半捷联寻的导引头寄生回路稳定性分析与制导精度分析

Stability Region Analysis of the Parasitical Loop and Guidance Accuracy Analysis of the Semi-Strapdown Homing Seeker

对半捷联寻的导引头的寄生回路稳定性进行了分析,研究了半捷联寻的制导系统主要参数变化与各误差源对制导精度的影响。首先进行了半捷联寻的导引头跟踪控制系统设计,建立了半捷联寻的导引头隔离度数学模型及由隔离度函数引起的寄生回路数学模型,推导了隔离度函数最大幅值与导引头系统参数之间的解析表达式,给出了寄生回路稳定判据,建立了寄生回路稳定域与导引头控制器参数之间的约束关系。基于伴随技术推导了目标机动及测量元件噪声所引起的脱靶量与弹体过载的显式解析表达式。最后针对实际的半捷联寻的制导系统进行了精度分析,给出了制导系统主要参数变化对制导精度的影响规律,确定了各种误差源信号对制导精度的影响程度,为半捷联寻的制导系统总体设计提供了理论依据和技术支撑。

The stability of the parasitical loop of the Semi-Strapdown Homing Seeker （SSHS） is analyzed, and the influence of main system parameters and random noises on the guidance accuracy of Semi-Strapdown Homing Guided （SSHG） system are studied in this paper. First, the control system of the SSHS is designed, the mathematical model of the Disturbance Rejection Effect （DRE） and the mathematical model of the parasitical loop induced by the DRE are built. Based on the Routh Criterion, the approximate stability region of the parasitical loop is calculated out, the conditions that ensure the stability of the parasitical loop are directly related to the seeker main controller parameters. Then, by using the simplified model of the SSHG system, the explicit analytic expressions of miss distance and missile acceleration induced by target maneuvering and measurement errors are derived based on the adjoint technique. Finally, the influence of the main system parameters and sensor measurement errors on the guidance accuracy of the realistic complex SSHG system are analyzed, which provide a foundation for system design and engineering implementation of SSHG system.