Stability verification for energy-aware hydraulic pressure control via simplicial subdivision

Christoffer Sloth, Rafael Wisniewski

Publikation: Kapitel i bog/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Abstrakt

This paper presents a linear programming-based method for finding Lyapunov functions of dynamical systems with polynomial vector fields. We propose to utilize a certificate of positivity in the Bernstein basis based on subdivisioning to find a Lyapunov function. The subdivision-based method is proposed since it has better degree bounds than similar methods based on degree elevation. The proposed method is successfully applied to find a Lyapunov function for a pressure controlled water distribution system.

OriginalsprogEngelsk
Titel2015 European Control Conference, ECC 2015
Antal sider6
ForlagIEEE
Publikationsdato16. nov. 2015
Sider2694-2699
Artikelnummer7330945
ISBN (Elektronisk)9783952426937
DOI
StatusUdgivet - 16. nov. 2015
Udgivet eksterntJa
BegivenhedEuropean Control Conference, ECC 2015 - Linz, Østrig
Varighed: 15. jul. 201517. jul. 2015

Konference

KonferenceEuropean Control Conference, ECC 2015
Land/OmrådeØstrig
ByLinz
Periode15/07/201517/07/2015

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