Optimal decentralized control design with disturbance decoupling

Petros G. Voulgaris

Kybernetika (2002)

  • Volume: 38, Issue: 2, page [197]-208
  • ISSN: 0023-5954

Abstract

top
In this paper we present an input-output point of view for the problem of closed loop norm minimization of stable plants when a decentralized structure and a disturbance decoupling property are imposed on the controller. We show that this problem is convex and present approaches to its solution in the optimal ℓ 1 sense in the nontrivial case which is when the block off- diagonal terms of the plant have more columns than rows.

How to cite

top

Voulgaris, Petros G.. "Optimal decentralized control design with disturbance decoupling." Kybernetika 38.2 (2002): [197]-208. <http://eudml.org/doc/33575>.

@article{Voulgaris2002,
abstract = {In this paper we present an input-output point of view for the problem of closed loop norm minimization of stable plants when a decentralized structure and a disturbance decoupling property are imposed on the controller. We show that this problem is convex and present approaches to its solution in the optimal $\ell _1$ sense in the nontrivial case which is when the block off- diagonal terms of the plant have more columns than rows.},
author = {Voulgaris, Petros G.},
journal = {Kybernetika},
keywords = {disturbance decoupling; optimal performance; $\ell _1$ optimal control; optimal control; disturbance decoupling; optimal performance},
language = {eng},
number = {2},
pages = {[197]-208},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal decentralized control design with disturbance decoupling},
url = {http://eudml.org/doc/33575},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Voulgaris, Petros G.
TI - Optimal decentralized control design with disturbance decoupling
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 2
SP - [197]
EP - 208
AB - In this paper we present an input-output point of view for the problem of closed loop norm minimization of stable plants when a decentralized structure and a disturbance decoupling property are imposed on the controller. We show that this problem is convex and present approaches to its solution in the optimal $\ell _1$ sense in the nontrivial case which is when the block off- diagonal terms of the plant have more columns than rows.
LA - eng
KW - disturbance decoupling; optimal performance; $\ell _1$ optimal control; optimal control; disturbance decoupling; optimal performance
UR - http://eudml.org/doc/33575
ER -

References

top
  1. Boyd S. P., Barratt C. H., Linear Controller Design: Limits of Performance, Prentice Hall, Englewood Cliffs, N. J. 1991 Zbl0748.93003
  2. Conway J. B., A Course in Functional Analysis, Springer–Verlag, New York 1990 Zbl0706.46003MR1070713
  3. Cuhna N. O. Da, Polak E., 10.1016/0022-247X(67)90025-X, J. Math. Anal. Appl. 19 (1967), 103–124 (1967) MR0216346DOI10.1016/0022-247X(67)90025-X
  4. Francis B. A., A Course in H ∞ Control Theory, (Lecture Notes in Control and Information Sciences 88.) Springer–Verlag, New York 1987 MR0932459
  5. Dahleh M. A., Diaz-Bobillo I. J., Control of Uncertain Systems: A Linear Programming Approach, Prentice Hall, Englewood Cliffs, N. J. 1995 Zbl0838.93007
  6. Gundes A. N., Desoer C. A., Algebraic Theory of Linear Feedback Systems with Full and Decentralized Compensators, Springer–Verlag, Heidelberg 1990 MR1055359
  7. Goodwin G. C., Seron M. M., Salgado M. E., ℋ 2 design of decentralized controllers, In: Proc. American Control Conference, San Diego 1999 
  8. Khammash M., Solution of the ℓ 1 optimal control problem without zero interpolation, In: Proc. Control Decision Conference, Kobe 1996; IEEE Trans. Automat. Control, to appear (1996) 
  9. Kučera V., Discrete Linear Control, Wiley, Chichester 1979 Zbl0762.93060MR0573447
  10. Linnemann A., Wang Q., 10.1016/0005-1098(93)90067-4, Automatica 29 (1993), 735–744 (1993) Zbl0771.93072MR1217792DOI10.1016/0005-1098(93)90067-4
  11. Salapaka M. V., Khammash M., Dahleh M., Solution of MIMO ℋ 2 / ℓ 1 problem without zero interpolation, In: Proc. Control Decision Conference, San Diego 1997 
  12. Ünyelioģlu K. A., Özgüner U., ℋ ∞ sensitivity minimization using decentralized feedback: 2-input 2-output systems, Systems Control Lett. (1994), 99–109 (1994) MR1261849
  13. Qi X., Khammash M. H., Salapaka M. V., Optimal controller synthesis with multiple objectives, In: Proc. 2001 American Control Conference, Arlington 2001, pp. 2730–2735 
  14. Qi X., Khammash M. H., Salapaka M. V., A Matlab package for multiobjective control synthesis, In: IEEE Conference on Decision and Control 2001, to appear 
  15. Quek C. K., Loh A. P., 10.1109/9.566667, IEEE Trans. Automat. Control 42 (1997), 549–553 (1997) MR1442592DOI10.1109/9.566667
  16. Woude J. W. van der, 10.1016/0167-6911(87)90003-X, Systems Control Lett. 9 (1987), 7–16 (1987) MR0894721DOI10.1016/0167-6911(87)90003-X
  17. Youla D. C., Jabr H. A., Bongiorno J. J., 10.1109/TAC.1976.1101223, Part 2: The multivariable case. IEEE Trans. Automat. Control AC-21 (1976), 319–338 (1976) Zbl0339.93035MR0446637DOI10.1109/TAC.1976.1101223

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.