Title:
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On the structure at infinity of linear delay systems with application to the disturbance decoupling problem (English) |
Author:
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Rabah, Rabah |
Author:
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Malabre, Michel |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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35 |
Issue:
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6 |
Year:
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1999 |
Pages:
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[668]-680 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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:
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linear delay system |
Keyword:
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static state feedback |
Keyword:
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decoupling problem |
Keyword:
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disturbance |
MSC:
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93B51 |
MSC:
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93B52 |
MSC:
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93C05 |
MSC:
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93C23 |
MSC:
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93C73 |
idZBL:
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Zbl 1274.93108 |
idMR:
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MR1747968 |
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Date available:
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2009-09-24T19:29:05Z |
Last updated:
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2015-03-27 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/135317 |
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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:
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[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:
|
[6] Pandolfi L.: Disturbance decoupling and invariant subspaces for delay systems.Appl. Math. Optim. 14 (1986), 55–72 Zbl 0587.93039, MR 0826852, 10.1007/BF01442228 |
Reference:
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[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:
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[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:
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[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:
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[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:
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Reference:
|
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