Output feedback problems for a class of nonlinear systems

Sergej Čelikovský; Javier Ruiz; A. J. Sapiens; Jorge A. Torres Muñoz

Kybernetika (2003)

  • Volume: 39, Issue: 4, page [389]-414
  • ISSN: 0023-5954

Abstract

top
The paper deals with the construction of the output feedback controllers for the systems that are transformable into a simpler form via coordinate change and static state feedback and, at the same time, via (possibly different) coordinate change and output injection. Illustrative examples are provided to stress the major obstacles in applying the above scheme, especially as far as its global aspects are concerned. The corresponding results are then applied to the problem of the real-time control of the water-storing plant. Using the methods developed in the theoretical part of the paper, the control of the water levels is designed to handle the unknown influx of the water into the first tank using measurements of water levels only. Simulations results are presented showing good performance of the designed controller. Some preliminary laboratory experiments have shown promising results of the real time implementation as well.

How to cite

top

Čelikovský, Sergej, et al. "Output feedback problems for a class of nonlinear systems." Kybernetika 39.4 (2003): [389]-414. <http://eudml.org/doc/33653>.

@article{Čelikovský2003,
abstract = {The paper deals with the construction of the output feedback controllers for the systems that are transformable into a simpler form via coordinate change and static state feedback and, at the same time, via (possibly different) coordinate change and output injection. Illustrative examples are provided to stress the major obstacles in applying the above scheme, especially as far as its global aspects are concerned. The corresponding results are then applied to the problem of the real-time control of the water-storing plant. Using the methods developed in the theoretical part of the paper, the control of the water levels is designed to handle the unknown influx of the water into the first tank using measurements of water levels only. Simulations results are presented showing good performance of the designed controller. Some preliminary laboratory experiments have shown promising results of the real time implementation as well.},
author = {Čelikovský, Sergej, Ruiz, Javier, Sapiens, A. J., Torres Muñoz, Jorge A.},
journal = {Kybernetika},
keywords = {output feedback; nonlinear systems; output regulations; output feedback; nonlinear system; output regulations},
language = {eng},
number = {4},
pages = {[389]-414},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Output feedback problems for a class of nonlinear systems},
url = {http://eudml.org/doc/33653},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Čelikovský, Sergej
AU - Ruiz, Javier
AU - Sapiens, A. J.
AU - Torres Muñoz, Jorge A.
TI - Output feedback problems for a class of nonlinear systems
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 4
SP - [389]
EP - 414
AB - The paper deals with the construction of the output feedback controllers for the systems that are transformable into a simpler form via coordinate change and static state feedback and, at the same time, via (possibly different) coordinate change and output injection. Illustrative examples are provided to stress the major obstacles in applying the above scheme, especially as far as its global aspects are concerned. The corresponding results are then applied to the problem of the real-time control of the water-storing plant. Using the methods developed in the theoretical part of the paper, the control of the water levels is designed to handle the unknown influx of the water into the first tank using measurements of water levels only. Simulations results are presented showing good performance of the designed controller. Some preliminary laboratory experiments have shown promising results of the real time implementation as well.
LA - eng
KW - output feedback; nonlinear systems; output regulations; output feedback; nonlinear system; output regulations
UR - http://eudml.org/doc/33653
ER -

References

top
  1. Atassi A. N., Khalil H. K., 10.1109/9.788534, IEEE Trans. Automat. Control 44 (1999), 1672–1687 (1999) Zbl0958.93079MR1709863DOI10.1109/9.788534
  2. Atassi A. N., Khalil H. K., 10.1109/9.920793, IEEE Trans. Automat. Control 46 (2001), 742–746 Zbl1055.93064MR1833028DOI10.1109/9.920793
  3. Bacciotti A., Local Stabilizability of Nonlinear Control Systems, World Scientific, Singapore 1992 Zbl0757.93061MR1148363
  4. Bacciotti A., Rosier L., Liapunov Functions and Stability in Control Theory, Springer, London 2001 Zbl1078.93002MR1826052
  5. Lopez-Morales V., Čelikovský S., Constructive dynamic output feedback stabilization of nonlinear systems, In: Proc. 38th IEEE Conference on Decision and Control, Phoenix 1999, pp. 4885–4890 (1999) 
  6. Gauthier J. P., Hammouri, H., Orthman S., 10.1109/9.256352, IEEE Trans. Automat. Control 37 (1992), 875–880 (1992) MR1164571DOI10.1109/9.256352
  7. Hartman P., Ordinary Differential Equations, Wiley, New York 1964 Zbl1009.34001MR0171038
  8. Isidori A., Nonlinear Systems, Third edition. Springer, New York 1995 Zbl1203.93178MR1410988
  9. Jo N. H., Seo J. H., 10.1080/002071700219641, Internat. J. Control 73 (2000), 292–302 Zbl1038.93077MR1767045DOI10.1080/002071700219641
  10. Krener A. J., Nonlinear stabilizability and detectability, In: Systems and Networks: Mathematical Theory and Applications, Vol. I (U. Helmke, R. Mennicken, and J. Saurer, eds.), Akademie Verlag, Berlin 1994, pp. 231–250 (1994) Zbl0816.93067MR1288114
  11. Krener A. J., Isidori A., Linearization by output injection and nonlinear observers, Systems Control Lett. 3 (1983), 47–52 (1983) Zbl0524.93030MR0713426
  12. Krener A. J., Respondek W., 10.1137/0323016, SIAM J. Control Optim. 23 (1985), 197–216 (1985) Zbl0569.93035MR0777456DOI10.1137/0323016
  13. Khalil H. K., Nonlinear Systems, MacMillan, New York 1992 Zbl1140.93456MR1201326
  14. Marino R., Tomei P., 10.1016/0167-6911(91)90036-E, Systems Control Lett. 17 (1991), 115–121 (1991) Zbl0747.93069MR1120756DOI10.1016/0167-6911(91)90036-E
  15. Marino R., Tomei P., Nonlinear Control Design: Geometric, Adaptive and Robust, Prentice Hall, London 1995 Zbl0833.93003
  16. Mazenc F., Praly, L., Dayawansa W. P., 10.1016/0167-6911(94)90041-8, Systems Control Lett. 23 (1994), 119–125 (1994) Zbl0816.93068MR1287604DOI10.1016/0167-6911(94)90041-8
  17. Nijmeijer H., Shaft A. van der, Nonlinear Dynamical Control Systems, Springer, Berlin 1990 MR1047663
  18. Sastry S., Nonlinear Systems, Analysis, Stability and Control. Springer, New York 1999 Zbl0924.93001MR1693648
  19. Teel A., 10.1016/0167-6911(92)90112-6, Systems Control Lett. 19 (1992), 187–192 (1992) Zbl0763.93039MR1180506DOI10.1016/0167-6911(92)90112-6
  20. Teel A., Praly L., 10.1016/0167-6911(94)90029-9, Systems Control Lett. 22 (1994), 313–325 (1994) MR1274906DOI10.1016/0167-6911(94)90029-9
  21. Vaněček A., Čelikovský S., Control Systems: from Linear Analysis to the Synthesis of Chaos, Prentice Hall, London 1996 MR1481725
  22. Vidyasagar M., 10.1109/TAC.1980.1102376, IEEE Trans. Automat. Control AC-25 (1980), 504–509 (1980) MR0571757DOI10.1109/TAC.1980.1102376
  23. Zeitz M., 10.1016/0167-6911(87)90021-1, Systems Control Lett. 9 (1987), 149–156 (1987) Zbl0624.93012MR0906234DOI10.1016/0167-6911(87)90021-1

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.