基于防空导弹滚动通道控制时/频域指标映射关系研究

Research on Time/Frequency-Domain Index Mapping of Air-Defense Missile Rolling Channel Control

在防空导弹控制系统设计时,如何快速高效设计出满足给定指标的控制系统一直是热点问题。以滚动通道控制设计为例,从数学角度出发设计控制结构,采用解析法、根轨迹法和幅相特性Bode图法建立了时/频域指标与控制参数之间的映射关系,以及时/频域指标之间的映射关系。该映射关系可兼顾时域指标和频域指标来更快速高效设计控制参数,而且还可以得到控制参数变化时指标变化的规律。这有助于根据系统需要实现的性能指标进行控制系统的设计。最后用解析法建立系统时间常数、上升时间、截止频率和闭环带宽之间的关联关系。通过该关联关系对系统可建立更加清晰的物理认识,有利于指导在工程设计中当系统出现振荡或者发散现象时如何采取解决措施。

In the design of air-defense missile control system,how to quickly and efficiently design the control system to meet the given index has always been a hot issue.In this paper,the control structure is designed from the mathematical point of view.Taking the design of the rolling channel control system as an example,the mapping relationship between the time-domain index,the frequency-domain index and the control parameters,and the mapping relationship between the timedomain index and the frequency-domain index are established by using the analytical method,the root locus method and the amplitude-phase characteristic Bode diagram method.The mapping relationship can give consideration to both time-domain and frequency-domain indexes to design control parameters more quickly and efficiently,and can also obtain the rule of index changes when control parameters change.Finally,the correlation among system time constant,rise time,cut-off frequency and closed loop bandwidth is established analytically.Through this correlation,a clearer physical understanding of the system can be established,which is helpful to guide how to take measures when the system oscillates or diverges in engineering design.