Algorithm for Bernstein Polynomial Control Design

Tareq Hamadneh, Rafael Wisniewski

Research output: Contribution to conference without publisher/journalConference abstract for conferenceResearchpeer-review

5 Citations (Scopus)


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.
Original languageEnglish
Publication date2018
Number of pages7
Publication statusPublished - 2018
EventIFAC Conference on Analysis and Design of Hybrid Systems - University of Oxford, Oxford, United Kingdom
Duration: 11 Jul 201813 Jul 2018


ConferenceIFAC Conference on Analysis and Design of Hybrid Systems
LocationUniversity of Oxford
CountryUnited Kingdom
Internet address


  • Bernstein basis
  • certificates of positivity
  • control design
  • stability
  • subdivision of simplex

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