平台导引头隔离度对制导系统Lyapunov稳定性的影响

Effect of gimbaled seeker disturbance rejection rate on Lyapunov stability of guidance system

为了研究平台导引头隔离度对制导系统稳定性的影响,建立了不同制导信号提取点和不同干扰力矩引起的隔离度传递函数模型及制导系统模型,采用分析时变系统Lyapunov稳定性的无源性方法分析了制导系统的一致渐进稳定条件,基于制导系统稳定条件提出了隔离度幅值指标计算方法。研究表明,从角速率陀螺处提取制导信号时制导系统满足一致渐进稳定性对末导时间及隔离度幅值指标的约束比从稳定回路指令处提取时严格,弹簧力矩引起的隔离度幅值指标较阻尼力矩严苛,导引头测试时应密切关注从角速率陀螺处提取制导信号及弹簧力矩引起的隔离度幅值。

To study that the effect of gimbaled seeker disturbance rejection rate on the stability of guidance system, the models of the disturbance rejection rate transfer function induced by different guidance signal extraction points and disturbance torque types and the proportional navigation guidance system are established. The uniform asymptotic stability conditions of the guidance system are analyzed by the passivity approach of the Lyapunov stability theory for the timevarying system. Based on the stability condition of the guidance system, the calculation method of the amplitude index of the disturbance rejection rate is proposed. The research shows that when the guidance signal is extracted from the rate gyro, the constraints on the terminal guidance time and the amplitude index of the disturbance rejection rate are more stringent than those from the stabilized loop instruction. The amplitude index of the disturbance rejection rate due to the spring torque is harsher than that due to the damping torque. In the seeker test, attention should be paid to the amplitude index of the disturbance rejection rate caused by extracting guidance signals from the rate gyro and the spring torque.