Differential graphical games for H-infinity control of linear heterogeneous multiagent systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00335491" target="_blank" >RIV/68407700:21230/19:00335491 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/rnc.4538" target="_blank" >https://doi.org/10.1002/rnc.4538</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/rnc.4538" target="_blank" >10.1002/rnc.4538</a>
Alternative languages
Result language
angličtina
Original language name
Differential graphical games for H-infinity control of linear heterogeneous multiagent systems
Original language description
Differential graphical games have been introduced in the literature to solve state synchronization problem for linear homogeneous agents. When the agents are heterogeneous, the previous notion of graphical games cannot be used anymore and a new definition is required. In this paper, we define a novel concept of differential graphical games for linear heterogeneous agents subject to external unmodeled disturbances, which contain the previously introduced graphical game for homogeneous agents as a special case. Using our new formulation, we can solve both the output regulation and H-infinity output regulation problems. Our graphical game framework yields coupled Hamilton-Jacobi-Bellman equations, which are, in general, impossible to solve analytically. Therefore, we propose a new actor-critic algorithm to solve these coupled equations numerically in real time. Moreover, we find an explicit upper bound for the overall L2-gain of the output synchronization error with respect to disturbance. We demonstrate our developments by a simulation example.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20205 - Automation and control systems
Result continuities
Project
<a href="/en/project/GJ16-25493Y" target="_blank" >GJ16-25493Y: Use of Cooperative Distributed Multi-agent Systems for Estimation and Control of Distributed Parameter Systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Robust and Nonlinear Control
ISSN
1049-8923
e-ISSN
1099-1239
Volume of the periodical
29
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
2995-3013
UT code for WoS article
000470837300014
EID of the result in the Scopus database
2-s2.0-85063694725