| 引用本文: | 熊少锋,魏明英,赵明元,熊华.考虑导弹速度时变的角度约束最优中制导律[J].控制理论与应用,2018,35(2):248~257.[点击复制] |
| XIONG Shao-feng,WEI Ming-ying,ZHAO Ming-yuan,XIONG Hua.Impact angle constrained optimal midcourse guidance law for missiles of time-varying speed[J].Control Theory and Technology,2018,35(2):248~257.[点击复制] |
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| 考虑导弹速度时变的角度约束最优中制导律 |
| Impact angle constrained optimal midcourse guidance law for missiles of time-varying speed |
| 摘要点击 3286 全文点击 2063 投稿时间：2017-06-04 修订日期：2017-10-31 |
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| DOI编号 10.7641/CTA.2017.70374 |
| 2018,35(2):248-257 |
| 中文关键词 中制导律 最优控制 逆轨拦截 角度约束 高斯伪谱法 导弹速度时变 |
| 英文关键词 midcourse guidance law optimal control head on interception impact angle constraint Gauss pseudospectral method time-varying velocity of missile |
| 基金项目 中国博士后科学基金第62批面上项目(2017M620863)资助. |
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| 中文摘要 |
| 以导弹逆轨拦截高速运动目标为背景，本文运用间接高斯伪谱法设计带攻击角度约束的最优中制导律.通
过零化弹目相对法向速度，将攻击角度约束转化为视线角约束.考虑导弹速度时变的情况，建立带角度约束的制
导方程.根据极小值原理推导最优中制导律的解析表达式，运用高斯伪谱法对最优中制导律进行离散化，把微分
方程转化为代数方程，避免了求解Riccati方程.该方法不需要预先知道导弹未来的速度信息，计算量小，具有较
好的实时性.仿真结果表明该中制导律可以满足逆轨拦截对弹目交会角的约束，且中制导末端的过载较小. |
| 英文摘要 |
| In the background of counter parallel intercepting high-speed moving target, the indirect Gauss pseudospectral
method is employed to design an impact angle constrained optimal midcourse guidance law in this paper. Through
vanishing the relative normal velocity between missile and target, the impact angle constraint is converted into the line of
sight angle constraint. Considering the time-varying velocity of missile, the guidance equation with impact angle constraint
is established. An analytical expression of optimal midcourse guidance law is derived based on the Minimum Principle.
The Gauss pseudospectral method is used to discretize the optimal midcourse guidance law, then differential equations are
turned into algebraic equations, and solving the Riccati equations is avoided. It does not need to know in advance the future
velocity information of missiles and the computation load is small, which in-dicates that the proposed method has good real
time property. The simulation results show that the proposed mid-course guidance law can satisfy the intersection angle
constraint of counter parallel intercepting, and the acceleration command at the end of the midcourse guidance is small. |