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

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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.
Originele taal-2Engels
TitelProceedings of the 52nd IEEE Conference on Decision and Control (CDC), 10-13 December 2013, Florence, Italy
Plaats van productieFlorence
UitgeverijInstitute of Electrical and Electronics Engineers
DOI's
StatusGepubliceerd - 2013

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Zwart, H. J., Firooznia, A., Ploeg, J., & Wouw, van de, 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), 10-13 December 2013, Florence, Italy Florence: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2013.6760345
Zwart, H.J. ; Firooznia, A. ; Ploeg, J. ; Wouw, van de, N. / Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning. Proceedings of the 52nd IEEE Conference on Decision and Control (CDC), 10-13 December 2013, Florence, Italy. Florence : Institute of Electrical and Electronics Engineers, 2013.
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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.",
author = "H.J. Zwart and A. Firooznia and J. Ploeg and {Wouw, van de}, N.",
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Zwart, HJ, Firooznia, A, Ploeg, J & Wouw, van de, 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), 10-13 December 2013, Florence, Italy. Institute of Electrical and Electronics Engineers, Florence. https://doi.org/10.1109/CDC.2013.6760345

Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning. / Zwart, H.J.; Firooznia, A.; Ploeg, J.; Wouw, van de, N.

Proceedings of the 52nd IEEE Conference on Decision and Control (CDC), 10-13 December 2013, Florence, Italy. Florence : Institute of Electrical and Electronics Engineers, 2013.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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PY - 2013

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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.

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Zwart HJ, Firooznia A, Ploeg J, Wouw, van de N. 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), 10-13 December 2013, Florence, Italy. Florence: Institute of Electrical and Electronics Engineers. 2013 https://doi.org/10.1109/CDC.2013.6760345