Stochastic Stability Analysis of Control Systems with Uncertain Communication

Christoffer Sloth; Rafael Wisniewski

doi:10.1016/j.ifacol.2017.08.984

Stochastic Stability Analysis of Control Systems with Uncertain Communication

Christoffer Sloth, Rafael Wisniewski

Aalborg University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

This paper presents conditions for determining the stability of a networked control system. We assume that a given system is designed to be stochastically stable, when disregarding the implementation of the controller on a network. Based on the system description and an associated Lyapunov function, we provide conditions for the quality of the network under which the networked system is stable. In particular, we provide a valid inter-sampling interval, mean communication delay, and a set to which the system converges in the mean.

Original language	English
Book series	IFAC-PapersOnLine
Volume	50
Issue number	1
Pages (from-to)	6172-6177
ISSN	2405-8971
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.984
Publication status	Published - 2017
Externally published	Yes

Keywords

Communication constraints
Control over networks
Stochastic stability

Documents & Links

10.1016/j.ifacol.2017.08.984

Cite this

@article{aa99e4350518439da7e0116fe08c4c42,

title = "Stochastic Stability Analysis of Control Systems with Uncertain Communication",

abstract = "This paper presents conditions for determining the stability of a networked control system. We assume that a given system is designed to be stochastically stable, when disregarding the implementation of the controller on a network. Based on the system description and an associated Lyapunov function, we provide conditions for the quality of the network under which the networked system is stable. In particular, we provide a valid inter-sampling interval, mean communication delay, and a set to which the system converges in the mean.",

keywords = "Communication constraints, Control over networks, Stochastic stability",

author = "Christoffer Sloth and Rafael Wisniewski",

year = "2017",

doi = "10.1016/j.ifacol.2017.08.984",

language = "English",

volume = "50",

pages = "6172--6177",

journal = "IFAC-PapersOnLine",

issn = "2405-8971",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Stochastic Stability Analysis of Control Systems with Uncertain Communication

AU - Sloth, Christoffer

AU - Wisniewski, Rafael

PY - 2017

Y1 - 2017

N2 - This paper presents conditions for determining the stability of a networked control system. We assume that a given system is designed to be stochastically stable, when disregarding the implementation of the controller on a network. Based on the system description and an associated Lyapunov function, we provide conditions for the quality of the network under which the networked system is stable. In particular, we provide a valid inter-sampling interval, mean communication delay, and a set to which the system converges in the mean.

AB - This paper presents conditions for determining the stability of a networked control system. We assume that a given system is designed to be stochastically stable, when disregarding the implementation of the controller on a network. Based on the system description and an associated Lyapunov function, we provide conditions for the quality of the network under which the networked system is stable. In particular, we provide a valid inter-sampling interval, mean communication delay, and a set to which the system converges in the mean.

KW - Communication constraints

KW - Control over networks

KW - Stochastic stability

U2 - 10.1016/j.ifacol.2017.08.984

DO - 10.1016/j.ifacol.2017.08.984

M3 - Journal article

AN - SCOPUS:85031810583

SN - 2405-8971

VL - 50

SP - 6172

EP - 6177

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 1

ER -

Stochastic Stability Analysis of Control Systems with Uncertain Communication

Abstract

Keywords

Documents & Links

Fingerprint

Cite this