基于脱靶量约束的捷联体制制导系统稳定域研究

A Stability Region Research for the Strapdown Guidance System Based on Miss Distance Constraint

针对导弹总体设计中捷联体制下合理选取制导系统隔离度指标的问题,提出了基于脱靶量约束的制导系统稳定域确定方法.首先分析了捷联相控阵雷达导引头隔离度寄生回路产生的原因,建立了含有隔离度寄生回路的比例导引制导系统模型;其次利用劳斯判据和伴随法确定了脱靶量约束下的制导系统稳定域,分析了制导参数对脱靶量约束下的制导系统稳定域的影响,并求得脱靶量约束下制导系统稳定边界的解析表达式和近似解;最后通过伴随法对确定的脱靶量约束下的制导系统稳定域进行仿真验证.研究结果表明,基于脱靶量约束下确定的制导系统稳定域满足脱靶量约束条件,可以用于指导导弹总体指标分配以及制导系统工程师对制导参数的选取.

In order to propose the reasonable isolation index requirements for strapdown guidance system that contains disturbance rejection rate parasitical loop in missile general design,a method was proposed to determine the guidance stability region based on miss distance constraint.Firstly,the reasons that disturbance rejection rate parasitical loop generated in the strapdown array radar seeker were analyzed,and a dynamic model was established for the guidance systems that contain disturbance rejection rate parasitical loop.Then Routh criterion and adjoint method was used to determine the stability region of guidance system under the miss distance constraint,to analyze the influence of guidance parameters on guidance system stability region,and the stable approximate solution and the analytical boundary were obtained for the guidance system under miss distance constraint.Finally,the adjoint method was used to simulate and verify the guidance stability region of guidance system under miss distance constraint.The results show that stability region of guidance system based on miss distance constraint meets the miss distance constraint,this method can be used to guide missile overall index distribution and selection of guidance parameters for engineer of guidance.