Algorithm for Bernstein Polynomial Control Design

Tareq Hamadneh; Rafael Wisniewski

doi:10.1016/j.ifacol.2018.08.048

Algorithm for Bernstein Polynomial Control Design

Tareq Hamadneh, Rafael Wisniewski

Publikation: Konferencebidrag uden forlag/tidsskrift › Konferenceabstrakt til konference › Forskning › peer review

10 Citationer (Scopus)

Abstract

This paper considers control synthesis for polynomial control systems. The developed method leans upon Lyapunov stability and Bernstein certificates of positivity. We strive to develop an algorithm that computes a polynomial control and a polynomial Lyapunov function in the simplicial Bernstein form. Subsequently, we reduce the control synthesis problem to a finite number of evaluations of a polynomial within Bernstein coefficient bounds representing controls and Lyapunov functions. As a consequence, the equilibrium is asymptotically stable with this control.

Originalsprog	Engelsk
Publikationsdato	2018
Antal sider	7
DOI	https://doi.org/10.1016/j.ifacol.2018.08.048
Status	Udgivet - 2018
Begivenhed	IFAC Conference on Analysis and Design of Hybrid Systems - University of Oxford, Oxford, Storbritannien Varighed: 11 jul. 2018 → 13 jul. 2018 http://www.cs.ox.ac.uk/conferences/ADHS18/

Konference

Konference	IFAC Conference on Analysis and Design of Hybrid Systems
Lokation	University of Oxford
Land/Område	Storbritannien
By	Oxford
Periode	11/07/2018 → 13/07/2018
Internetadresse	http://www.cs.ox.ac.uk/conferences/ADHS18/

Adgang til dokumentet

10.1016/j.ifacol.2018.08.048

https://www.sciencedirect.com/journal/ifac-papersonline/vol/51/issue/16

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

Andre filer og links

http://www.scopus.com/inward/record.url?scp=85052664698&partnerID=8YFLogxK

Citationsformater

@conference{5a50757551804edaa7db14623fe0966d,

title = "Algorithm for Bernstein Polynomial Control Design",

abstract = "This paper considers control synthesis for polynomial control systems. The developed method leans upon Lyapunov stability and Bernstein certificates of positivity. We strive to develop an algorithm that computes a polynomial control and a polynomial Lyaponov function in the simplicial Bernstein form. Subsequently, we reduce the control synthesis problem to a finite number of evaluations of a polynomial within Bernstein coefficient bounds representing controls and Lyapunov functions. As a consequence, the equilibrium is asymptotically stable with this control.",

keywords = "Bernstein basis, certificates of positivity, control design, stability, subdivision of simplex",

author = "Tareq Hamadneh and Rafael Wisniewski",

year = "2018",

doi = "10.1016/j.ifacol.2018.08.048",

language = "English",

pages = "283--289",

note = "IFAC Conference on Analysis and Design of Hybrid Systems ; Conference date: 11-07-2018 Through 13-07-2018",

url = "http://www.cs.ox.ac.uk/conferences/ADHS18/",

}

TY - ABST

T1 - Algorithm for Bernstein Polynomial Control Design

AU - Hamadneh, Tareq

AU - Wisniewski, Rafael

PY - 2018

Y1 - 2018

N2 - This paper considers control synthesis for polynomial control systems. The developed method leans upon Lyapunov stability and Bernstein certificates of positivity. We strive to develop an algorithm that computes a polynomial control and a polynomial Lyaponov function in the simplicial Bernstein form. Subsequently, we reduce the control synthesis problem to a finite number of evaluations of a polynomial within Bernstein coefficient bounds representing controls and Lyapunov functions. As a consequence, the equilibrium is asymptotically stable with this control.

AB - This paper considers control synthesis for polynomial control systems. The developed method leans upon Lyapunov stability and Bernstein certificates of positivity. We strive to develop an algorithm that computes a polynomial control and a polynomial Lyaponov function in the simplicial Bernstein form. Subsequently, we reduce the control synthesis problem to a finite number of evaluations of a polynomial within Bernstein coefficient bounds representing controls and Lyapunov functions. As a consequence, the equilibrium is asymptotically stable with this control.

KW - Bernstein basis

KW - certificates of positivity

KW - control design

KW - stability

KW - subdivision of simplex

UR - http://www.scopus.com/inward/record.url?scp=85052664698&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.08.048

DO - 10.1016/j.ifacol.2018.08.048

M3 - Conference abstract for conference

SP - 283

EP - 289

T2 - IFAC Conference on Analysis and Design of Hybrid Systems

Y2 - 11 July 2018 through 13 July 2018

ER -

Algorithm for Bernstein Polynomial Control Design

Abstract

Konference

Adgang til dokumentet

AUB Link

Andre filer og links

Fingeraftryk

Citationsformater