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针对导弹对目标拦截问题,考虑测量信号信噪比影响,以非线性H∞控制理论为基础,应用Lya-punov函数稳定性的分析方法设计了具有强鲁棒性的非线性制导律。首先,以弹-目相对距离和相对速度为变量,并将目标机动视为扰动,建立弹-目相对运动的非线性数学模型。其次,基于零化弹目相对距离的思想,针对拦截过程中测量噪声的影响问题,提出了非线性H∞稳定控制策略,得到连续的非线性末制导律,并分析了信噪比与制导律参数的关系,对测量信号信噪比提出了要求。同时,严格证明了制导系统的稳定性,且无需求解HJI偏微分方程。仿真结果表明,这种制导律对大机动目标具有较强的鲁棒性和适应性,同时能获得良好的制导精度。
Considering the effect of signal-to-noise ratio of the measured signal, aiming at the target interception problem of the missile, based on the nonlinear H∞ control theory, a robust nonlinear guidance law is designed by using the analytical method of Lya-punov function stability. First, taking the relative distance between missile and target as the variable, the target maneuver is regarded as the disturbance, and a nonlinear mathematical model of the relative motion of the missile is established. Secondly, based on the idea of relative distance of zero-sized missiles, aiming at the influence of measurement noise during interception, a nonlinear H∞stability control strategy is proposed and a continuous nonlinear final guidance law is obtained. The SNR and guidance law The relationship between the parameters of the signal to noise ratio measurement requirements. At the same time, the stability of guidance system is strictly proved without solving the HJI partial differential equation. The simulation results show that the guidance law has strong robustness and adaptability to large maneuvering targets and good guidance accuracy.