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Journal of Control Science and Engineering
Volume 2019, Article ID 5208612, 7 pages
https://doi.org/10.1155/2019/5208612
Research Article

Desired Terminal State Concept in Model Predictive Control: A Case Study

University of Pardubice, Pardubice 530 02, Czech Republic

Correspondence should be addressed to Daniel Honc; zc.ecpu@cnoh.leinad

Received 20 February 2019; Accepted 21 April 2019; Published 8 May 2019

Academic Editor: Radek Matušů

Copyright © 2019 František Dušek and Daniel Honc. 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. A. E. Bryson Jr., “Optimal control—1950 to 1985,” IEEE Control Systems Magazine, vol. 16, no. 3, pp. 26–33, 1996. View at Publisher · View at Google Scholar · View at Scopus
  2. H. Kwakernaak, R. Sivan, and M. Morari, Linear Optimal Control Systems, Wiley-Interscience, New York, NY, USA, 1972. View at MathSciNet
  3. B. Hassibi, A. H. Sayed, T. Kailath, and ., Indefinite-quadratic estimation and control: a unified approach to H2 and H [infinity] theories, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania, 1999.
  4. R. E. Kalman, “A new approach to linear filtering and prediction problems,” Journal of Fluids Engineering, vol. 82, no. 1, pp. 35–45, 1960. View at Publisher · View at Google Scholar
  5. J. Rossiter and J. Rossiter, Model-based Predictive Control – A Practical Approach, CRC Press, 2003. View at Publisher · View at Google Scholar
  6. E. F. Camacho and C. Bordons, Model Predictive Control, vol. 2nd, Springer, 2007.
  7. J. Maciejowski, Predictive Control with Constraints, Prentice Hall, 2002.
  8. F. Borrelli, A. Bemporad, and M. Morari, Predictive control for linear and hybrid systems, Cambridge University Press, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  9. M. Yaghoobi, “Directionality of model predictive control and its effect on the stability of unstable systems,” in Proceedings of the 2nd International Conference on Computational Intelligence, Modelling and Simulation, CIMSim 2010, pp. 247–251, Indonesia, September 2010. View at Scopus
  10. D. E. Quevedo and D. Nesic, “Input-to-state stability of packetized predictive control over unreliable networks affected by packet-dropouts,” Institute of Electrical and Electronics Engineers Transactions on Automatic Control, vol. 56, no. 2, pp. 370–375, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  11. J. Yali, Z. Yuanyuan, and N. Yugang, “Robust explicit model predictive control for uncertain multirate system,” in Proceedings of the 31st Chinese Control Conference, pp. 4114–4119, Hefei, China, 2012.
  12. X.-H. Liang and K. Yamada, “On stability of a class of output tracking systems under model predictive control,” in Proceedings of the 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010, pp. 3825–3830, China, July 2010. View at Scopus
  13. S. Yu, T. Qu, and H. Chen, “Some properties of nonlinear model predictive control with guaranteed nominal stability,” in Proceedings of the 2013 2nd International Conference on Measurement, Information and Control, ICMIC 2013, pp. 1350–1353, China, August 2013. View at Scopus
  14. S. Yu, T. Qu, and H. Chen, “Stability of infinite horizon MPC with incremental input constraints,” in Proceedings of the 32nd Chinese Control Conference, CCC 2013, pp. 4125–4130, 2013. View at Scopus
  15. W. Yang, D. Xu, C. Zhang, and W. Yan, “A novel robust model predictive control approach with pseudo terminal designs,” Information Sciences, vol. 481, pp. 128–140, 2019. View at Publisher · View at Google Scholar · View at MathSciNet
  16. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, “Constrained model predictive control: stability and optimality,” Automatica, vol. 36, no. 6, pp. 789–814, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. A. Bemporad, “A predictive controller with artificial Lyapunov function for linear systems with input/state constraints,” Automatica, vol. 34, no. 10, pp. 1255–1260, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  18. T. A. Badgwell, “Robust model predictive control of stable linear systems,” International Journal of Control, vol. 68, no. 4, pp. 797–818, 1997. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. Z. Wan and M. V. Kothare, “Efficient robust constrained model predictive control with a time varying terminal constraint set,” Systems & Control Letters, vol. 48, no. 5, pp. 375–383, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. W. Yang, G. Feng, and T. Zhang, “Decreasing-horizon robust model predictive control with specified settling time to a terminal constraint set,” Asian Journal of Control, vol. 18, no. 2, pp. 664–673, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  21. F. Duek, D. Honc, and F. Dušek, “Static compensator for non-square MIMO systems,” in Proceedings of the 8th International Scientific-Technical Conference Process Control 2008, Kouty n. Desnou, Czech Republic, 2008.
  22. H. Nakanishi and T. Namerikawa, “Optimal traffic signal control for alleviation of congestion based on traffic density prediction by model predictive control,” in Proceedings of the 55th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2016, pp. 1273–1278, Tsukuba, Japan, 2016. View at Scopus
  23. Y. Luo, D. Li, and Y. Xi, “Model predictive control with swithing strategy for a train system,” in Proceedings of the 13th International Conference on Control Automation Robotics & Vision (ICARCV), pp. 913–918, Singapore, 2014. View at Scopus