Networked feedback control for nonlinear systems with random varying delays

Magdi S. Mahmoud; Mirza H. Baig

doi:10.1016/j.jfranklin.2014.02.011

Networked feedback control for nonlinear systems with random varying delays

Magdi S. Mahmoud^*, Mirza H. Baig

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

This paper discusses the controller synthesis problem of a nonlinear networked controlled system subject to delays in the measurement and actuation channels. The communication through the network also suffers non-stationary packet dropouts. The bounded nonlinearities in the plant state satisfy Lipschitz conditions. A Lyapunov function is developed for the closed-loop system considering dynamic output feedback and the resulting stabilization conditions are drawn in the form of linear matrix inequalities to ensure that the system is exponentially stable in the mean-square sense. The developed conditions are represented in the form of a convex optimization problem and the results are tested by simulation on a quadruple-tank process.

Original language	English
Pages (from-to)	3145-3162
Number of pages	18
Journal	Journal of the Franklin Institute
Volume	351
Issue number	6
DOIs	https://doi.org/10.1016/j.jfranklin.2014.02.011
State	Published - Jun 2014

Bibliographical note

Funding Information:
The authors would like to thank the reviewers for their helpful comments on our submission. This work is supported by the Deanship of Scientific Research (DSR) at KFUPM through research group Project no. RG-1316-1 .

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

Access to Document

10.1016/j.jfranklin.2014.02.011

Cite this

@article{bbd7d4633ae2498a981741ad0e66fb60,

title = "Networked feedback control for nonlinear systems with random varying delays",

abstract = "This paper discusses the controller synthesis problem of a nonlinear networked controlled system subject to delays in the measurement and actuation channels. The communication through the network also suffers non-stationary packet dropouts. The bounded nonlinearities in the plant state satisfy Lipschitz conditions. A Lyapunov function is developed for the closed-loop system considering dynamic output feedback and the resulting stabilization conditions are drawn in the form of linear matrix inequalities to ensure that the system is exponentially stable in the mean-square sense. The developed conditions are represented in the form of a convex optimization problem and the results are tested by simulation on a quadruple-tank process.",

author = "Mahmoud, \{Magdi S.\} and Baig, \{Mirza H.\}",

note = "Funding Information: The authors would like to thank the reviewers for their helpful comments on our submission. This work is supported by the Deanship of Scientific Research (DSR) at KFUPM through research group Project no. RG-1316-1 . ",

year = "2014",

month = jun,

doi = "10.1016/j.jfranklin.2014.02.011",

language = "English",

volume = "351",

pages = "3145--3162",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

number = "6",

}

TY - JOUR

T1 - Networked feedback control for nonlinear systems with random varying delays

AU - Mahmoud, Magdi S.

AU - Baig, Mirza H.

N1 - Funding Information: The authors would like to thank the reviewers for their helpful comments on our submission. This work is supported by the Deanship of Scientific Research (DSR) at KFUPM through research group Project no. RG-1316-1 .

PY - 2014/6

Y1 - 2014/6

N2 - This paper discusses the controller synthesis problem of a nonlinear networked controlled system subject to delays in the measurement and actuation channels. The communication through the network also suffers non-stationary packet dropouts. The bounded nonlinearities in the plant state satisfy Lipschitz conditions. A Lyapunov function is developed for the closed-loop system considering dynamic output feedback and the resulting stabilization conditions are drawn in the form of linear matrix inequalities to ensure that the system is exponentially stable in the mean-square sense. The developed conditions are represented in the form of a convex optimization problem and the results are tested by simulation on a quadruple-tank process.

AB - This paper discusses the controller synthesis problem of a nonlinear networked controlled system subject to delays in the measurement and actuation channels. The communication through the network also suffers non-stationary packet dropouts. The bounded nonlinearities in the plant state satisfy Lipschitz conditions. A Lyapunov function is developed for the closed-loop system considering dynamic output feedback and the resulting stabilization conditions are drawn in the form of linear matrix inequalities to ensure that the system is exponentially stable in the mean-square sense. The developed conditions are represented in the form of a convex optimization problem and the results are tested by simulation on a quadruple-tank process.

UR - https://www.scopus.com/pages/publications/84900012365

U2 - 10.1016/j.jfranklin.2014.02.011

DO - 10.1016/j.jfranklin.2014.02.011

M3 - Article

AN - SCOPUS:84900012365

SN - 0016-0032

VL - 351

SP - 3145

EP - 3162

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 6

ER -

Networked feedback control for nonlinear systems with random varying delays

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this