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.
Originalsprog | Engelsk |
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Titel | 2018 Annual American Control Conference (ACC) |
Antal sider | 6 |
Forlag | IEEE |
Publikationsdato | 16 aug. 2018 |
Sider | 3738-3743 |
Artikelnummer | 8431599 |
ISBN (Trykt) | 978-1-5386-5429-3 |
ISBN (Elektronisk) | 978-1-5386-5428-6 |
DOI | |
Status | Udgivet - 16 aug. 2018 |
Begivenhed | 2018 American Control Conference: 2018 American Control Conference - Wisconsin Center, Milwaukee, USA Varighed: 27 jun. 2018 → 29 jun. 2018 http://acc2018.a2c2.org/ http://acc2018.a2c2.org/ |
Konference
Konference | 2018 American Control Conference |
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Lokation | Wisconsin Center |
Land/Område | USA |
By | Milwaukee |
Periode | 27/06/2018 → 29/06/2018 |
Internetadresse |