The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Robust observer design for time-delay systems: a Riccati equation approach

Anas Fattouh; Olivier Sename; Jean-Michel Dion

Kybernetika (1999)

  • Volume: 35, Issue: 6, page 753-764
  • ISSN: 0023-5954

Abstract

top
In this paper, a method for H ∞ observer design for linear systems with multiple delays in state and output variables is proposed. The designing method involves attenuating of the disturbance to a pre-specified level. The observer design requires solving certain algebraic Riccati equation. An example is given in order to illustrate the proposed method.

How to cite

top

Fattouh, Anas, Sename, Olivier, and Dion, Jean-Michel. "Robust observer design for time-delay systems: a Riccati equation approach." Kybernetika 35.6 (1999): 753-764. <http://eudml.org/doc/33460>.

@article{Fattouh1999,
abstract = {In this paper, a method for $H_\infty $ observer design for linear systems with multiple delays in state and output variables is proposed. The designing method involves attenuating of the disturbance to a pre-specified level. The observer design requires solving certain algebraic Riccati equation. An example is given in order to illustrate the proposed method.},
author = {Fattouh, Anas, Sename, Olivier, Dion, Jean-Michel},
journal = {Kybernetika},
keywords = {linear system; time delay; Riccati equation; robust observer design; linear system; time delay; Riccati equation; robust observer design},
language = {eng},
number = {6},
pages = {753-764},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust observer design for time-delay systems: a Riccati equation approach},
url = {http://eudml.org/doc/33460},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Fattouh, Anas
AU - Sename, Olivier
AU - Dion, Jean-Michel
TI - Robust observer design for time-delay systems: a Riccati equation approach
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 6
SP - 753
EP - 764
AB - In this paper, a method for $H_\infty $ observer design for linear systems with multiple delays in state and output variables is proposed. The designing method involves attenuating of the disturbance to a pre-specified level. The observer design requires solving certain algebraic Riccati equation. An example is given in order to illustrate the proposed method.
LA - eng
KW - linear system; time delay; Riccati equation; robust observer design; linear system; time delay; Riccati equation; robust observer design
UR - http://eudml.org/doc/33460
ER -

References

top
  1. Boyd S., Ghaoui L. EL, Feron E., Balakrishnan V., Linear matrix inequalities in system and control theory, SIAM Stud. Appl. Math. 1994 Zbl0816.93004MR1284712
  2. Choi H. H., Chung M. J., 10.1016/0005-1098(96)00014-3, Automatica 32 (1996), 1073–1075 (1996) MR1405466DOI10.1016/0005-1098(96)00014-3
  3. Choi H. H., Chung M. J., 10.1016/S0005-1098(96)00242-7, Automatica 33 (1997), 737–739 (1997) MR1448971DOI10.1016/S0005-1098(96)00242-7
  4. Fattouh A., Sename O., Dion J.-M., H ∞ Observer design for time–delay systems, In: Proc. of the 37th IEEE Conference on Decision and Control, Tampa 1998, pp. 4545–4546 (1998) 
  5. Fattouh A., Sename O., Dion J.-M., α –decay rate observer design for linear systems with delayed state, In: Proc. of the 8th European Control Conference, Karlsruhe 1999 
  6. Furukawa T., Shimemura E., 10.1080/00207178308932992, Internat. J. Control. 37 (1983), 553–565 (1983) Zbl0503.93050MR0703298DOI10.1080/00207178308932992
  7. Khargonekar P. P., Petersen I. R., Zhou K., 10.1109/9.50357, IEEE Trans. Automat. Control 35 (1990), 356–361 (1990) MR1044036DOI10.1109/9.50357
  8. Kolmanovskii V. B., Nosov V. R., Stability of Functional Differential Equation, Academic Press, New York 1986 MR0860947
  9. Lee E. B., Olbrot A., 10.1080/00207178108922582, Internat. J. Control. 34 (1981), 1061–1078 (1981) Zbl0531.93015MR0643872DOI10.1080/00207178108922582
  10. Lee J. H., Kim S. W., Kwon W. H., 10.1109/9.273356, IEEE Trans. Automat. Control 39 (1994), 159–162 (1994) MR1258692DOI10.1109/9.273356
  11. Niculescu S. I., Trofino–Neto A., Dion J.-M., Dugard L., Delay–dependent stability of linear systems with delayed state: An L, M.I. approach. In: Proc. of the 34th Conference on Decision and Control, New Orleans 1995, pp. 1495–1496 (1995) 
  12. Pearson A. E., Fiagbedzi Y. A., 10.1109/9.29412, IEEE Trans. Automat. Control 34 (1989), 775–777 (1989) Zbl0687.93011MR1000675DOI10.1109/9.29412
  13. Petersen I. R., Anderson B. D. O., Jonckheere E. A., 10.1002/rnc.4590010304, Internat. J. Robust and Nonlinear Control 1 (1991), 171–185 (1991) DOI10.1002/rnc.4590010304
  14. Ramos J. L., Pearson A. E., 10.1109/9.400473, IEEE Trans. Automat. Control 40 (1995), 1291–1294 (1995) Zbl0825.93084MR1344050DOI10.1109/9.400473
  15. Watanabe K., 10.1109/TAC.1986.1104336, IEEE Trans. Automat. Control 31 (1986), 543–550 (1986) Zbl0596.93009MR0839083DOI10.1109/TAC.1986.1104336
  16. Watanabe K., Ouchi T., 10.1080/0020718508961121, Internat. J. Control 41 (1985), 217–229 (1985) MR0775229DOI10.1080/0020718508961121
  17. Yao Y. X., Zhang Y. M., Kovacevic R., Parameterization of observers for time delay systems and its application in observer design, IEE Proc. Control Theory Appl. 143 (1996), 225–232 (1996) 
  18. Zhou K., Doyle J. C., Glover K., Robust and Optimal Control, Prentice–Hall, Englewood Cliffs, N. J. 1996 Zbl0999.49500

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.