异构集群系统分布式自适应输出时变编队跟踪控制

田磊; 董希旺; 赵启伦; 李清东; 吕金虎; 任章

doi:10.16383/j.aas.c200185

异构集群系统分布式自适应输出时变编队跟踪控制

doi: 10.16383/j.aas.c200185

田磊¹,
董希旺^{1, 2,},
赵启伦³,
李清东¹,
吕金虎^{1, 2},
任章^{1, 2}

1.
北京航空航天大学自动化科学与电气工程学院飞行器控制一体化技术国防科技重点实验室北京 100191
2.
北京航空航天大学大数据科学与脑机智能高精尖创新中心北京 100191
3.
北京电子工程总体研究所北京 100854

基金项目: 国家重点研发计划课题(2018AAA0102303), 国家自然科学基金(61922008, 61973013, 61873011, 61803014), 国防创新特区项目(18-163-00-TS-001-001-34), 国防基础科研计划资助(JCKY2019601C106), 北京市自然科学基金(4182035)资助

详细信息

作者简介:
田磊：硕士, 助理工程师. 主要研究方向为多智能体系统协同控制方法及其应用

董希旺：博士, 教授. 主要研究方向为一致性控制, 编队控制, 合围控制及其在无人机集群系统的应用. 本文通信作者. E-mail: xwdong@buaa.edu.cn

赵启伦：博士, 工程师. 主要研究方向为协同制导和协同控制

李清东：博士, 高级工程师. 主要研究方向为飞行器的制导, 导航与控制, 故障诊断与容错控制

吕金虎：博士, 教授. 主要研究方向为智能系统, 协同控制理论与技术, 复杂网络与大数据

任章：博士, 教授. 主要研究方向为控制理论与应用及飞行器控制、制导与导航

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出版历程
- 收稿日期: 2020-04-04
- 录用日期: 2020-08-27
- 网络出版日期: 2021-09-30
- 刊出日期: 2021-10-20

Distributed Adaptive Time-varying Output Formation Tracking for Heterogeneous Swarm Systems

TIAN Lei¹,
DONG Xi-Wang^{1, 2
,},
ZHAO Qi-Lun³,
LI Qing-Dong¹,
LV Jin-Hu^{1, 2},
REN Zhang^{1, 2}

1.
School of Automation Science and Electrical Engineering, Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing 100191
2.
Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191
3.
Beijing Institute of Electronic System Engineering, Beijing 100854

Funds: Supported by Science and Technology Innovation 2030-Key Project of “New Generation Artificial Intelligence” (2018AAA0102303), the National Natural Science Foundation of China (61922008, 61973013, 61873011, 61803014), the Innovation Zone Project (18-163-00-TS-001-001-34), the Defense Industrial Technology Development Program (JCKY2019601C106), the Beijing Natural Science Foundation (4182035)

More Information

Author Bio:
TIAN Lei　Master, assistant engineer. His research interest covers cooperative control approach and application of multiagent systems

DONG Xi-Wang　Ph. D., professor. His research interest covers consensus control, formation control, and containment control of multi-agent systems with applications to UAV swarm systems. Correspondings author of this paper

ZHAO Qi-Lun　Ph. D., engineer. His research interest covers cooperative guidance and control

LI Qing-Dong　Ph. D. degree, senior engineer. His research interest covers aircraft guidance, navigation and control, fault detection, isolation and recovery

LV Jin-Hu　Ph. D., professor. His research interest covers intelligent systems, cooperative control theory and technology, complex networks, and big data

REN Zhang　Ph. D., professor. His research interest covers control theory and application and aircraft control, guidance and navigation

摘要

摘要: 提出了一种能够解决高阶异构集群系统输出时变编队跟踪问题的控制方法. 集群系统中的智能体分为领导者和跟随者, 领导者和跟随者的动力学模型可以完全不同. 跟随者的输出在跟踪领导者输出的同时保持时变编队实现协同运动. 考虑了领导者存在已知或未知控制输入、领导者和跟随者均存在未知扰动、有向通信拓扑存在切换等多种因素并存的情况, 结合观测器理论、自适应控制理论和滑模控制理论设计了完全分布式的输出时变编队跟踪控制协议, 摆脱了对领导者控制输入上界值、与通信拓扑相关的拉普拉斯矩阵的特征值以及时变编队函数等全局信息的依赖. 利用Lyapunov理论证明了在有向拓扑切换条件下异构集群系统的闭环稳定性. 最后通过数值仿真对理论结果的有效性进行了验证.
- 异构集群系统 /
- 时变编队跟踪 /
- 分布式控制 /
- 自适应控制 /
- 有向拓扑切换
Abstract: A control method is proposed to solve time-varying output formation tracking problems of heterogeneous high-order swarm systems in this paper. The agents in swarm systems are classified into the leader and the follower. The dynamics of all agents can be different with each other. Outputs of the followers keep time-varying formation while tracking the leader＇ s output to realize cooperative movement. With the existence of leader＇ s known or unknown input, leader＇ s and followers＇ disturbances and switching directed topologies, distributed time-varying output formation tracking control protocols without any global information such as the upper boundness of the leader＇ s input, the eigenvalue information of the Laplacian matrix associated with the communication topologies and the time-varying formation function are designed base on the observer theory, adaptive control theory and sliding mode control theory. The closed-loop stability of heterogeneous swarm systems with switching directed topologies is proven by Lyapunov theory. Finally, the effectiveness of the obtained theoretical results is verified by numerical simulation.
- Heterogeneous swarm systems /
- time-varying formation tracking /
- distributed control /
- adaptive control /
- switching directed topologies
注释:

1) 收稿日期 2020-04-04 录用日期 2020-08-27 Manuscript received April 4, 2020; accepted August 27, 2020 国家重点研发计划课题(2018AAA0102303), 国家自然科学基金 (61922008, 61973013, 61873011, 61803014), 国防创新特区项目(18-163-00-TS-001-001-34), 国防基础科研计划资助(JCKY2019601C106), 北京市自然科学基金(4182035)资助 Supported by Science and Technology Innovation 2030-Key Project of “New Generation Artificial Intelligence” (2018AAA0102303), National Natural Science Foundation of China (61922008, 61973013, 61873011, 61803014), the Innovation Zone Project (18-163-00-TS-001-001-34), the Defense Industrial Technology Development Program (JCKY2019601C106), the Beijing Natural Science Foundation (4182035) 本文责任编委邓方 Recommended by Associate Editor DENG Fang 1. 北京航空航天大学自动化科学与电气工程学院飞行器控制一体化技术国防科技重点实验室北京 100191 2. 北京航空航天大学, 大数据科学与脑机智能高精尖创新中心北京 100191 3. 北京

2) 电子工程总体研究所北京 100854 1.School of Automation Science and Electrical Engineering, Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing 100191 2. Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191 3. Beijing Institute of Electronic System Engineering, Beijing 100854

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图 1 有人−无人飞行器协同飞行示意图

Fig. 1 The illustration of cooperative flight strategy for manned and unmanned aerial vehicles

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图 2 空地协同围捕目标示意图

Fig. 2 The illustration of hunting target by air-ground collaboration

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图 3 集群系统输出时变编队跟踪示意图

Fig. 3 The illustration of time-varying output formation tracking for swarm systems

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图 4 集群系统的通信拓扑关系

Fig. 4 The communication topologies of swarm systems

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图 5 控制协议(7)和(8)中观测器的估计误差

Fig. 5 The estimation errors of observers in control protocol (7) and control protocol (8)

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图 6 跟随者控制协议(8)中的自适应增益变化曲线

Fig. 6 The varying curve of adaptive gains in followers′ control protocol (8)

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图 7 跟随者控制协议(8)中的控制输入变化曲线

Fig. 7 The varying curve of control input in followers′ control protocol (8)

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图 8 当领导者是合作目标时集群系统的输出轨迹以及部分时刻的输出信息

Fig. 8 The trajectory of output and the output information at partial moments associated with swarm systems when leader is cooperative target

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图 9 当领导者是合作目标时集群系统输出时变编队跟踪误差

Fig. 9 The error of time-varying output formation tracking related to swarm systems when leader is cooperative target

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图 10 当领导者是非合作目标时集群系统的输出轨迹以及部分时刻的输出信息

Fig. 10 The trajectory of output and the output information at partial moments associated with swarm systems when leader is noncooperative target

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图 11 当领导者是非合作目标时集群系统输出时变编队跟踪误差

Fig. 11 The error of time-varying output formation tracking related to swarm systems when leader is noncooperative target

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