a class of multiple time delay uncertain systems with nonlinear disturbance,” Acta Automatica Sinica, vol. 39, no. 5, pp. 644–649, 2013. View at Google Scholar · View at MathSciNet
  15. J.-C. Zhao, Y.-M. Fang, and L. I. Jian-Xiong, “Robust predictive control for a class of uncertain discrete system with multiple state delays,” in Proceedings of the 30th Chinese Control Conference (CCC '11), pp. 3372–3376, July 2011. View at Scopus
  16. Z. D. Wang, B. Huang, and H. Unbehauen, “Robust reliable control for a class of uncertain nonlinear state-delayed systems,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 35, no. 5, pp. 955–963, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet