Control to facet for polynomial systems

Christoffer Sloth, Rafael Wisniewski

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

This paper presents a solution to the control to facet problem for arbitrary polynomial vector fields defined on simplices. The novelty of the work is to use Bernstein coeficients of polynomials for determining certificates of positivity. Specifically, the constraints that are set up for the controller design are solved by searching for polynomials in Bernstein form. This allows the controller design problem to be formulated as a linear programming problem. Examples are provided that demonstrate the eficiency of the method for designing controls for polynomial systems.

Original languageEnglish
Title of host publicationProceedings of the 17th International Conference on Hybrid Systems : Computation and Control (Part of CPS Week)
Number of pages10
PublisherAssociation for Computing Machinery
Publication date2014
Pages123-132
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event17th International Conference on Hybrid Systems: Computation and Control, HSCC 2014, Part of the 7th Cyber Physical Systems, CPS Week 2014 - Berlin, Germany
Duration: 15. Apr 201417. Apr 2014

Conference

Conference17th International Conference on Hybrid Systems: Computation and Control, HSCC 2014, Part of the 7th Cyber Physical Systems, CPS Week 2014
Country/TerritoryGermany
CityBerlin
Period15/04/201417/04/2014
SponsorACM SIGBED

Keywords

  • Bernstein polynomials
  • Certificates of positivity
  • Control to face
  • Polynomial systems

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