Robust stability bounds for networked controlled systems with unknown, bounded and varying delays

L. Dritsas, Antonios Tzes

Research output: Contribution to journalArticle

Abstract

A robust control-oriented modelling approach for networked controlled systems (NCS) with uncertain, varying, bounded transmission delays and asynchronous discrete-time control laws is presented. The resulting model is then used for the derivation of sufficient conditions for the robust stability of NCSs and the computation of the maximum allowable delay (constrained within one sampling period) that the closed-loop system can tolerate given a pre-selected set of stabilising gains for the nominally delayed system. The derived stability conditions can be used for both open-loop stable and unstable systems and are numerically simple to use because they rely on singular-value calculations and the solution of a standard discrete Lyapunov equation. The impact of certain designer choices (such as sampling period, nominal delay and tuning parameters appearing in the stability conditions) on the delay range is also investigated. Simulation studies are used to investigate the efficiency of the derived robust stability bound.

Original languageEnglish (US)
Pages (from-to)270-280
Number of pages11
JournalIET Control Theory and Applications
Volume3
Issue number3
DOIs
StatePublished - Mar 16 2009

Fingerprint

Robust Stability
Sampling
Unknown
Robust control
Closed loop systems
Stability Condition
Tuning
Lyapunov Equation
Parameter Tuning
Discrete Equations
Singular Values
Robust Control
Closed-loop System
Categorical or nominal
Discrete-time
Unstable
Simulation Study
Robust stability
Sufficient Conditions
Modeling

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

Robust stability bounds for networked controlled systems with unknown, bounded and varying delays. / Dritsas, L.; Tzes, Antonios.

In: IET Control Theory and Applications, Vol. 3, No. 3, 16.03.2009, p. 270-280.

Research output: Contribution to journalArticle

@article{d5399e88303a4d4685028e733f6e984c,
title = "Robust stability bounds for networked controlled systems with unknown, bounded and varying delays",
abstract = "A robust control-oriented modelling approach for networked controlled systems (NCS) with uncertain, varying, bounded transmission delays and asynchronous discrete-time control laws is presented. The resulting model is then used for the derivation of sufficient conditions for the robust stability of NCSs and the computation of the maximum allowable delay (constrained within one sampling period) that the closed-loop system can tolerate given a pre-selected set of stabilising gains for the nominally delayed system. The derived stability conditions can be used for both open-loop stable and unstable systems and are numerically simple to use because they rely on singular-value calculations and the solution of a standard discrete Lyapunov equation. The impact of certain designer choices (such as sampling period, nominal delay and tuning parameters appearing in the stability conditions) on the delay range is also investigated. Simulation studies are used to investigate the efficiency of the derived robust stability bound.",
author = "L. Dritsas and Antonios Tzes",
year = "2009",
month = "3",
day = "16",
doi = "10.1049/iet-cta:20070384",
language = "English (US)",
volume = "3",
pages = "270--280",
journal = "IET Control Theory and Applications",
issn = "1751-8644",
publisher = "Institution of Engineering and Technology",
number = "3",

}

TY - JOUR

T1 - Robust stability bounds for networked controlled systems with unknown, bounded and varying delays

AU - Dritsas, L.

AU - Tzes, Antonios

PY - 2009/3/16

Y1 - 2009/3/16

N2 - A robust control-oriented modelling approach for networked controlled systems (NCS) with uncertain, varying, bounded transmission delays and asynchronous discrete-time control laws is presented. The resulting model is then used for the derivation of sufficient conditions for the robust stability of NCSs and the computation of the maximum allowable delay (constrained within one sampling period) that the closed-loop system can tolerate given a pre-selected set of stabilising gains for the nominally delayed system. The derived stability conditions can be used for both open-loop stable and unstable systems and are numerically simple to use because they rely on singular-value calculations and the solution of a standard discrete Lyapunov equation. The impact of certain designer choices (such as sampling period, nominal delay and tuning parameters appearing in the stability conditions) on the delay range is also investigated. Simulation studies are used to investigate the efficiency of the derived robust stability bound.

AB - A robust control-oriented modelling approach for networked controlled systems (NCS) with uncertain, varying, bounded transmission delays and asynchronous discrete-time control laws is presented. The resulting model is then used for the derivation of sufficient conditions for the robust stability of NCSs and the computation of the maximum allowable delay (constrained within one sampling period) that the closed-loop system can tolerate given a pre-selected set of stabilising gains for the nominally delayed system. The derived stability conditions can be used for both open-loop stable and unstable systems and are numerically simple to use because they rely on singular-value calculations and the solution of a standard discrete Lyapunov equation. The impact of certain designer choices (such as sampling period, nominal delay and tuning parameters appearing in the stability conditions) on the delay range is also investigated. Simulation studies are used to investigate the efficiency of the derived robust stability bound.

UR - http://www.scopus.com/inward/record.url?scp=61849153843&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=61849153843&partnerID=8YFLogxK

U2 - 10.1049/iet-cta:20070384

DO - 10.1049/iet-cta:20070384

M3 - Article

AN - SCOPUS:61849153843

VL - 3

SP - 270

EP - 280

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

SN - 1751-8644

IS - 3

ER -