存在时延和拓扑不确定的多弹分散化协同制导时间一致性分析

doi:10.3969/j.issn.1000-1093.2014.07.007

兵工学报 ›› 2014, Vol. 35 ›› Issue (7): 982-989.doi: 10.3969/j.issn.1000-1093.2014.07.007

存在时延和拓扑不确定的多弹分散化协同制导时间一致性分析

王青¹，后德龙¹，李君^2,3，董朝阳³

(1.北京航空航天大学飞行器控制一体化技术重点实验室，北京 100191； 2.北京宇航系统工程研究所，北京 100080；

收稿日期:2013-10-19 修回日期:2013-10-19 上线日期:2014-09-05
通讯作者: 王青 E-mail:wangqing@buaa.edu.cn
作者简介:王青(1968—)女教授博士生导师
基金资助:
国家自然科学基金项目（61273083）；国防预先研究项目(9140C48020212HK0101)

Consensus Analysis of Multi-missile Decentralized Cooperative Guidance Time with Time-delays and Topologies Uncertainty

WANG Qing¹, HOU De-long¹, LI Jun^2,3, DONG Chao-yang³

（1.Science and Technology on Aircraft Control Laboratory，Beihang University，Beijing 100191，China；2.Beijing Astronautics Systems Engineering Institute，Beijing 100080，China;3.School of Aeronautic Science and Engineering，Beihang University，Beijing 100191，China）

Received:2013-10-19 Revised:2013-10-19 Online:2014-09-05
Contact: WANG Qing E-mail:wangqing@buaa.edu.cn

摘要/Abstract

摘要： 研究了固定拓扑和切换拓扑两种情况下同时存在通信时延和拓扑结构不确定的多导弹协同齐射攻击制导时间一致性问题。基于图论方法将多弹协同制导时间渐近一致性问题转化为制导时间分歧系统的渐近稳定性问题。基于Lyapunov函数方法分析了固定拓扑下分歧系统的渐近稳定性，得到了能够保证制导时间渐近一致的充分条件。将该方法拓展到动态拓扑结构切换情形，基于公共Lyapunov函数给出了充分条件。分别针对固定和切换拓扑下存在时延和时变拓扑结构不确定下的协同齐射攻击问题开展了仿真验证，得到的结果与理论分析相符。

关键词: 控制科学与技术, 分布式控制系统, 网络时延, 拓扑结构不确定, 切换拓扑, 一致性

Abstract: The multi-missile cooperative salvo attack problem with communication time-delay and topological structure uncertainty in fixed topology and dynamic switching topology is studied. Based on graph theory, the asymptotic consensus problem of multi-missile cooperative guidance time is converted to the asymptotic stability problem of different system. Then the asymptotic stability problem of different system with network transmission delay and topological structure uncertainty is analyzed based on Lyapunov function method. The method can get the condition of time-delays which satisfy the asymptotic consensus. This method is expanded to the situation of network transmission time-delay and topological structure uncertainty under switching topology for the analysis of guidance time consensus. The simulation results are coincident with the theoretical consensus analysis.

Key words: control science and technology, distributed control system, network time-delay, topology uncertainty, switching topology, consensus

中图分类号:

TJ765

王青，后德龙，李君，董朝阳. 存在时延和拓扑不确定的多弹分散化协同制导时间一致性分析[J]. 兵工学报, 2014, 35(7): 982-989.

WANG Qing, HOU De-long, LI Jun, DONG Chao-yang. Consensus Analysis of Multi-missile Decentralized Cooperative Guidance Time with Time-delays and Topologies Uncertainty[J]. Acta Armamentarii, 2014, 35(7): 982-989.

参考文献

［1］王建青, 李帆, 赵建辉, 等. 多导弹协同制导律综述［J］. 飞行力学, 2011, 29(4): 6-10.
WANG Jian-qing, LI Fan, ZHAO Jian-hui, et al. Summary of guidance law based cooperative attack of multi-missile method［J］. Flight Dynamics, 2011, 29(4): 6-10. (in Chinese)
［2］张友安, 马国欣, 王兴平. 多导弹时间协同制导: 一种领弹被领弹策略［J］. 航空学报, 2009, 30(6): 1109-1118.
ZHANG You-an, MA Guo-xin, WANG Xing-ping. Time-cooperative guidance for multi-missiles: a leader-follower strategy［J］. Acta Aeronautica et Astronautica Sinica, 2009, 30(6): 1109-1118. (in Chinese)
［3］王昊宇, 徐学强, 房玉军. 网络化协同打击弹药技术［J］. 兵工学报, 2010, 31(增刊2): 136-139.
WANG Hao-yu, XU Xue-qiang, FANG Yu-jun. Networked co-operative attack ammunition technology［J］. Acta Armamentarii, 2010, 31(S2): 136-139. (in Chinese)
［4］彭琛, 刘星, 吴森堂, 等. 多弹分散化协同末制导时间一致性研究［J］. 控制与决策, 2007, 25(10): 1557-1562.
PENG Chen, LIU Xing, WU Sen-tang, et al. Consensus problems in distributed cooperative terminal guidance time of multi-missiles［J］. Control and Decision, 2007, 25(10): 1557-1562. (in Chinese)
［5］ Jeon I S, Lee J I, Tahk M J. Impact-time-control guidance law for anti-ship missiles［J］. IEEE Transactions on Control Systems Technology, 2006, 14(2): 260-266.
［6］赵世钰, 周锐. 基于协调变量的多导弹协同制导［J］. 航空学报, 2008, 29(6): 1605-1611.
ZHAO Shi-yu, ZHOU Rui. Multi-missile cooperative guidance using coordination variables［J］. Acta Aeronautica et Astronautica Sinica, 2008, 29(6): 1605-1611. (in Chinese)
［7］于镝, 伍清河, 王寅秋. 高阶多智能体网络在固定和动态拓扑下的一致性分析［J］. 兵工学报, 2012, 33(1): 56-62.
YU Di, WU Qing-he, WANG Yin-qiu. Consensus analysis of high-order multi-agent network in fixed and dynamical switching topology［J］. Acta Armamentarii, 2012, 33(1): 56-62. (in Chinese)
［8］ Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays［J］. IEEE Transactions on Automatic Control. 2004, 49(9): 1520-1533.
［9］张庆杰, 沈林成, 朱华勇. 多智能体系统实现鲁棒一致的时延相关稳定判据［J］. 控制与决策, 2012, 27(4): 584-592.
ZHANG Qing-jie, SHEN Lin-cheng, ZHU Hua-yong. Delay-dependent stability criteria for robust consensus of multi-agent systems［J］. Control and Decision, 2012, 27(4): 584-592. (in Chinese)
［10］张保群, 宋申民, 陈兴林. 带时延和拓扑切换的编队卫星鲁棒协同控制［J］. 宇航学报, 2012, 33(7): 910-919.
ZHANG Bao-qun, SONG Shen-min, CHEN Xing-lin. Robust coordinated control for formation flying satellites with time delays and switching topologies［J］. Journal of Astronautics, 2012, 33(7): 910-919. (in Chinese)
［11］胡庆雷, 周稼康, 马广富. 无需角速度的含通信时延卫星编队飞行自适应姿态协同跟踪控制［J］. 自动化学报, 2012, 38(3): 462-468.
HU Qing-lei, ZHOU Jia-kang, MA Guang-fu. Angle velocity free attitude synchronization adaptive tracking control for satellite formation flying with time-varying delays［J］. Acta Automatica Sinica, 2012, 38(3): 462-468. (in Chinese)
［12］ Proskurnikov A V. Average consensus in networks with nonli-nearly delayed couplings and switching topology［J］. Automatica, 2013, 49(9): 2928-2932.
［13］孙惠泉. 图论及其应用［M］. 北京: 科学出版社, 2004.
SUN Hui-quan. Graph theory and its application［M］. Beijing: Science Press,2004. (in Chinese)
［14］ Sun Y G, Wang L. Consensus of multi-agent systems in directed networks with nonuniform time-varying delays［J］. IEEE Transactions on Automatic Control. 2009, 54(7): 1607-1613.
［15］ Sun Y G, Wang L, Xie G. Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays［J］. Systems & Control Letters, 2008, 57(2): 175-183.
［16］ El Ghaoui L, Feron E, Balakrishnan V. Linear matrix inequalities in system and control theory［M］. Philadelphia: Society for Industrial and Applied Mathematics, 1994.

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存在时延和拓扑不确定的多弹分散化协同制导时间一致性分析

Consensus Analysis of Multi-missile Decentralized Cooperative Guidance Time with Time-delays and Topologies Uncertainty

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