基于Guass伪谱法的空空导弹中制导方法研究

Midcourse guidance method in air-to-air missiles based on Gauss pseudospectral method

针对空空导弹拦截临近空间目标的中制导问题,开展中制导律设计方法研究。首先,建立空空导弹拦截高超声速目标射程最大的最优控制模型,采用Guass伪谱法对最优控制问题进行求解;然后,基于Guass伪谱法的优化结果进行中制导设计,将飞行过程中的中制导律分为正弦迎角转弯段和弹道阻尼段;最后,仿真验证空空导弹采用设计的制导律拦截高超声速目标的可行性和有效性。研究结果可为空空导弹中制导律设计和工程实际应用提供理论参考。

The design method of the midcourse guidance law is studied for the guidance problem of air-to-air missile interception near space targets.Firstly,the optimal control model with the maxi-mum range of air-to-air missiles interception hypersonic targets is established,and the Guass pseudospectral method(CPM)is used to solve the optimal control problem.Then,based on the op-timization results of the GPM,the guidance design is carried out,and the guidance law during flight is divided into a sinusoidal angle of attack turning section and a ballistic damping section.Finally,the feasibility and effectiveness of the designed midcourseguidance law to intercept hypersonic targets with air-to-air missiles are verified by simulation.The research results can provide a theoretical ref-erence for the guidance law design and engineering practical application in air-to-air missile.