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Technical Brief

Consensus-based cooperative formation control for multi-quadcopter system with unidirectional network connections

[+] Author and Article Information
Toru Namerikawa

Department of Integrated Design Engineering, Graduate School of Science and Technology, Keio University, Yokohama, Japan
namerikawa@sd.keio.ac.jp

Yasuhiro Kuriki

Department of Integrated Design Engineering, Graduate School of Science and Technology, Keio University, Yokohama, Japan
yasuhiro@nl.sd.keio.ac.jp

Ahmed Mohammed Khalifa

Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menoufia University, Menoufia, Egypt
ahmed.khalifa@el-eng.menofia.edu.eg

1Corresponding author.

ASME doi:10.1115/1.4038375 History: Received May 02, 2016; Revised October 19, 2017

Abstract

In this article, we consider cooperative control issues for a multi-unmanned aerial vehicle (UAV) system. We propose a cooperative formation control strategy with unidirectional network connections between UAVs. Our strategy is to apply a consensus-based algorithm to the UAVs so that they can cooperatively fly in formation. First, we show that UAV models on the horizontal plane and in the vertical direction are expressed as a fourth- and second-order system, respectively. Then, we show that the stability discriminants of the multi-UAV system on the horizontal plane and in the vertical direction are expressed as polynomials. For a network structure composed of bidirectional or unidirectional network connections under the assumption that the network has a directed spanning tree, we provide conditions for formation control gains such that all roots of the polynomials have negative real parts in order for the UAVs to asymptotically converge to the positions for a desired formation by using the generalized Routh stability criterion. The proposed control algorithms are validated through simulations, and experiments are performed on multiple commercial small UAVs to validate the proposed control algorithm.

Copyright (c) 2017 by ASME
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