Reliable decentralized control of interconnected discrete delay systems

Magdi S. Mahmoud

doi:10.1016/j.automatica.2012.02.011

Reliable decentralized control of interconnected discrete delay systems

Magdi S. Mahmoud^*

^*Corresponding author for this work

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

23 Scopus citations

Abstract

In this paper, we study the problem of designing decentralized reliable state-feedback controllers under a class of actuator failures for a class of linear interconnected discrete-time systems having subsystem and coupling time delays. The failures take into consideration possible outages or partial failures in every single actuator. A decentralized stabilizing reliable feedback controller is derived at the subsystem level to give the closed-loop subsystem delay-dependent robust internal stability with a γ-level ℓ ₂-gain. The results developed are tested on a representative water quality control example.

Original language	English
Pages (from-to)	986-990
Number of pages	5
Journal	Automatica
Volume	48
Issue number	5
DOIs	https://doi.org/10.1016/j.automatica.2012.02.011
State	Published - May 2012

Bibliographical note

Funding Information:
This work was supported by the Deanship for Scientific Research (DSR) at KFUPM through group research project RG-1105-1 . The original version of this paper was presented as an ‘invited paper’ at the IFAC-LSS 2010 Symposium, Villeneuve d’Ascq, France, July 11–14, 2010. This paper was recommended for publication in revised form by Associate Editor Emilia Fridman under the direction of Editor André L. Tits.

Keywords

Decentralized control
Delay-dependent stability
Interconnected systems
Reliable control
Time delay systems

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2012.02.011

Cite this

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title = "Reliable decentralized control of interconnected discrete delay systems",

abstract = "In this paper, we study the problem of designing decentralized reliable state-feedback controllers under a class of actuator failures for a class of linear interconnected discrete-time systems having subsystem and coupling time delays. The failures take into consideration possible outages or partial failures in every single actuator. A decentralized stabilizing reliable feedback controller is derived at the subsystem level to give the closed-loop subsystem delay-dependent robust internal stability with a γ-level ℓ 2-gain. The results developed are tested on a representative water quality control example.",

keywords = "Decentralized control, Delay-dependent stability, Interconnected systems, Reliable control, Time delay systems",

author = "Mahmoud, \{Magdi S.\}",

note = "Funding Information: This work was supported by the Deanship for Scientific Research (DSR) at KFUPM through group research project RG-1105-1 . The original version of this paper was presented as an {\textquoteleft}invited paper{\textquoteright} at the IFAC-LSS 2010 Symposium, Villeneuve d{\textquoteright}Ascq, France, July 11–14, 2010. This paper was recommended for publication in revised form by Associate Editor Emilia Fridman under the direction of Editor Andr{\'e} L. Tits. ",

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PY - 2012/5

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N2 - In this paper, we study the problem of designing decentralized reliable state-feedback controllers under a class of actuator failures for a class of linear interconnected discrete-time systems having subsystem and coupling time delays. The failures take into consideration possible outages or partial failures in every single actuator. A decentralized stabilizing reliable feedback controller is derived at the subsystem level to give the closed-loop subsystem delay-dependent robust internal stability with a γ-level ℓ 2-gain. The results developed are tested on a representative water quality control example.

AB - In this paper, we study the problem of designing decentralized reliable state-feedback controllers under a class of actuator failures for a class of linear interconnected discrete-time systems having subsystem and coupling time delays. The failures take into consideration possible outages or partial failures in every single actuator. A decentralized stabilizing reliable feedback controller is derived at the subsystem level to give the closed-loop subsystem delay-dependent robust internal stability with a γ-level ℓ 2-gain. The results developed are tested on a representative water quality control example.

KW - Decentralized control

KW - Delay-dependent stability

KW - Interconnected systems

KW - Reliable control

KW - Time delay systems

UR - https://www.scopus.com/pages/publications/84859775960

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DO - 10.1016/j.automatica.2012.02.011

M3 - Article

AN - SCOPUS:84859775960

SN - 0005-1098

VL - 48

SP - 986

EP - 990

JO - Automatica

JF - Automatica

IS - 5

ER -

Reliable decentralized control of interconnected discrete delay systems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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