Sensor deployment for pipeline leakage detection via optimal boundary control strategies

Chao Xu; Yimeng Dong; Zhigang Ren; Huachen Jiang; Xin Yu

doi:10.3934/jimo.2015.11.199

Article Contents

2015, Volume 11, Issue 1: 199-216. Doi: 10.3934/jimo.2015.11.199

This issue Previous Article A $2.28$-competitive algorithm for online scheduling on identical machines Next Article Generalized exhausters: Existence, construction, optimality conditions

Sensor deployment for pipeline leakage detection via optimal boundary control strategies

1.
State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems & Control, Zhejiang University, Hangzhou, Zhejiang 310027
2.
Institute of Operations Research & Cybernetics, Zhejiang University, Hangzhou, Zhejiang 310027
3.
Ningbo Institute of Technology, Zhejiang University, Hangzhou, Zhejiang 310027

Received: December 2012

Revised: January 2014

Published: January 2015

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Abstract

We consider a multi-agent control problem using PDE techniques for a novel sensing problem arising in the leakage detection and localization of offshore pipelines. A continuous protocol is proposed using parabolic PDEs and then a boundary control law is designed using the maximum principle. Both analytical and numerical solutions of the optimality conditions are studied.

Keywords:

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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