基于固定时间收敛误差动力学的微分几何制导律设计  

Differential geometric guidance law design based on fixed⁃timeconvergent error dynamics method

作　　者：白显宗 黎克波[2,3] 李昊键 董伟 BAI Xianzong;LI Kebo;LI Haojian;DONG Wei(National Innovation Institute of Defense Technology,Academy of Military Science,Beijing 100010,China;College of Aerospace Science and Engineering,National University of Defense Technology,Changsha 410073,China;Hunan Key Laboratory of Intelligent Planning and Simulation for Aerospace Missions,Changsha 410073,China;National Key Laboratory of Autonomous Intelligent Unmanned Systems,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]军事科学院国防科技创新研究院,北京100010 [2]国防科技大学空天科学学院,长沙410073 [3]空天任务智能规划与仿真湖南省重点实验室,长沙410073 [4]北京理工大学自主智能无人系统全国重点实验室,北京100081

出　　处：《航空学报》2024年第16期181-194,共14页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(12002370)。

摘　　要：提出了一种具有固定时间收敛特性的微分几何制导律设计方法。首先,提出一种新的固定时间收敛误差动力学方法的控制参数选择机制,将控制参数从4个缩减为3个,并给出更为准确的误差收敛时间上界。其次,针对固定目标打击制导问题,基于古典微分几何曲线原理,将固定时间收敛误差动力学方法拓展至弧长域,提出固定路程收敛微分几何制导律设计方法。然后,分别针对碰撞角控制制导和飞行路程控制制导问题,设计了相应的固定路程收敛微分几何制导律。最后,通过数值仿真,对所提方法的有效性进行了验证。A differential geometric guidance law design method with the characteristic of fixed-time convergence is proposed.Firstly,a new control parameter selection mechanism is presented for the recently proposed Fixed-Time convergence Error Dynamics(FxTED)method.The number of control parameters are reduced from four to three,and a more accurate upper-bound of the error settling time is obtained.Secondly,for the guidance law design problem against stationary targets,the FxTED method is extended to the arc-length domain based on the classical differential geometry curve theory,and the differential geometric guidance law design method with the property of fixed-range con⁃vergence is proposed.Then,to address the problems of impact-angle-control guidance and flight-range-control guid⁃ance,two fixed-range convergence differential geometric guidance laws are designed.Finally,the effectiveness of the proposed method is verified through numerical simulation examples.

关 键 词：误差动力学 古典微分几何曲线原理 固定时间收敛 固定路程收敛 微分几何制导律 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]