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首页> 外文期刊>Aerospace and Electronic Systems, IEEE Transactions on >Optimal Proportional-Integral Guidance With Reduced Sensitivity to Target Maneuvers
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Optimal Proportional-Integral Guidance With Reduced Sensitivity to Target Maneuvers

机译：最优的比例积分制导，对目标机动的灵敏度降低

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摘要

This paper proposes a new optimal guidance law based on the proportional-integral (PI) concept to reduce the sensitivity to unknown target maneuvers. Compared to the existing PI guidance laws, the proposed guidance command is derived in the optimal control framework while guarantees finite-time convergence. The kinematics equation with respect to the zero-effort-miss (ZEM) is utilized and the integral ZEM is augmented as a new system state. The proposed guidance law is derived through the Schwarz's inequality method. The closed-form solution of the proposed guidance law is presented to provide better insight of its properties. Additionally, the working principle of the integral command is investigated to show why the proposed guidance law is robust against unknown target accelerations. The analytical results reveal that the proposed optimal guidance law is exactly the same as an instantaneous direct model reference adaptive guidance law with a prespecified reference model. The potential significance of the obtained results is that it can provide a point of connection between PI guidance laws and adaptive guidance laws. Therefore, it allows us to have better understanding of the physical meaning of both guidance laws and provides the possibility in designing a new guidance law that takes advantages of both approaches. Finally, the performance of the guidance law developed is demonstrated by nonlinear numerical simulations with extensive comparisons.
机译：本文提出了一种新的基于比例积分（PI）概念的最优制导律，以降低对未知目标机动的敏感性。与现有的PI制导律相比，所提出的制导命令是在最优控制框架中得出的，同时保证了有限的时间收敛性。利用了关于零努力缺失（ZEM）的运动学方程，并将积分ZEM扩充为新的系统状态。拟议的制导律是通过Schwarz不等式方法得出的。提出了拟议的指导法的封闭形式的解决方案，以提供对其属性的更好的了解。另外，研究了积分指令的工作原理，以说明为什么拟议的制导律对未知的目标加速度具有鲁棒性。分析结果表明，所提出的最优制导律与具有预定参考模型的瞬时直接模型参考自适应制导律完全相同。获得的结果的潜在意义在于，它可以提供PI指导律和自适应指导律之间的联系点。因此，它使我们能够更好地理解这两种指导律的物理含义，并为设计利用两种方法的优势的新指导律提供了可能性。最后，通过广泛比较的非线性数值模拟证明了制导律的性能。

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