Stability Verification for Energy-Aware Hydraulic Pressure Control via Simplicial Subdivision

Christoffer Sloth; Rafael Wisniewski

doi:10.1109/ECC.2015.7330945

Stability Verification for Energy-Aware Hydraulic Pressure Control via Simplicial Subdivision

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

2 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Titel	Control Conference (ECC), 2015 European
Forlag	IEEE Press
Publikationsdato	2015
Sider	2694-2699
ISBN (Elektronisk)	978-3-9524269-3-7
DOI	https://doi.org/10.1109/ECC.2015.7330945
Status	Udgivet - 2015
Begivenhed	European Control Conference - Linz, Østrig Varighed: 15 jul. 2015 → 17 jul. 2015

Konference

Konference	European Control Conference
Land/Område	Østrig
By	Linz
Periode	15/07/2015 → 17/07/2015

Adgang til dokumentet

10.1109/ECC.2015.7330945

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation
Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Projekter: Projekt › Forskning

Citationsformater

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title = "Stability Verification for Energy-Aware Hydraulic Pressure Control via Simplicial Subdivision",

abstract = "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.",

author = "Christoffer Sloth and Rafael Wisniewski",

year = "2015",

doi = "10.1109/ECC.2015.7330945",

language = "English",

pages = "2694--2699",

booktitle = "Control Conference (ECC), 2015 European",

publisher = "IEEE Press",

note = "European Control Conference ; Conference date: 15-07-2015 Through 17-07-2015",

}

TY - GEN

T1 - Stability Verification for Energy-Aware Hydraulic Pressure Control via Simplicial Subdivision

AU - Sloth, Christoffer

AU - Wisniewski, Rafael

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

U2 - 10.1109/ECC.2015.7330945

DO - 10.1109/ECC.2015.7330945

M3 - Article in proceeding

SP - 2694

EP - 2699

BT - Control Conference (ECC), 2015 European

PB - IEEE Press

T2 - European Control Conference

Y2 - 15 July 2015 through 17 July 2015

ER -

Stability Verification for Energy-Aware Hydraulic Pressure Control via Simplicial Subdivision

Abstract

Konference

Adgang til dokumentet

AUB Link

Fingeraftryk

Projekter

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

Citationsformater