Title Distributed Event-Triggered Circular Formation Control for Multiple Anonymous Mobile Robots With Order Preservation and Obstacle Avoidance
Authors Xu, Peng
Li, Wenxiang
Tao, Jin
Dehmer, Matthias
Emmert-Streib, Frank
Xie, Guangming
Xu, Minyi
Zhou, Quan
Affiliation Dalian Maritime Univ, Marine Engn Coll, Dalian 116026, Peoples R China
Aalto Univ, Dept Elect Engn & Automat, Espoo 02150, Finland
Peking Univ, Coll Engn, Beijing 100871, Peoples R China
Swiss Distance Univ Appl Sci, Dept Comp Sci, CH-3900 Brig, Switzerland
Nankai Univ, Coll Artificial Intelligence, Tianjin 300071, Peoples R China
Tampere Univ Technol, Dept Signal Proc, Predict Med & Data Analyt Lab, Tampere 33720, Finland
Inst Biosci & Med Technol, Tampere 33520, Finland
Keywords CIRCLE FORMATION CONTROL
2ND-ORDER MULTIAGENT SYSTEMS
CONSENSUS
AGENTS
SURVEILLANCE
NETWORKS
Issue Date 2020
Publisher IEEE ACCESS
Abstract This article investigates circular formation control problems for a group of anonymous mobile robots in the plane, where all robots can converge asymptotically to a predefined circular orbit around a fixed target point without collision, and maintain any desired relative distances from their neighbors. Given the limited resources for communication and computation of robots, a distributed event-triggered method is firstly designed to reduce dependence on resources in multi-robot systems, where the controller's action is determined by whether the norm of the event-trigger function exceeds zero through continuous sampling. And then, to further minimize communications costs, a self-triggered strategy is proposed, which only uses discrete states sampled and sent by neighboring robots at their event instants. Furthermore, for the two proposed control laws, a Lyapunov functional is constructed, which allows sufficient stability conditions to be obtained on the circular formation for multi-robot systems. And at the same time, the controllers are proved to exclude Zeno behavior. At last, numerical simulation of controlling uniform and non-uniform circular formations by two control methods are conducted. Simulation results show that the designed controller can control all mobile robots to form either a uniform circular formation or a non-uniform circular formation while maintaining any desired relative distances between robots and guaranteeing that there is no collision during the whole evolution. One of the essential features of the proposed control methods is that they reduce the update rates of controllers and the communication frequency between robots. And also, the spatial order of robots is also preserved throughout the evaluation of the system without collision.
URI http://hdl.handle.net/20.500.11897/592228
ISSN 2169-3536
DOI 10.1109/ACCESS.2020.3023374
Indexed SCI(E)
Appears in Collections: 工学院

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