Partial disturbance decoupling problem for structured transfer matrix systems by measurement feedback
Kybernetika (1999)
- Volume: 35, Issue: 4, page [473]-485
- ISSN: 0023-5954
Access Full Article
topAbstract
topHow to cite
topBaşer, Ulviye. "Partial disturbance decoupling problem for structured transfer matrix systems by measurement feedback." Kybernetika 35.4 (1999): [473]-485. <http://eudml.org/doc/33441>.
@article{Başer1999,
abstract = {Partial disturbance decoupling problems are equivalent to zeroing the first, say $k$ Markov parameters of the closed-loop system between the disturbance and controlled output. One might consider this problem when it is not possible to zero all the Markov parameters which is known as exact disturbance decoupling. Structured transfer matrix systems are linear systems given by transfer matrices of which the infinite zero order of each nonzero entry is known, while the associated infinite gains are unknown and assumed mutually independent. The aim in this paper is to derive the necessary and sufficient conditions for the generic solvability of the partial disturbance decoupling problem for structured transfer matrix systems, by dynamic output feedback. Generic solvability here means solvability for almost all possible values for the infinite gains of the nonzero transfer matrix entries. The conditions will be stated by generic essential orders which are defined in terms of minimal weight of the matchings in a bipartite graph associated with the structured transfer matrix systems.},
author = {Başer, Ulviye},
journal = {Kybernetika},
keywords = {transfer matrix system; dynamic output feedback; transfer matrix system; dynamic output feedback},
language = {eng},
number = {4},
pages = {[473]-485},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Partial disturbance decoupling problem for structured transfer matrix systems by measurement feedback},
url = {http://eudml.org/doc/33441},
volume = {35},
year = {1999},
}
TY - JOUR
AU - Başer, Ulviye
TI - Partial disturbance decoupling problem for structured transfer matrix systems by measurement feedback
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 4
SP - [473]
EP - 485
AB - Partial disturbance decoupling problems are equivalent to zeroing the first, say $k$ Markov parameters of the closed-loop system between the disturbance and controlled output. One might consider this problem when it is not possible to zero all the Markov parameters which is known as exact disturbance decoupling. Structured transfer matrix systems are linear systems given by transfer matrices of which the infinite zero order of each nonzero entry is known, while the associated infinite gains are unknown and assumed mutually independent. The aim in this paper is to derive the necessary and sufficient conditions for the generic solvability of the partial disturbance decoupling problem for structured transfer matrix systems, by dynamic output feedback. Generic solvability here means solvability for almost all possible values for the infinite gains of the nonzero transfer matrix entries. The conditions will be stated by generic essential orders which are defined in terms of minimal weight of the matchings in a bipartite graph associated with the structured transfer matrix systems.
LA - eng
KW - transfer matrix system; dynamic output feedback; transfer matrix system; dynamic output feedback
UR - http://eudml.org/doc/33441
ER -
References
top- Commault C., Dion J. M., Perez A., 10.1109/9.85072, IEEE Trans. Automat. Control AC–36 (1991), 884–887 (1991) Zbl0754.93023MR1109830DOI10.1109/9.85072
- Commault C., Dion J. M., Benahcene M., 10.1016/0005-1098(93)90010-Q, Automatica 6 (1993), 1463–1472 (1993) Zbl0791.93040MR1252963DOI10.1016/0005-1098(93)90010-Q
- Commault C., Dion J. M., Benahcene M., Decoupling and minimality of structured systems in a transfer matrix framework, In: Proc. IFAC Conference System Structure and Control, Nantes 1995, pp. 84–89 (1995)
- Commault C., Dion J. M., Hovelaque V., 10.1016/S0005-1098(96)00186-0, Automatica 3 (1997), 403–409 (1997) Zbl0878.93015MR1442558DOI10.1016/S0005-1098(96)00186-0
- Eldem V., Özbay H., Selbuz H., Özçaldiran K., 10.1137/S0363012995287659, SIAM J. Control Optim. 36 (1998), 1, 180–192 (1998) Zbl0915.93057MR1616553DOI10.1137/S0363012995287659
- Emre, E., Silverman L. H., 10.1109/TAC.1980.1102321, IEEE Trans. Automat. Control AC–25 (1980), 280–281 (1980) Zbl0432.93026MR0567391DOI10.1109/TAC.1980.1102321
- Malabre M., Garcia J. C. M., 10.1109/9.341810, IEEE Trans. Automat. Control 40 (1995), 2, 356–360 (1995) Zbl0823.93013MR1312912DOI10.1109/9.341810
- Reinschke K. J., Multivariable Control: A Graph Theoretic Approach, (Lecture Notes in Control and Information Sciences 108.) Springer–Verlag, Berlin 1988 Zbl0682.93006MR0962644
- Woude J. W. van der, On the structure at infinity of a structured system, Linear Algebra Appl. 148 (1991), 145–169 (1991) MR1090758
- Woude J. W. van der, Disturbance decoupling by measurement feedback for structured systems: a graph theoretic approach, In: Proc. 2nd European Control Conf. ECC’93, Groningen 1993, pp. 1132–1137 (1993)
- Woude J. W. van der, 10.1016/0005-1098(95)00157-3, Automatica 32 (1996), 357–363 (1996) MR1379418DOI10.1016/0005-1098(95)00157-3
- Willems J. C., Commault C., 10.1137/0319029, SIAM J. Control Optim. 19 (1981), 490–504 (1981) MR0618240DOI10.1137/0319029
- Wonham W. M., Linear Multivariable Control: A Geometric Approach, Third edition. Springer–Verlag, New York 1985 Zbl0609.93001MR0770574
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.