Using delays for digital implementation of derivative-dependent control of stochastic multi-agents

Jin Zhang; Emilia Fridman

doi:10.1016/j.ifacol.2020.12.2040

Using delays for digital implementation of derivative-dependent control of stochastic multi-agents

Jin Zhang^*, Emilia Fridman^*

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

In this paper, we study the digital implementation of derivative-dependent control for consensus of the nth-order stochastic multi-agent systems. The consensus controllers that depend on the output and its derivatives up to the order n − 1 are approximated as delayed sampled-data controllers. For the consensus analysis, we propose novel Lyapunov-Krasovskii functionals to derive linear matrix inequalities (LMIs) that allow to find admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.

Original language	English
Pages (from-to)	3602-3607
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.2040
State	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Keywords

Consensus
LMIs
Sampled-data control
Stochastic multi-agent systems

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10.1016/j.ifacol.2020.12.2040

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title = "Using delays for digital implementation of derivative-dependent control of stochastic multi-agents",

abstract = "In this paper, we study the digital implementation of derivative-dependent control for consensus of the nth-order stochastic multi-agent systems. The consensus controllers that depend on the output and its derivatives up to the order n − 1 are approximated as delayed sampled-data controllers. For the consensus analysis, we propose novel Lyapunov-Krasovskii functionals to derive linear matrix inequalities (LMIs) that allow to find admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.",

keywords = "Consensus, LMIs, Sampled-data control, Stochastic multi-agent systems",

author = "Jin Zhang and Emilia Fridman",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0); 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

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AU - Fridman, Emilia

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N2 - In this paper, we study the digital implementation of derivative-dependent control for consensus of the nth-order stochastic multi-agent systems. The consensus controllers that depend on the output and its derivatives up to the order n − 1 are approximated as delayed sampled-data controllers. For the consensus analysis, we propose novel Lyapunov-Krasovskii functionals to derive linear matrix inequalities (LMIs) that allow to find admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.

AB - In this paper, we study the digital implementation of derivative-dependent control for consensus of the nth-order stochastic multi-agent systems. The consensus controllers that depend on the output and its derivatives up to the order n − 1 are approximated as delayed sampled-data controllers. For the consensus analysis, we propose novel Lyapunov-Krasovskii functionals to derive linear matrix inequalities (LMIs) that allow to find admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.

KW - Consensus

KW - LMIs

KW - Sampled-data control

KW - Stochastic multi-agent systems

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T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Using delays for digital implementation of derivative-dependent control of stochastic multi-agents

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Keywords

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