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

Author:

Qian XuemingORCID,Cui Baotong

Abstract

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.

Funder

Natural Science Foundation of the Jiangsu Higher Education Institutions of China

Qing Lan Project of the Jiangsu Higher Education Institutions (Young and Middle-aged Academic Leader

Soft Science Research Project of Wuxi

Advanced Research and Study Project for Academic Leaders of Jiangsu Higher Vocational Colleges

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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