The Barycentric Bernstein Form for Control Design

Tareq Hamadneh, Rafal Wisniewski

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

7 Citations (Scopus)

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
Article number8431599
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
Country/TerritoryUnited States
CityMilwaukee
Period27/06/201829/06/2018
Internet address

Keywords

  • Bernstein polynomial
  • certificates of positivity
  • control design
  • inclusion isotonicity
  • stability

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