滚转导弹控制耦合特性分析与解耦方法

控制耦合是滚转导弹所具备的一大特性问题。首先,推导了滚转导弹双通道舵系统在准弹体系下的等效传递函数矩阵,从理论上证明了控制耦合产生的机理,总结了控制耦合的基本特性。其次,分析了主通道的舵效率与无量纲转速、舵机阻尼之间的等量关系。第三,对比研究了两种解耦方法,给出前馈动态补偿物理可实现的条件,从原理上证明工程上常使用的静态解耦超前安装措施实质上是前馈动态补偿的稳态形式。对于周期指令,静态解耦受指令频率的影响,而动态可实现完全解耦,且可以通过增加两个零点获得更好的动态特性。最后,通过数学仿真验证了以上结论。

Analysis of control coupling characteristic and forward decoupling technique for rolling missile

Control coupling is a special problem of rolling missiles. Firstly, the transfer function matrix equivalent in non-spinning frame is derived, which explains the principle and characteristics of control coupling. Secondly, a function relationship between control efficiency and relevant parameters, such as dimensionless spinning rate and damping ratio, is presented. And then, two-decoupling methods are compared and studied. The condition of physically realization for dynamically compensation is given. It is clearly that static decoupling of setting a lead angle which is widely used in engineering is the steady state of the feedforward dynamically compensation in essence. However, frequency of periodic command would influence on static decoupling but not dynamically compensation. In addition, dynamically compensation could set two zeros to improve the dynamic performance. Finally, the conclusions above are demonstrated through the mathematical simulation.