Barycentric Bernstein Form for Control Design

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.
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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
DOI
Publication statusPublished - 16 Aug 2018
Publication categoryResearch
Peer-reviewedYes
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
LandUnited States
ByMilwaukee
Periode27/06/201829/06/2018
Internetadresse

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