Constrained interpolation-based control for polytopic uncertain systems

H. N. Nguyen; S. Olaru; P. O. Gutman; M. Hovd

doi:10.1109/CDC.2011.6161524

Constrained interpolation-based control for polytopic uncertain systems

H. N. Nguyen
, S. Olaru
, P. O. Gutman
, M. Hovd

Automatic Control Dept.
INRIA Institut National de Recherche en Informatique et en Automatique
Technion - Israel Institute of Technology
Norwegian University of Science and Technology

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

Résumé

In this paper, we consider the regulation problem for uncertain and time-varying linear discrete-time systems with bounded input and bounded state. By using an interpolation technique it is shown that, the convex hull of a set of invariant ellipsoids is also invariant. Feasibility and robustly and asymptotically stable closed-loop behavior are assured by minimizing an appropriate objective function. Moreover we show that the control value can be computed by solving nonlinear equations.

langue originale	Anglais
titre	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Editeur	Institute of Electrical and Electronics Engineers Inc.
Pages	4961-4966
Nombre de pages	6
ISBN (imprimé)	9781612848006
Les DOIs	https://doi.org/10.1109/CDC.2011.6161524
état	Publié - 1 janv. 2011
Modification externe	Oui
Evénement	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, États-Unis Durée: 12 déc. 2011 → 15 déc. 2011

Série de publications

Nom	Proceedings of the IEEE Conference on Decision and Control
ISSN (imprimé)	0743-1546
ISSN (Electronique)	2576-2370

Une conférence

Une conférence	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pays/Territoire	États-Unis
La ville	Orlando, FL
période	12/12/11 → 15/12/11

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10.1109/CDC.2011.6161524

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Nguyen, H. N., Olaru, S., Gutman, P. O., & Hovd, M. (2011). Constrained interpolation-based control for polytopic uncertain systems. Dans 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (p. 4961-4966). Article 6161524 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161524

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title = "Constrained interpolation-based control for polytopic uncertain systems",

abstract = "In this paper, we consider the regulation problem for uncertain and time-varying linear discrete-time systems with bounded input and bounded state. By using an interpolation technique it is shown that, the convex hull of a set of invariant ellipsoids is also invariant. Feasibility and robustly and asymptotically stable closed-loop behavior are assured by minimizing an appropriate objective function. Moreover we show that the control value can be computed by solving nonlinear equations.",

author = "Nguyen, \{H. N.\} and S. Olaru and Gutman, \{P. O.\} and M. Hovd",

year = "2011",

month = jan,

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doi = "10.1109/CDC.2011.6161524",

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isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4961--4966",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

}

Nguyen, HN, Olaru, S, Gutman, PO & Hovd, M 2011, Constrained interpolation-based control for polytopic uncertain systems. Dans 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161524, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., p. 4961-4966, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, États-Unis, 12/12/11. https://doi.org/10.1109/CDC.2011.6161524

Constrained interpolation-based control for polytopic uncertain systems. / Nguyen, H. N.; Olaru, S.; Gutman, P. O. et al.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 4961-4966 6161524 (Proceedings of the IEEE Conference on Decision and Control).

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

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N2 - In this paper, we consider the regulation problem for uncertain and time-varying linear discrete-time systems with bounded input and bounded state. By using an interpolation technique it is shown that, the convex hull of a set of invariant ellipsoids is also invariant. Feasibility and robustly and asymptotically stable closed-loop behavior are assured by minimizing an appropriate objective function. Moreover we show that the control value can be computed by solving nonlinear equations.

AB - In this paper, we consider the regulation problem for uncertain and time-varying linear discrete-time systems with bounded input and bounded state. By using an interpolation technique it is shown that, the convex hull of a set of invariant ellipsoids is also invariant. Feasibility and robustly and asymptotically stable closed-loop behavior are assured by minimizing an appropriate objective function. Moreover we show that the control value can be computed by solving nonlinear equations.

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Y2 - 12 December 2011 through 15 December 2011

ER -

Nguyen HN, Olaru S, Gutman PO, Hovd M. Constrained interpolation-based control for polytopic uncertain systems. Dans 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 4961-4966. 6161524. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161524

Constrained interpolation-based control for polytopic uncertain systems

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