非圆截面导弹BTT控制奇异性研究  

Study of Bank-to-Turn Control Singularity on Non-Circular Cross Section Missile

作　　者：何镜[1] 夏群利[1] 温求遒[1] 杜运理[1] 

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《北京理工大学学报》2011年第8期927-931,共5页Transactions of Beijing Institute of Technology

摘　　要：针对目前非圆截面导弹BTT控制常用的反正切函数(arctan)制导指令转换算法易导致滚转角指令出现跳变的现象,建立了BTT控制指令生成与转换模型,借助偏导数和等高线的方法对BTT控制奇异性进行了深入分析,阐明了BTT控制奇异性产生的基本原因,提出了一种通过划分控制区域的奇异性控制策略.结果表明,通过在奇异控制区域采用滚转角指令平滑算法可有效消除BTT控制奇异性的影响,保证了系统的控制精度.最后通过数学仿真验证了控制策略的可行性.The trigonometric function method is usually used to transform the guidance command from Cartesian coordinates into polar coordinates on non-circular cross section missile, but it is easy to cause roll angle command singularity. Based on the theory of generation and conversion of guidance command, the basic cause of generating control singularity was analyzed with the measures of partial differential coefficient and contour line. A strategy to control singularity of roll angle command was presented by partitioning different control areas. In the singularity control area, the smooth control command was adopted to avoid the occurrence of singularity. The result shows that the strategy could greatly eliminate the influence of control singularity of bank-to-turn on the control precision. Simulation results show that this method is reasonable and could be used in engineering.

关 键 词：非圆截面导弹 BTT控制 制导指令 控制区域 控制策略 

分 类 号：TJ761.1[兵器科学与技术—武器系统与运用工程]