基于Radau伪谱法的SAR末制导成像段弹道优化  

Trajectory Optimization of SAR Imaging Guidance based on Radau Pseudospectral Method

作　　者：王杰[1] 张刚[2,3] 杨立波[4] 祝明波[2] 

机构地区：[1]海军航空工程学院研究生处 [2]海军航空工程学院电子信息工程系 [3]中国人民解放军92925部队 [4]北京航天自动控制研究所

出　　处：《现代防御技术》2013年第5期41-46,共6页Modern Defence Technology

基　　金："泰山学者"建设工程专项经费资助;中科院电子所横向项目资助

摘　　要：针对弹载合成孔径雷达(SAR)末制导成像段的弹道优化问题,提出了一种基于Radau伪谱法的优化方法。以SAR固定分辨率成像时需要的波束驻留时间为指标函数,结合SAR成像约束、导弹过载约束条件建立了弹道优化模型。利用Radau伪谱法将原连续时间弹道优化问题转化为非线性规划问题,并采用序列二次规划算法进行求解,得到了最优加速度。仿真结果表明,Radau伪谱法可快速求解SAR末制导成像段弹道优化问题,得到的控制变量平滑,与直接打靶法求解最优弹道相比,该方法求解精度高,速度快,对初值敏感度低。To solve the trajectory optimization problem in missile-borne synthetic aperture radar （SAR） terminal guidance imaging period, an optimization method based on Radau pseudospectral meth- od is proposed. Firstly, traje SAR fixed resolution needs, ctory and optimization model is established. Its object function is the dwell time the constraints include SAR imaging constraints and missile overload constraints. Secondly, Radau pseudospectral method is used to transcribe original continuous-time trajec- tory optimization problem to a nonlinear programming problem, which is solved by sequential quadratic programming algorithm. Simulation results show that, trajectory optimization problem, and can get a smooth Radau pseudospectral method can rapidly solve this trajectory. Compared with direct shooting method, it has the merits of high accuracy, high speed and low sensitive to initial value

关 键 词：Radau伪谱 合成孔径雷达 末制导 弹道优化 

分 类 号：TJ013.2[兵器科学与技术—兵器发射理论与技术] TJ765.3