高超声速目标拦截含攻击角约束的协同制导律
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摘要
针对高超声速目标拦截的制导问题,提出了一种带攻击角约束的协同制导律.在垂直弹目视线方向,由攻击角约束得到期望的终端视线角,利用非线性干扰观测器对模型中的干扰进行估计,结合非奇异终端滑模理论设计视线法向加速度指令,保证了每枚导弹与目标之间的视线角速率收敛到0且视线角收敛到期望的终端视线角;在沿弹目视线方向,基于二阶多智能体一致性算法设计视线方向加速度指令,保证了每枚导弹与目标之间的相对距离在有限时间内到达一致,进而保证各枚导弹同时击中目标.通过对4枚导弹协同拦截高超声速目标的情景进行仿真,验证了所设计制导律的有效性.
A cooperative guidance law was proposed for intercepting hypersonic target with constrained impact angle. In the direction of perpendicular to the line-of-sight(LOS), the acceleration command was developed based on the nonlinear disturbance observer and the nonsingular terminal sliding mode theory to ensure the LOS rate converging to zero and the LOS angle converging to the desired angle, i.e. the constrained impact angle. Along the LOS direction, the acceleration command was designed based on the multi-agent consensus control algorithm to ensure all the relative distances from the missiles to the target reaching the agreement in finite time and every missile hitting the target at same time. Simulation results for the scenario of four missiles intercepting a hypersonic target demonstrate the effectiveness of the proposed guidance law.
A cooperative guidance law was proposed for intercepting hypersonic target with constrained impact angle. In the direction of perpendicular to the line-of-sight(LOS), the acceleration command was developed based on the nonlinear disturbance observer and the nonsingular terminal sliding mode theory to ensure the LOS rate converging to zero and the LOS angle converging to the desired angle, i.e. the constrained impact angle. Along the LOS direction, the acceleration command was designed based on the multi-agent consensus control algorithm to ensure all the relative distances from the missiles to the target reaching the agreement in finite time and every missile hitting the target at same time. Simulation results for the scenario of four missiles intercepting a hypersonic target demonstrate the effectiveness of the proposed guidance law.
引文
[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(29):6-10.Wang Jianqing,Li Fan,Zhao Jianhui,et al.Summary of guidance law based on cooperative attack of multi-missile method[J].Flight Dynamics,2011,29(29):6-10.(in Chinese)
[2] 肖增博,雷虎民,腾江川,等.多导弹协同制导规律研究现状及展望[J].航空兵器,2011,15(6):18-62.Xiao Zengbo,Lei Humin,Teng Jiangchuan,et al.The present status and prospect of multi-missile cooperative guidance law[J].Aero Weaponry,2011,15(6):18-62.(in Chinese)
[3] Dhananjay N,Ghose D.Accurate time-to-go estimation for proportional navigation guidance[J].Journal of Guidance,Control,and Dynamics,2014,37(4):1378-1383.
[4] Jeon I S,Lee J I,Tahk M J.Homing guidance law for cooperative attack of multiple missiles[J].Journal of Guidance,Control,and Dynamics,2010,33(1):275-280.
[5] 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,2016,37(12):1306-1314.Song Junhong,Song Shenmin,Xu Shengli.A cooperative guidance law for multiple missiles to intercept maneuvering target[J].Journal of Astronautics,2016,37(12):1306-1314.(in Chinese)
[6] 周锐,孙雪娇,吴江,等.多导弹分布式协同制导与反步滑模控制方法[J].控制与决策,2014,29(9):1617-1622.Zhou Rui,Sun Xuejiao,Wu Jiang,et al.Multi-missile distributed cooperative guidance integrating backstepping sliding mode control[J].Control and Decision,2014,29(9):1617-1622.(in Chinese)
[7] 邹丽,孔繁峨,周锐,等.多导弹分布式自适应协同制导方法[J].北京航空航天大学学报,2012,38(1):128-132.Zou Li,Kong Fane,Zhou Rui,et al.Distributed adaptive cooperative guidance for multi-missile salvo attack[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(1):128-132.(in Chinese)
[8] Sun X J,Zhou R,Hou D L,et al.Consensus of leader-followers system of multi-missile with time-delays and switching topologies[J].Optik-International Journal for Light and Electron Optics,2014,125(3):1202-1208.
[9] 刁兆师,单家元.带末端攻击角约束连续有限时间稳定制导律[J].宇航学报,2014,35(10):1141-1149.Diao Zhaoshi,Shan Jiayuan.Continuous finite-time stabilization guidance law[J].Journal of Astronautics,2014,35(10):1141-1149.(in Chinese)
[10] Yu S H,Yu X H,Shirinzadeh B,et al.Continuous finite-time control for robotic manipulators with terminal sliding mode[J].Automatica,2005,41(11):1957-1964.
[11] Wang X,Hong Y.Finite-time consensus for multi-agent networks with second-order agent dynamics[C]//Proceedings of the IFAC World Congress.[S.l.]:IFAC,2008:15185-15190.
[12] 潘欢.二阶多智能体一致性算法研究[D].长沙:中南大学,2012.Pan Huan.The investigation of consensus algorithms in second-order multi-agent systems[D].Changsha:Central South University,2012.(in Chinese)
[2] 肖增博,雷虎民,腾江川,等.多导弹协同制导规律研究现状及展望[J].航空兵器,2011,15(6):18-62.Xiao Zengbo,Lei Humin,Teng Jiangchuan,et al.The present status and prospect of multi-missile cooperative guidance law[J].Aero Weaponry,2011,15(6):18-62.(in Chinese)
[3] Dhananjay N,Ghose D.Accurate time-to-go estimation for proportional navigation guidance[J].Journal of Guidance,Control,and Dynamics,2014,37(4):1378-1383.
[4] Jeon I S,Lee J I,Tahk M J.Homing guidance law for cooperative attack of multiple missiles[J].Journal of Guidance,Control,and Dynamics,2010,33(1):275-280.
[5] 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,2016,37(12):1306-1314.Song Junhong,Song Shenmin,Xu Shengli.A cooperative guidance law for multiple missiles to intercept maneuvering target[J].Journal of Astronautics,2016,37(12):1306-1314.(in Chinese)
[6] 周锐,孙雪娇,吴江,等.多导弹分布式协同制导与反步滑模控制方法[J].控制与决策,2014,29(9):1617-1622.Zhou Rui,Sun Xuejiao,Wu Jiang,et al.Multi-missile distributed cooperative guidance integrating backstepping sliding mode control[J].Control and Decision,2014,29(9):1617-1622.(in Chinese)
[7] 邹丽,孔繁峨,周锐,等.多导弹分布式自适应协同制导方法[J].北京航空航天大学学报,2012,38(1):128-132.Zou Li,Kong Fane,Zhou Rui,et al.Distributed adaptive cooperative guidance for multi-missile salvo attack[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(1):128-132.(in Chinese)
[8] Sun X J,Zhou R,Hou D L,et al.Consensus of leader-followers system of multi-missile with time-delays and switching topologies[J].Optik-International Journal for Light and Electron Optics,2014,125(3):1202-1208.
[9] 刁兆师,单家元.带末端攻击角约束连续有限时间稳定制导律[J].宇航学报,2014,35(10):1141-1149.Diao Zhaoshi,Shan Jiayuan.Continuous finite-time stabilization guidance law[J].Journal of Astronautics,2014,35(10):1141-1149.(in Chinese)
[10] Yu S H,Yu X H,Shirinzadeh B,et al.Continuous finite-time control for robotic manipulators with terminal sliding mode[J].Automatica,2005,41(11):1957-1964.
[11] Wang X,Hong Y.Finite-time consensus for multi-agent networks with second-order agent dynamics[C]//Proceedings of the IFAC World Congress.[S.l.]:IFAC,2008:15185-15190.
[12] 潘欢.二阶多智能体一致性算法研究[D].长沙:中南大学,2012.Pan Huan.The investigation of consensus algorithms in second-order multi-agent systems[D].Changsha:Central South University,2012.(in Chinese)