Algorithm for Bernstein Polynomial Control Design

Tareq Hamadneh, Rafael Wisniewski

Publikation: Konferencebidrag uden forlag/tidsskriftKonferenceabstrakt til konferenceForskningpeer review

1 Citation (Scopus)

Resumé

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 Lyapunov 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.
OriginalsprogEngelsk
Publikationsdato2018
Antal sider1
DOI
StatusUdgivet - 2018
BegivenhedIFAC Conference on Analysis and Design of Hybrid Systems - University of Oxford, Oxford, Storbritannien
Varighed: 11 jul. 201813 jul. 2018
http://www.cs.ox.ac.uk/conferences/ADHS18/

Konference

KonferenceIFAC Conference on Analysis and Design of Hybrid Systems
LokationUniversity of Oxford
LandStorbritannien
ByOxford
Periode11/07/201813/07/2018
Internetadresse

Fingerprint

Polynomials
Lyapunov functions
Control systems

Citer dette

Hamadneh, T., & Wisniewski, R. (2018). Algorithm for Bernstein Polynomial Control Design. 283. Abstract fra IFAC Conference on Analysis and Design of Hybrid Systems, Oxford, Storbritannien. https://doi.org/10.1016/j.ifacol.2018.08.048
Hamadneh, Tareq ; Wisniewski, Rafael. / Algorithm for Bernstein Polynomial Control Design. Abstract fra IFAC Conference on Analysis and Design of Hybrid Systems, Oxford, Storbritannien.1 s.
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abstract = "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.",
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Hamadneh, T & Wisniewski, R 2018, 'Algorithm for Bernstein Polynomial Control Design' IFAC Conference on Analysis and Design of Hybrid Systems, Oxford, Storbritannien, 11/07/2018 - 13/07/2018, s. 283. https://doi.org/10.1016/j.ifacol.2018.08.048

Algorithm for Bernstein Polynomial Control Design. / Hamadneh, Tareq; Wisniewski, Rafael.

2018. 283 Abstract fra IFAC Conference on Analysis and Design of Hybrid Systems, Oxford, Storbritannien.

Publikation: Konferencebidrag uden forlag/tidsskriftKonferenceabstrakt til konferenceForskningpeer review

TY - ABST

T1 - Algorithm for Bernstein Polynomial Control Design

AU - Hamadneh, Tareq

AU - Wisniewski, Rafael

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

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Hamadneh T, Wisniewski R. Algorithm for Bernstein Polynomial Control Design. 2018. Abstract fra IFAC Conference on Analysis and Design of Hybrid Systems, Oxford, Storbritannien. https://doi.org/10.1016/j.ifacol.2018.08.048