Further input-to-state stability subtleties for discrete-time systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

71 Downloads (Pure)

Abstract

This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.
Original languageEnglish
Title of host publicationProceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom
Place of PublicationLondon
PublisherInstitution of Engineering and Technology (IET)
Pages613-619
ISBN (Print)978-184600-0386
Publication statusPublished - 2010

Fingerprint

Lyapunov functions

Cite this

Lazar, M., Heemels, W. P. M. H., & Teel, A. R. (2010). Further input-to-state stability subtleties for discrete-time systems. In Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom (pp. 613-619). London: Institution of Engineering and Technology (IET).
Lazar, M. ; Heemels, W.P.M.H. ; Teel, A.R. / Further input-to-state stability subtleties for discrete-time systems. Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom. London : Institution of Engineering and Technology (IET), 2010. pp. 613-619
@inproceedings{eadf41b5998047c794f54d8ac9ca05c7,
title = "Further input-to-state stability subtleties for discrete-time systems",
abstract = "This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.",
author = "M. Lazar and W.P.M.H. Heemels and A.R. Teel",
year = "2010",
language = "English",
isbn = "978-184600-0386",
pages = "613--619",
booktitle = "Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom",
publisher = "Institution of Engineering and Technology (IET)",
address = "United Kingdom",

}

Lazar, M, Heemels, WPMH & Teel, AR 2010, Further input-to-state stability subtleties for discrete-time systems. in Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom. Institution of Engineering and Technology (IET), London, pp. 613-619.

Further input-to-state stability subtleties for discrete-time systems. / Lazar, M.; Heemels, W.P.M.H.; Teel, A.R.

Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom. London : Institution of Engineering and Technology (IET), 2010. p. 613-619.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Further input-to-state stability subtleties for discrete-time systems

AU - Lazar, M.

AU - Heemels, W.P.M.H.

AU - Teel, A.R.

PY - 2010

Y1 - 2010

N2 - This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.

AB - This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.

M3 - Conference contribution

SN - 978-184600-0386

SP - 613

EP - 619

BT - Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom

PB - Institution of Engineering and Technology (IET)

CY - London

ER -

Lazar M, Heemels WPMH, Teel AR. Further input-to-state stability subtleties for discrete-time systems. In Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom. London: Institution of Engineering and Technology (IET). 2010. p. 613-619