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Based on graph theory and sliding mode control theory, a finite-time convergent threedimensional cooperative guidance law with directed communication topology is proposed to solve the problem of multi-missiles attacking a stationary target simultaneously. The guidance law can make the impact time of each missile tend to be consistent, and meet the constraints of impact angle at the same time. The threedimensional relative motion model of missile and target is established, and the time cooperative guidance problem and angle cooperative guidance problem are described. After analysis, the guidance problem is divided into two channels: line of sight direction and line of sight normal direction. In the line of sight direction, the distance error and approach speed error between adjacent missiles are selected as state variables,and the time cooperative guidance law is designed. It is proved that the guidance law can make the impact time of each missile tend to be consistent in a finite time in the condition of directed topology with directed spanning tree. In the line of sight normal direction, considering the coupling relationship between elevation line of sight angle and azimuth line of sight angle, a three-dimensional guidance law with impact angle constrained is designed. And the finite time convergence of the guidance law is proved. Then, a typical simulation conditions are set for simulation. The simulation results show that the guidance law has high guidance accuracy and can meet the requirements of time cooperation and angle cooperation in finite time, which verifies the feasibility of the guidance law.
[1]Jeon I S,Lee J I,Tahk M J.Impact-time-control guidance law for anti-ship missiles[J].IEEETransactions on Control Systems Technology,2006,14(2):260-266.
[2]Lee J I,Jeon I S.Guidance law to control impact time and angle[J].IEEE Transactions on Aerospace and Electronic Systems,2007,43 (7):301-310.
[3]张友安，张友根.多导弹攻击时间与攻击角度两阶段制导[J].吉林大学学报（工学版），2010,40 (5):1442-1447.
[4]张友根，张友安.控制撞击时间与角度的三维导引律：一种两阶段控制方法[J].控制理论与应用，2010,27 (10):1429-1434.
[5]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 (6):145-154.
[6]Zhao E,Wang S,Tao C,et al.Multiple missiles cooperative guidance based on leader-follower strategy[C].Guidance,Navigation&Control Conference.IEEE,2015:1163-1167.
[7]Zhang Y,Wang X,Wu H.A distributed cooperative guidance law for salvo attack of multiple anti-ship missiles[J].Chinese Journal of Aeronautics,2015,28(5):1438-1450.
[8]Zhao Q,Dong X,Liang Z,et al.Distributed cooperative guidance for multiple missiles with fixed and switching communication topologies[J].Chinese Journal of Aeronautics,2017 (30):1570-1581.
[9]Hou D,Wang Q,Sun X,et al.Finite-time cooperative guidance laws for multiple missiles with acceleration saturation constraints[J].Control Theory&Applications Iet,2015,9 (10):1525-1535.
[10]Wang Y,Dong S,Ou L,et al.Cooperative control of multi-missile systems[J].Control Theory&Applications Iet,2015,9 (3):441-446.
[11]宋俊红，宋申民，徐胜利.一种拦截机动目标的多导弹协同制导律[J].宇航学报，2016 (12):1306-1314.
[12]司玉洁，熊华，宋勋，等.三维自适应终端滑模协同制导律[J].航空学报，2020 (S01):99-109.
[13]Chen Z,Chen W,Liu X,et al.Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint[J].Aerospace Science and Technology,2021,110:1-16.
[14]董晓飞，任章，池庆玺，等.有向拓扑条件下针对机动目标的分布式协同制导律设计[J].航空学报，2020 (S01):119-127.
[15]Yang C D,Yang C C.Analytical solution of threedimensional realistic true proportional navigation[J].Journal of Guidance Control and Dynamics,1996,19(3):569-577.
[16]Biswas B,Maity A,Kumar S R.Finite-time convergent three-dimensional nonlinear intercept angle guidance[J].Journal of Guidance,Control,and Dynamics,2020,43 (1):146-153.
[17]Ren W,Beard R W.Distributed consensus algorithms and their applications in multi-vehicle cooperative control:Theory and applications[M].New York:Springer,2008:58-68.
[18]张运喜，孙明玮，陈增强.滑模变结构有限时间收敛制导律[J].控制理论与应用，2012 (11):1413-1418.
[19]Lyu T,Li C J,Guo Y N,et al.Three-dimensional finite-time cooperative guidance for multiple missiles without radial velocity measurements[J].Chinese Journal of Aeronautics,2019,32 (5):1294-1304.
Basic Information:
DOI：10.16358/j.issn.1009-1300.20220531
China Classification Code:TJ765
Citation Information:
[1]Xie Zihan,Lang Bo,Sun Liwei ,et al.Design of finite time convergent cooperative guidance law with directed communication topologies[J].Tactical Missile Technology,2022,No.214(04):60-68.DOI:10.16358/j.issn.1009-1300.20220531.
Fund Information:
国防基础科研项目（JCKY2019208C017）; 上海航天科技创新基金（SAST2019-005）
2022-08-01
2022-08-01
2022-08-01