反临拦截弹中制导弹道在线优化设计  

Design of midcourse trajectory online optimization for near space interceptor

作　　者：李宁波[1,2] 雷虎民 周觐[1] 邵雷[1] 王斌[1] 

机构地区：[1]空军工程大学防空反导学院,西安710051 [2]西安交通大学电子信息与工程学院,西安710049

出　　处：《控制与决策》2017年第12期2195-2200,共6页Control and Decision

基　　金：国家自然科学基金项目(61573374;61503408);航空科学基金项目(20150196006)

摘　　要：为了实现反临拦截弹中制导段的弹道在线优化,基于邻域最优控制(NOC)理论和改进间接高斯伪谱法(GPM)设计一种弹道在线生成算法.根据临近空间拦截作战特点设计弹道优化模型,基于NOC理论推导关于修正状态量和协态量的两点边值问题.对横截条件进行二阶变分,通过逆向递推将终端最优协态修正值表示成跟踪偏差和终端约束修正量的表达式.将拦截弹的当前状态量作为初始约束值,终端最优协态修正值作为干扰量,利用标称弹道数据,基于改进间接GPM求得控制修正量.仿真结果表明,所提出的方法可以快速生成一条修正弹道,且具有较高的终端修正精度.In order to realize online trajectory optimization for midcourse guidance of the near space interceptor, an online trajectory generation algorithm is designed based on the neighboring optimal control（NOC） theory and improved indirect Gauss pseudospectral method（GPM）. A trajectory optimization model is designed according to the features of operation in the near space. The two points boundary value problem is deduced based on the NOC theory. The transversality conditions are further differentiated to second order and the optimal co-state modifications are expressed in terms of current state derivations and terminal constraint modifications by backward recursion. By treating the current states and the optimal co-state modifications as initial constraints and perturbations, the feedback control variables are obtained based on the improved indirect GPM and nominal trajectory information. The simulation results show that this method can generate a modified trajectory effectively with high precision of terminal modifications.

关 键 词：弹道在线优化 中制导 邻域最优控制 间接高斯伪谱法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]