Decentralized Derivative-Dependent Control of Large-Scale Systems with Input Delay via Delayed Feedback Implementation

Hui Zhang, Jin Zhang*, Emilia Fridman, Chen Peng

*Corresponding author for this work

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

2 Scopus citations

Abstract

We study decentralized derivative-dependent control of large-scale second-order systems with input delay via delayed feedback implementation. The derivatives are approximated by finite differences leading to a time-delayed feedback. In the centralized case, an efficient simple linear matrix inequities (LMIs)-based method for designing of such static output-feedback and its sampled-data implementation was recently suggested. In the present paper, we extend this design to large-scale systems in the presence of input delay. We add appropriate terms to the corresponding Lyapunov-Krasovskii functional to compensate the terms due to the input delay. Numerical example illustrates the efficiency of the method.

Original languageEnglish
Title of host publication2023 42nd Chinese Control Conference, CCC 2023
PublisherIEEE Computer Society
Pages1070-1075
Number of pages6
ISBN (Electronic)9789887581543
DOIs
StatePublished - 2023
Event42nd Chinese Control Conference, CCC 2023 - Tianjin, China
Duration: 24 Jul 202326 Jul 2023

Publication series

NameChinese Control Conference, CCC
Volume2023-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference42nd Chinese Control Conference, CCC 2023
Country/TerritoryChina
CityTianjin
Period24/07/2326/07/23

Funding

FundersFunder number
National Natural Science Foundation of China61833011, 62173218
National Key Research and Development Program of China2020YFB1708200

    Keywords

    • LMIs
    • Large-scale systems
    • decentralized control
    • delay-induced stability

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