Active nodes of network systems with sum-type dissipation inequalities
File(s)
Author(s)
Chen, Kaiwen
Astolfi, Alessandro
Type
Journal Article
Abstract
This article studies a small gain-like analysis and control synthesis tool for large-scale interconnected dynamical systems (networks). By exploiting the structure of the interconnection one can derive (or enforce it via control synthesis) an algebraic condition (the small gain-like condition) to allow the construction of a network storage function with a network dissipation inequality in a desired form (the small gain-like property), which can be further used for establishing convergence or stability properties. Small gain-like conditions, for systems with quadratic, general-form nonlinear, and parametrized supply rates, respectively, are derived and interpreted using the underlying graph. This allows enforcing such a condition via the design of a class of controlled nodes, called active nodes, provided their locations satisfy a graph-based condition. The article then proceeds to discuss control synthesis methods using the notion of active nodes, including the placement, the parameter computation, and the adaptation of the active nodes. Finally, an example of public-health-related control for interconnected settlements, to demonstrate the implementation of the active-node-based scheme, is presented.
Date Issued
2024-06-01
Date Acceptance
2023-12-16
Citation
IEEE Transactions on Automatic Control, 2024, 69 (6), pp.3896-3911
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
3896
End Page
3911
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
69
Issue
6
Copyright Statement
CCBY - IEEE is not the copyright holder of this material. Please follow the instructions via https://creativecommons.org/licenses/by/4.0/ to obtain full-text articles and stipulations in the API documentation.
License URL
Identifier
10.1109/TAC.2023.3344871
Subjects
Asymptotic stability
Automation & Control Systems
CONSTRUCTION
Dynamical systems
Engineering
Engineering, Electrical & Electronic
IISS
INPUT
Interconnected systems
ISS SYSTEMS
large-scale systems
Linear matrix inequalities
LYAPUNOV FORMULATION
Lyapunov methods
MATRIX
Network systems
networked control systems
Science & Technology
SMALL-GAIN THEOREM
Stability analysis
Technology
TO-STATE STABILITY
Publication Status
Published
Date Publish Online
2023-12-20