Towards synthesis of polynomial controllers -  a multi-affine approach

Nicolas Ribard; Rafael Wisniewski; Christoffer Sloth

Towards synthesis of polynomial controllers - a multi-affine approach

Nicolas Ribard, Rafael Wisniewski, Christoffer Sloth

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

Abstract

In the paper, we strive to develop an algorithm that simultaneously computes a polynomial control and a polynomial Lyapunov function. This ensures asymptotic stability of the designed feedback system. The above problem is translated to a certificate of positivity. To this end, we use the representation of the given control system in Bernstein basis. Subsequently, the control synthesis problem is reduced to finite number of evaluations of a polynomial on vertices of cubes in the space of parameters representing admissible controls and Lyapunov functions.

Originalsprog	Engelsk
Titel	Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
Antal sider	5
Forlag	University of Minnesota Press
Publikationsdato	2016
Sider	798-802
ISBN (Elektronisk)	978-1-5323-1358-5
Status	Udgivet - 2016
Begivenhed	22nd International Symposium on Mathematical Theory of Networks and Systems - University of Minnesota, Minneapolis, USA Varighed: 12 jul. 2016 → 15 jul. 2016 Konferencens nummer: 22 https://sites.google.com/a/umn.edu/mtns-2016/

Konference

Konference	22nd International Symposium on Mathematical Theory of Networks and Systems
Nummer	22
Lokation	University of Minnesota
Land/Område	USA
By	Minneapolis
Periode	12/07/2016 → 15/07/2016
Internetadresse	https://sites.google.com/a/umn.edu/mtns-2016/

Adgang til dokumentet

http://hdl.handle.net/11299/181518

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Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Projekter: Projekt › Forskning

Citationsformater

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title = "Towards synthesis of polynomial controllers - a multi-affine approach",

abstract = "In the paper, we strive to develop an algorithm that simultaneously computes a polynomial control and a polynomial Lyapunov function. This ensures asymptotic stability of the designed feedback system. The above problem is translated to a certificate of positivity. To this end, we use the representation of the given control system in Bernstein basis. Subsequently, the control synthesis problem is reduced to finite number of evaluations of a polynomial on vertices of cubes in the space of parameters representing admissible controls and Lyapunov functions.",

author = "Nicolas Ribard and Rafael Wisniewski and Christoffer Sloth",

year = "2016",

language = "English",

pages = "798--802",

booktitle = "Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems",

publisher = "University of Minnesota Press",

note = "22nd International Symposium on Mathematical Theory of Networks and Systems, MTNS 2016 ; Conference date: 12-07-2016 Through 15-07-2016",

url = "https://sites.google.com/a/umn.edu/mtns-2016/",

}

Ribard, N, Wisniewski, R & Sloth, C 2016, Towards synthesis of polynomial controllers - a multi-affine approach. i Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems. University of Minnesota Press, s. 798-802, 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, USA, 12/07/2016. <http://hdl.handle.net/11299/181518 >

Towards synthesis of polynomial controllers - a multi-affine approach. / Ribard, Nicolas; Wisniewski, Rafael; Sloth, Christoffer.
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems. University of Minnesota Press, 2016. s. 798-802.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

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AU - Wisniewski, Rafael

AU - Sloth, Christoffer

N1 - Conference code: 22

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AB - In the paper, we strive to develop an algorithm that simultaneously computes a polynomial control and a polynomial Lyapunov function. This ensures asymptotic stability of the designed feedback system. The above problem is translated to a certificate of positivity. To this end, we use the representation of the given control system in Bernstein basis. Subsequently, the control synthesis problem is reduced to finite number of evaluations of a polynomial on vertices of cubes in the space of parameters representing admissible controls and Lyapunov functions.

M3 - Article in proceeding

SP - 798

EP - 802

BT - Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems

PB - University of Minnesota Press

T2 - 22nd International Symposium on Mathematical Theory of Networks and Systems

Y2 - 12 July 2016 through 15 July 2016

ER -

Towards synthesis of polynomial controllers - a multi-affine approach

Abstract

Konference

Adgang til dokumentet

AUB Link

Fingeraftryk

Projekter

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

Citationsformater