Reliable decentralized control of interconnected discrete delay systems

Magdi S. Mahmoud*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we study the problem of designing decentralized reliable state-feedback control methods under a class of control failures for a class of linear interconnected discrete-time systems having internal subsystem time-delays and additional time-delay couplings. These failures are described by a model that takes into consideration possible outages or partial failures in every single actuator of each decentralized controller. The decentralized state-feedback control design is performed through two steps. First, a decentralized stabilizing reliable feedback control set is derived at the subsystem level through the construction of appropriate Lyapunov-Krasovskii functional and, second, LMIs-based feasibility conditions are characterized such that every local closed-loop subsystem is delay-dependent robustly asymptotically stable with an γ-level L2 - gain. The developed results are tested on a representative example.

Original languageEnglish
Title of host publication12th IFAC Symposium on Large Scale Systems
Subtitle of host publicationTheory and Applications, LSS 2010 - Proceedings
PublisherIFAC Secretariat
Pages136-141
Number of pages6
EditionPART 1
ISBN (Print)9783902661913
DOIs
StatePublished - 2010

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume9
ISSN (Print)1474-6670

Keywords

  • Delay-dependent stability
  • Interconnected time-delay systems
  • LMIs
  • Reliable decentralized control

ASJC Scopus subject areas

  • Control and Systems Engineering

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