Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies

Time varying formation control problem for a group of quadrotor unmanned aerial vehicles (UAVs) under Markovian switching topologies is investigated through a modified dynamic event-triggered control protocol. The formation shape is specified by a time varying vector, which prescribes the relative p...

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Main Authors: Zhen Zhou, Hongbin Wang, Zhongquan Hu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8124861
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author Zhen Zhou
Hongbin Wang
Zhongquan Hu
author_facet Zhen Zhou
Hongbin Wang
Zhongquan Hu
author_sort Zhen Zhou
collection DOAJ
description Time varying formation control problem for a group of quadrotor unmanned aerial vehicles (UAVs) under Markovian switching topologies is investigated through a modified dynamic event-triggered control protocol. The formation shape is specified by a time varying vector, which prescribes the relative positions and bearings among the whole agents. Instead of the general stochastic topology, the graph is governed by a set of Markov chains to the edges, which can recover the traditional Markovian switching topologies in line with the practical communication network. The stability proof for the state space origin of the overall closed-loop system is derived from the singular perturbation method and Lyapunov stability theory. An event-triggered formation control protocol in terms of a dynamically varying threshold parameter is delicately carried out, while acquiring satisfactory resource efficiency, and Zeno behavior of triggering time sequences is excluded. Finally, simulations on six quadrotor UAVs are given to verify the effectiveness of the theoretical results.
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issn 1076-2787
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publishDate 2018-01-01
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series Complexity
spelling doaj-art-b0496038d6b942ecbea98d59040151692025-02-03T05:51:19ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/81248618124861Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching TopologiesZhen Zhou0Hongbin Wang1Zhongquan Hu2Key Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, ChinaKey Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, ChinaKey Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, ChinaTime varying formation control problem for a group of quadrotor unmanned aerial vehicles (UAVs) under Markovian switching topologies is investigated through a modified dynamic event-triggered control protocol. The formation shape is specified by a time varying vector, which prescribes the relative positions and bearings among the whole agents. Instead of the general stochastic topology, the graph is governed by a set of Markov chains to the edges, which can recover the traditional Markovian switching topologies in line with the practical communication network. The stability proof for the state space origin of the overall closed-loop system is derived from the singular perturbation method and Lyapunov stability theory. An event-triggered formation control protocol in terms of a dynamically varying threshold parameter is delicately carried out, while acquiring satisfactory resource efficiency, and Zeno behavior of triggering time sequences is excluded. Finally, simulations on six quadrotor UAVs are given to verify the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2018/8124861
spellingShingle Zhen Zhou
Hongbin Wang
Zhongquan Hu
Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies
Complexity
title Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies
title_full Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies
title_fullStr Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies
title_full_unstemmed Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies
title_short Event-Based Time Varying Formation Control for Multiple Quadrotor UAVs with Markovian Switching Topologies
title_sort event based time varying formation control for multiple quadrotor uavs with markovian switching topologies
url http://dx.doi.org/10.1155/2018/8124861
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AT hongbinwang eventbasedtimevaryingformationcontrolformultiplequadrotoruavswithmarkovianswitchingtopologies
AT zhongquanhu eventbasedtimevaryingformationcontrolformultiplequadrotoruavswithmarkovianswitchingtopologies