| Title:
|
On the structure at infinity of linear delay systems with application to the disturbance decoupling problem (English) |
| Author:
|
Rabah, Rabah |
| Author:
|
Malabre, Michel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
35 |
| Issue:
|
6 |
| Year:
|
1999 |
| Pages:
|
[668]-680 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The disturbance decoupling problem is studied for linear delay systems. The structural approach is used to design a decoupling precompensator. The realization of the given precompensator by static state feedback is studied. Using various structural and geometric tools, a detailed description of the feedback is given, in particular, derivative of the delayed disturbance can be needed in the realization of the precompensator. (English) |
| Keyword:
|
linear delay system |
| Keyword:
|
static state feedback |
| Keyword:
|
decoupling problem |
| Keyword:
|
disturbance |
| MSC:
|
93B51 |
| MSC:
|
93B52 |
| MSC:
|
93C05 |
| MSC:
|
93C23 |
| MSC:
|
93C73 |
| idZBL:
|
Zbl 1274.93108 |
| idMR:
|
MR1747968 |
| . |
| Date available:
|
2009-09-24T19:29:05Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135317 |
| . |
| Reference:
|
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| Reference:
|
[2] Malabre M., Rabah R.: On infinite zeros for infinite dimensional systems.In: Progress in Systems and Control Theory 3, Realiz. Model. in Systems Theory, Vol. 1, Birkhaüser, Boston 1990, pp. 19–206 MR 1115331 |
| Reference:
|
[3] Malabre M., Rabah R.: Structure at infinity, model matching and disturbance rejection for linear systems with delays.Kybernetika 29 (1993), 5, 485–498 Zbl 0805.93008, MR 1264881 |
| Reference:
|
[4] Moog C.: Inversion, découplage, poursuite de modèle des systèmes non linéaires.PhD Thesis, ENSM, Nantes 1987 |
| Reference:
|
[5] Picard P., Lafay J.-F., Kučera V.: Model matching for linear systems with delays.In: Proc. of 13th IFAC Congress, San Francisco 1996, Vol. D, pp. 183–188 |
| Reference:
|
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| Reference:
|
[7] Rabah R.: Structural properties and controllability for delay systems of neutral type.In: Proc. of the IFAC Conference on System Structure and Control, Nantes 1995, pp. 354–359 |
| Reference:
|
[8] Rabah R., Malabre M.: Structure at infinity for delay systems revisited.In: Proc. of IMACS and IEEE–SMC Multiconference CESA’96, Symposium on Modelling, Analysis and Simulation, Lille 1996, pp. 87–90 |
| Reference:
|
[9] Rabah R., Malabre M.: A note on decoupling for linear infinite dimensional systems.In: Proc. 4th IFAC Conf. on System Structure and Control, Bucharest 1997, pp. 78–83 |
| Reference:
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[10] Rabah R., Malabre M.: The structure at infinity of linear delay systems and the row–by–row decoupling problem.In: Proc. of 7th IEEE Mediterranean Conference on Control and Automation, Haifa 1999, pp. 1845–1854 |
| Reference:
|
[11] Sename O., Rabah R., Lafay J.-F.: Decoupling without prediction of linear systems with delays: a structural approach.Systems Control Lett. 25 (1995), 387–395 Zbl 0877.93053, MR 1343224, 10.1016/0167-6911(94)00086-B |
| Reference:
|
[12] Silverman L. M., Kitapçi A.: System structure at infinity.In: Colloque National CNRS, Développement et Utilisation d’Outils et Modèles Mathématiques en Automatique des Systèmes et Traitement du Signal, Belle–Ile 1983, Ed. CNRS, Vol. 3, pp. 413–424 Zbl 0529.93018, MR 0733951 |
| Reference:
|
[13] Tsoi A. C.: Recent advances in the algebraic system theory of delay differential equations.In: Recent Theoretical Developments in Control (M. J. Gregson, ed.), Academic Press, New York 1978, pp. 67–127 Zbl 0417.93003, MR 0534622 |
| Reference:
|
[14] Wonham W. M.: Linear Multivariable Control: A Geometric Approach.Third edition. Springer–Verlag, New York 1985 Zbl 0609.93001, MR 0770574 |
| . |
