A PDE Model Approach to Formation Control of Large-Scale Mobile Sensor Networks with Boundary Uncertainties

This paper investigates the formation problem of an array of large-scale mobile sensor networks. A new framework for the dynamic of mobile sensors as a continuum described by the parabolic system with boundary disturbance is proposed. The communication topology of agents is a chain graph and fixed....

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Bibliographic Details
Published in:Axioms 2023-01, Vol.12 (1), p.9
Main Authors: Qian, Xueming, Cui, Baotong
Format: Article
Language:English
Subjects:
Boundary control
boundary disturbance
Communication
consensus
Control algorithms
Design
formation control
Lie groups
mobile sensors
parabolic systems
Partial differential equations
Remote sensors
Sensors
Topology
Velocity
Wireless sensor networks
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Summary:This paper investigates the formation problem of an array of large-scale mobile sensor networks. A new framework for the dynamic of mobile sensors as a continuum described by the parabolic system with boundary disturbance is proposed. The communication topology of agents is a chain graph and fixed. Leader feedback laws which are designed in a manner to the boundary control of large-scale mobile sensor networks allow the mobile sensors to achieve the formation steadily. By referring to the Lyapunov functional method and employing a boundary control approach, a new protocol is established to deal with a formation problem for the large-scale mobile sensor networks. Finally, numerical examples are given to illustrate the usefulness of the results.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12010009