Model following control system with time delays

Dazhong Wang; Shujing Wu; Wei Zhang; Guoqiang Wang; Fei Wu; Shigenori Okubo

Kybernetika (2016)

  • Volume: 52, Issue: 3, page 478-495
  • ISSN: 0023-5954

Abstract

top
Design of model following control system (MFCS) for nonlinear system with time delays and disturbances is discussed. In this paper, the method of MFCS will be extended to nonlinear system with time delays. We set the nonlinear part f ( v ( t ) ) of the controlled object as | | f ( v ( t ) ) | | ≤ α + β | | v ( t ) | | γ , and show the bounded of internal states by separating the nonlinear part into γ ≥ 0 . Some preliminary numerical simulations are provided to demonstrate the effectiveness of the proposed method.

How to cite

top

Wang, Dazhong, et al. "Model following control system with time delays." Kybernetika 52.3 (2016): 478-495. <http://eudml.org/doc/281538>.

@article{Wang2016,
abstract = {Design of model following control system (MFCS) for nonlinear system with time delays and disturbances is discussed. In this paper, the method of MFCS will be extended to nonlinear system with time delays. We set the nonlinear part $f(v(t))$ of the controlled object as $||f(v(t))||\le \alpha +\beta ||v(t)||^\gamma $, and show the bounded of internal states by separating the nonlinear part into $\gamma \ge 0$. Some preliminary numerical simulations are provided to demonstrate the effectiveness of the proposed method.},
author = {Wang, Dazhong, Wu, Shujing, Zhang, Wei, Wang, Guoqiang, Wu, Fei, Okubo, Shigenori},
journal = {Kybernetika},
keywords = {time delays; model following control system (MFCS); internal stable; nonlinear system; state predictive control; time-delay; model following control system (MFCS); TCP/AQM network; congestion control},
language = {eng},
number = {3},
pages = {478-495},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Model following control system with time delays},
url = {http://eudml.org/doc/281538},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Wang, Dazhong
AU - Wu, Shujing
AU - Zhang, Wei
AU - Wang, Guoqiang
AU - Wu, Fei
AU - Okubo, Shigenori
TI - Model following control system with time delays
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 3
SP - 478
EP - 495
AB - Design of model following control system (MFCS) for nonlinear system with time delays and disturbances is discussed. In this paper, the method of MFCS will be extended to nonlinear system with time delays. We set the nonlinear part $f(v(t))$ of the controlled object as $||f(v(t))||\le \alpha +\beta ||v(t)||^\gamma $, and show the bounded of internal states by separating the nonlinear part into $\gamma \ge 0$. Some preliminary numerical simulations are provided to demonstrate the effectiveness of the proposed method.
LA - eng
KW - time delays; model following control system (MFCS); internal stable; nonlinear system; state predictive control; time-delay; model following control system (MFCS); TCP/AQM network; congestion control
UR - http://eudml.org/doc/281538
ER -

References

top
  1. Akiyama, T., Hattor, H., Okubo, S., 10.1541/ieejeiss1987.118.4_497, IEEJ Trans. Electronics, Inform. Systems 118 (1998), 4, 497-502 (in Japaness). DOI10.1541/ieejeiss1987.118.4_497
  2. Boulkroune, A., M'Saad, M., Chekireb, H., 10.1016/j.ins.2010.08.034, Inform. Sci. 180 (2010), 24, 5041-5059. Zbl1205.93086MR2726676DOI10.1016/j.ins.2010.08.034
  3. Califano, C., Marquez-Martinez, L. A., Moog, C. H., 10.1109/tac.2011.2157405, IEEE Trans. Automat. Control 56 (2011), 9, 2213-2218. MR2865783DOI10.1109/tac.2011.2157405
  4. Cui, B. T., Lou, X. Y., 10.1016/j.chaos.2007.01.100, Chaos, Solitons, Fractals 39 (2009), 1, 288-294. Zbl1197.93135DOI10.1016/j.chaos.2007.01.100
  5. Imer, O., Basar, T., 10.3166/ejc.7.132-144, European J. Control 7 (2001), 132-144. DOI10.3166/ejc.7.132-144
  6. Lan, Y., Zhou, Y., 10.1007/s10957-012-0231-2, J. Optim. Theory Appl. 156 (2013), 153-166. Zbl1263.93099MR3019308DOI10.1007/s10957-012-0231-2
  7. Liu, P., Chiang, T. S., 10.1016/j.asoc.2012.04.025, Applied Soft Computing 12 (2012), 9, 2963-2972. DOI10.1016/j.asoc.2012.04.025
  8. Maiti, A., Pal, A., Samanta, G., 10.1016/j.amc.2007.11.011, Applied Math. Comput. 200 (2008), 189-203. Zbl1137.92366MR2421636DOI10.1016/j.amc.2007.11.011
  9. Ni, M., Li, G., 10.1111/j.1934-6093.2006.tb00293.x, Asian J. Control 8 (2006), 412-416. MR2382994DOI10.1111/j.1934-6093.2006.tb00293.x
  10. Okubo, S., 10.9746/sicetr1965.28.939, Trans. Soc. Instrument and Control Engrs. 28 (1992), 8, 939-946 (in Japaness). DOI10.9746/sicetr1965.28.939
  11. Pai, M., 10.1007/s12555-009-0307-4, Int. J. Control Automat. Syst. 7 (2009), 3, 381-387. DOI10.1007/s12555-009-0307-4
  12. Pai, M., 10.1016/j.jfranklin.2010.10.003, J. Frankl. Inst. 347 (2010), 1837-1849. Zbl1214.93029MR2739815DOI10.1016/j.jfranklin.2010.10.003
  13. Quan, Q., Yang, D., Cai, K., 10.3724/sp.j.1004.2010.01189, Acta Automat. Sin. 36 (2010), 8, 1189-1194. MR2768236DOI10.3724/sp.j.1004.2010.01189
  14. Saglam, C. O., Baran, E. A., Nergiz, A. O., Sabanovic, A., 10.1109/icmech.2011.5971262, In: Proc. 2011 IEEE International Conference on Mechatronics, Istanbul 2011. DOI10.1109/icmech.2011.5971262
  15. Srinathkumar, S., Model following control systems. Eigenstructure Control Algorithms: Applications to aircraft/rotorcraft handling qualities design., IET Digital Library, 2011. 
  16. Su, H., Chen, G., Wang, X., Lin, Z., 10.1016/j.automatica.2010.10.050, Automatica 47 (2011), 2, 368-375. Zbl1207.93006MR2878286DOI10.1016/j.automatica.2010.10.050
  17. Tadeuse, K., 10.2478/amcs-2013-0003, Int. J. Appl. Math. Comput. Sci. 23 (2013), 1, 29-33. MR3086469DOI10.2478/amcs-2013-0003
  18. Tsai, C. H., Wang, C. H., Lin, W. S., 10.1109/91.868952, IEEE Trans. Fuzzy Systems 8 (2000), 462-469. DOI10.1109/91.868952
  19. Wang, Y. S., Ma, Q. H., Zhu, Q., Liu, X. T., Zhao, L. H., 10.1016/j.apacoust.2013.07.001, Applied Acoustics 75 (2014), 1-9. DOI10.1016/j.apacoust.2013.07.001
  20. Wang, D., Okubo, S., 10.1541/ieejeiss.128.1657, IEEJ Trans. ELS. 128 (2008), 11, 1657-1663 (in Japaness). DOI10.1541/ieejeiss.128.1657
  21. Wang, D., Wu, S., Okubo, S., 10.2478/v10006-009-0020-8, Int. J. Appl. Math. Comput. Sci. 19 (2009), 2, 247-254. Zbl1167.93346DOI10.2478/v10006-009-0020-8
  22. Wang, Y. S., Shen, G. Q., Xing, Y. F., 10.1016/j.ymssp.2013.11.001, Mechanical Systems and Signal Processing 45 (2014), 1, 255-266. DOI10.1016/j.ymssp.2013.11.001
  23. Wu, H., 10.1109/tac.2004.825634, IEEE Trans. Automat. Control 49 (2004), 611-616. MR2049823DOI10.1109/tac.2004.825634
  24. Wu, S., Okubo, S., Wang, D., Design of a model following control system for nonlinear descriptor system in discrete time., Kybernetika 44 (2008), 4, 546-556. Zbl1173.93387MR2459072
  25. Xing, Y. F., Wang, Y. S., Shi, L., Guo, H., Chen, H., 10.1016/j.ymssp.2015.05.003, Mechanical Systems and Signal Processing 66-67 (2016), 875-892. DOI10.1016/j.ymssp.2015.05.003
  26. Yang, R., Wang, Y., 10.1016/j.automatica.2012.11.034, Automatica 49 (2013), 2, 390-401. MR3004704DOI10.1016/j.automatica.2012.11.034
  27. Ying, J., Yuan, Y., 10.1016/j.nonrwa.2012.08.020, Nonlinear Analysis: Real World Appl. 14 (2013), 1102-1113. MR2991137DOI10.1016/j.nonrwa.2012.08.020
  28. Zhang, T., Ge, S., 10.1016/j.automatica.2006.12.014, Automatica 43 (2007), 6, 1021-1033. Zbl1282.93152MR2306749DOI10.1016/j.automatica.2006.12.014

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.