Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents

Jin Zhang; Emilia Fridman

doi:https://doi.org/10.1109/TAC.2021.3056364

Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents

Jin Zhang, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

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

Abstract

In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.

Original language	English
Pages (from-to)	351-358
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	67
Issue number	1
DOIs	https://doi.org/10.1109/TAC.2021.3056364
State	Published - 1 Jan 2022

Keywords

Consensus
linear matrix inequalities (LMIs)
sampled-data control
stochastic multiagent systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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https://doi.org/10.1109/TAC.2021.3056364

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title = "Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents",

abstract = "In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.",

keywords = "Consensus, linear matrix inequalities (LMIs), sampled-data control, stochastic multiagent systems",

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T1 - Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents

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AU - Fridman, Emilia

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N2 - In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.

AB - In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.

KW - Consensus

KW - linear matrix inequalities (LMIs)

KW - sampled-data control

KW - stochastic multiagent systems

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DO - https://doi.org/10.1109/TAC.2021.3056364

M3 - مقالة

SN - 0018-9286

VL - 67

SP - 351

EP - 358

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 1

ER -

Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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