An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control

An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control

In this paper, an inverse optimal control problem of multi-agent systems is investigated based on partial stability and structured Lyapunov matrix. Agents with general linear dynamics are considered. The communication graph of the agents is assumed to be undirected and fixed. A cooperative optimal c...

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Bibliographic Details
Main Authors: Linying Xiang, Erli Zheng
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Multi-agent system
inverse optimality
static output feedback
structured Lyapunov matrix
undirected graph
Online Access:https://ieeexplore.ieee.org/document/8930540/
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spelling doaj-21d3b18bea8f4d8c806ab72ca63c3adf2021-03-29T22:43:15ZengIEEEIEEE Access2169-35362019-01-01717779317780310.1109/ACCESS.2019.29586908930540An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback ControlLinying Xiang0https://orcid.org/0000-0003-1747-0001Erli Zheng1https://orcid.org/0000-0001-9559-9201School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, ChinaDepartment of Automation, Xiamen University, Xiamen, ChinaIn this paper, an inverse optimal control problem of multi-agent systems is investigated based on partial stability and structured Lyapunov matrix. Agents with general linear dynamics are considered. The communication graph of the agents is assumed to be undirected and fixed. A cooperative optimal control protocol is designed to guarantee consensus based on static output feedback. It is demonstrated that, given the stabilizing static output feedback control input, a performance index function can be found such that the control input is optimal. A structured quadratic performance index is derived that is related to the topology of the communication graph. It allows for global optimal control that is implemented using the proposed distributed consensus protocol.https://ieeexplore.ieee.org/document/8930540/Multi-agent systeminverse optimalitystatic output feedbackstructured Lyapunov matrixundirected graph
collection DOAJ
language English
format Article
sources DOAJ
author Linying Xiang
Erli Zheng
spellingShingle Linying Xiang
Erli Zheng
An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control
IEEE Access
Multi-agent system
inverse optimality
static output feedback
structured Lyapunov matrix
undirected graph
author_facet Linying Xiang
Erli Zheng
author_sort Linying Xiang
title An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control
title_short An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control
title_full An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control
title_fullStr An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control
title_full_unstemmed An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control
title_sort inverse optimal problem for multi-agent systems based on static output feedback control
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2019-01-01
description In this paper, an inverse optimal control problem of multi-agent systems is investigated based on partial stability and structured Lyapunov matrix. Agents with general linear dynamics are considered. The communication graph of the agents is assumed to be undirected and fixed. A cooperative optimal control protocol is designed to guarantee consensus based on static output feedback. It is demonstrated that, given the stabilizing static output feedback control input, a performance index function can be found such that the control input is optimal. A structured quadratic performance index is derived that is related to the topology of the communication graph. It allows for global optimal control that is implemented using the proposed distributed consensus protocol.
topic Multi-agent system
inverse optimality
static output feedback
structured Lyapunov matrix
undirected graph
url https://ieeexplore.ieee.org/document/8930540/
work_keys_str_mv AT linyingxiang aninverseoptimalproblemformultiagentsystemsbasedonstaticoutputfeedbackcontrol
AT erlizheng aninverseoptimalproblemformultiagentsystemsbasedonstaticoutputfeedbackcontrol
AT linyingxiang inverseoptimalproblemformultiagentsystemsbasedonstaticoutputfeedbackcontrol
AT erlizheng inverseoptimalproblemformultiagentsystemsbasedonstaticoutputfeedbackcontrol
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