Barycentric Bernstein Form for Control Design

Tareq Hamadneh, Rafal Wisniewski

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Abstract

In this paper, an algorithm for computing a polynomial control and a polynomial Lyapunov function in the simplicial Bernstein form is developed. This ensures asymptotic stability of the designed feedback system. To this end, we provide certificates of positivity for polynomials in the simplicial Bernstein form. Subsequently, the state space is partitioned into simplices. On each simplex, we simultaneously compute Lyapunov and control functions. With this control, the equilibrium is asymptotically stable.
Original languageEnglish
Title of host publication2018 Annual American Control Conference (ACC)
Number of pages6
PublisherIEEE
Publication date16 Aug 2018
Pages3738-3743
ISBN (Print)978-1-5386-5429-3
ISBN (Electronic)978-1-5386-5428-6
DOIs
Publication statusPublished - 16 Aug 2018
Event2018 American Control Conference: 2018 American Control Conference - Wisconsin Center, Milwaukee, United States
Duration: 27 Jun 201829 Jun 2018
http://acc2018.a2c2.org/
http://acc2018.a2c2.org/

Conference

Conference2018 American Control Conference
LocationWisconsin Center
CountryUnited States
CityMilwaukee
Period27/06/201829/06/2018
Internet address

Cite this

Hamadneh, T., & Wisniewski, R. (2018). Barycentric Bernstein Form for Control Design. In 2018 Annual American Control Conference (ACC) (pp. 3738-3743). IEEE. https://doi.org/10.23919/ACC.2018.8431599
Hamadneh, Tareq ; Wisniewski, Rafal. / Barycentric Bernstein Form for Control Design. 2018 Annual American Control Conference (ACC). IEEE, 2018. pp. 3738-3743
@inproceedings{d94fc9d06b024437b253d139800941dd,
title = "Barycentric Bernstein Form for Control Design",
abstract = "In this paper, an algorithm for computing a polynomial control and a polynomial Lyapunov function in the simplicial Bernstein form is developed. This ensures asymptotic stability of the designed feedback system. To this end, we provide certificates of positivity for polynomials in the simplicial Bernstein form. Subsequently, the state space is partitioned into simplices. On each simplex, we simultaneously compute Lyapunov and control functions. With this control, the equilibrium is asymptotically stable.",
author = "Tareq Hamadneh and Rafal Wisniewski",
year = "2018",
month = "8",
day = "16",
doi = "10.23919/ACC.2018.8431599",
language = "English",
isbn = "978-1-5386-5429-3",
pages = "3738--3743",
booktitle = "2018 Annual American Control Conference (ACC)",
publisher = "IEEE",
address = "United States",

}

Hamadneh, T & Wisniewski, R 2018, Barycentric Bernstein Form for Control Design. in 2018 Annual American Control Conference (ACC). IEEE, pp. 3738-3743, 2018 American Control Conference, Milwaukee, United States, 27/06/2018. https://doi.org/10.23919/ACC.2018.8431599

Barycentric Bernstein Form for Control Design. / Hamadneh, Tareq; Wisniewski, Rafal.

2018 Annual American Control Conference (ACC). IEEE, 2018. p. 3738-3743.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

TY - GEN

T1 - Barycentric Bernstein Form for Control Design

AU - Hamadneh, Tareq

AU - Wisniewski, Rafal

PY - 2018/8/16

Y1 - 2018/8/16

N2 - In this paper, an algorithm for computing a polynomial control and a polynomial Lyapunov function in the simplicial Bernstein form is developed. This ensures asymptotic stability of the designed feedback system. To this end, we provide certificates of positivity for polynomials in the simplicial Bernstein form. Subsequently, the state space is partitioned into simplices. On each simplex, we simultaneously compute Lyapunov and control functions. With this control, the equilibrium is asymptotically stable.

AB - In this paper, an algorithm for computing a polynomial control and a polynomial Lyapunov function in the simplicial Bernstein form is developed. This ensures asymptotic stability of the designed feedback system. To this end, we provide certificates of positivity for polynomials in the simplicial Bernstein form. Subsequently, the state space is partitioned into simplices. On each simplex, we simultaneously compute Lyapunov and control functions. With this control, the equilibrium is asymptotically stable.

U2 - 10.23919/ACC.2018.8431599

DO - 10.23919/ACC.2018.8431599

M3 - Article in proceeding

SN - 978-1-5386-5429-3

SP - 3738

EP - 3743

BT - 2018 Annual American Control Conference (ACC)

PB - IEEE

ER -

Hamadneh T, Wisniewski R. Barycentric Bernstein Form for Control Design. In 2018 Annual American Control Conference (ACC). IEEE. 2018. p. 3738-3743 https://doi.org/10.23919/ACC.2018.8431599