Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning

Heiko J. Zwart; A Firooznia; J. Ploeg; N. van de Wouw

doi:10.1109/CDC.2013.6760345

Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning

Heiko J. Zwart, A Firooznia, J. Ploeg, N. van de Wouw

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

7 Citations (Scopus)

5 Downloads (Pure)

Abstract

This paper considers the optimal control problem for a class of infinite-dimensional systems, namely spatially invariant systems. A common assumption in the scope of such optimal control problem is the exponential stabilizability of the infinite-dimensional plant. We propose sufficient conditions for the optimizability of spatially invariant systems that are not exponentially stabilizable. The practical significance of this problem setting is motivated by vehicular platooning, for which it is desired to design controllers that attenuate the effect of disturbances, both in time and space, i.e., over the vehicle index.

Original language	Undefined
Title of host publication	Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013
Place of Publication	USA
Publisher	IEEE
Pages	3038-3042
Number of pages	5
ISBN (Print)	978-1-4673-5716-6
DOIs	https://doi.org/10.1109/CDC.2013.6760345
Publication status	Published - Dec 2013
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: 10 Dec 2013 → 13 Dec 2013 Conference number: 52

Publication series

Name
Publisher	IEEE Control Systems Society

Conference

Conference	52nd IEEE Conference on Decision and Control, CDC 2013
Abbreviated title	CDC
Country/Territory	Italy
City	Florence
Period	10/12/13 → 13/12/13

Keywords

EWI-24219
METIS-302596
IR-88728

Access to Document

10.1109/CDC.2013.6760345

Cite this

@inproceedings{fe5cda52639249f8ae165f93bddc198e,

title = "Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning",

abstract = "This paper considers the optimal control problem for a class of infinite-dimensional systems, namely spatially invariant systems. A common assumption in the scope of such optimal control problem is the exponential stabilizability of the infinite-dimensional plant. We propose sufficient conditions for the optimizability of spatially invariant systems that are not exponentially stabilizable. The practical significance of this problem setting is motivated by vehicular platooning, for which it is desired to design controllers that attenuate the effect of disturbances, both in time and space, i.e., over the vehicle index.",

keywords = "EWI-24219, METIS-302596, IR-88728",

author = "Zwart, {Heiko J.} and A Firooznia and J. Ploeg and {van de Wouw}, N.",

note = "eemcs-eprint-24219 ; 52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",

year = "2013",

month = dec,

doi = "10.1109/CDC.2013.6760345",

language = "Undefined",

isbn = "978-1-4673-5716-6",

publisher = "IEEE",

pages = "3038--3042",

booktitle = "Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013",

address = "United States",

}

Zwart, HJ, Firooznia, A, Ploeg, J & van de Wouw, N 2013, Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning. in Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013. IEEE, USA, pp. 3038-3042, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 10/12/13. https://doi.org/10.1109/CDC.2013.6760345

Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning. / Zwart, Heiko J.; Firooznia, A; Ploeg, J. et al.
Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013. USA: IEEE, 2013. p. 3038-3042.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning

AU - Zwart, Heiko J.

AU - Firooznia, A

AU - Ploeg, J.

AU - van de Wouw, N.

N1 - Conference code: 52

PY - 2013/12

Y1 - 2013/12

N2 - This paper considers the optimal control problem for a class of infinite-dimensional systems, namely spatially invariant systems. A common assumption in the scope of such optimal control problem is the exponential stabilizability of the infinite-dimensional plant. We propose sufficient conditions for the optimizability of spatially invariant systems that are not exponentially stabilizable. The practical significance of this problem setting is motivated by vehicular platooning, for which it is desired to design controllers that attenuate the effect of disturbances, both in time and space, i.e., over the vehicle index.

AB - This paper considers the optimal control problem for a class of infinite-dimensional systems, namely spatially invariant systems. A common assumption in the scope of such optimal control problem is the exponential stabilizability of the infinite-dimensional plant. We propose sufficient conditions for the optimizability of spatially invariant systems that are not exponentially stabilizable. The practical significance of this problem setting is motivated by vehicular platooning, for which it is desired to design controllers that attenuate the effect of disturbances, both in time and space, i.e., over the vehicle index.

KW - EWI-24219

KW - METIS-302596

KW - IR-88728

U2 - 10.1109/CDC.2013.6760345

DO - 10.1109/CDC.2013.6760345

M3 - Conference contribution

SN - 978-1-4673-5716-6

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BT - Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013

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T2 - 52nd IEEE Conference on Decision and Control, CDC 2013

Y2 - 10 December 2013 through 13 December 2013

ER -