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

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

2 Citations (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.

Original language	English
Title of host publication	Control Conference (ECC), 2015 European
Publisher	IEEE Press
Publication date	2015
Pages	2694-2699
ISBN (Electronic)	978-3-9524269-3-7
DOIs	https://doi.org/10.1109/ECC.2015.7330945
Publication status	Published - 2015
Event	European Control Conference - Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015

Conference

Conference	European Control Conference
Country/Territory	Austria
City	Linz
Period	15/07/2015 → 17/07/2015

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10.1109/ECC.2015.7330945

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

Cite this

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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",

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

publisher = "IEEE Press",

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

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AU - Sloth, Christoffer

AU - Wisniewski, Rafael

PY - 2015

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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

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CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

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