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.
Original language English 2018 Annual American Control Conference (ACC) 6 IEEE 16 Aug 2018 3738-3743 978-1-5386-5429-3 978-1-5386-5428-6 https://doi.org/10.23919/ACC.2018.8431599 Published - 16 Aug 2018 2018 American Control Conference: 2018 American Control Conference - Wisconsin Center, Milwaukee, United StatesDuration: 27 Jun 2018 → 29 Jun 2018http://acc2018.a2c2.org/http://acc2018.a2c2.org/

Conference

Conference 2018 American Control Conference Wisconsin Center United States Milwaukee 27/06/2018 → 29/06/2018

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
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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",
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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

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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.

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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