On decoupled or coupled control of bank-to-turn missiles

In this paper, the differences between decoupled and coupled control of bank-to-turn (BTT) missiles have been studied in detail from three aspects: stabilizability, linear quadratic regulator (LQR) control and tracking control. It is found that for some parameters the BTT missile can be controlled by a decoupled way, especially for stabilizability and LQR control. However, for some others, the BTT missile cannot be decoupled and a coupled control method is needed. Therefore, for a practical flight control system, the decouplability should be studied before giving a decoupled control method. In addition, in order to avoid the disadvantages of LQR control method, an improved H∞ controller design method is given. Combined with tracking control problem, a new H∞ control method is established for trajectory tracking.摘要创新点本文分别从可镇定性、 二次型最优控制、 跟踪控制等几个方面研究了倾斜转弯(BTT)导弹解耦与耦合控制的区别与联系。 发现对于大部分参数BTT导弹可以解耦控制。 但是, 对于部分参数BTT导弹不能解耦控制, 必须使用耦合控制器, 这显示了解耦与耦合控制的本质区别。 进一步, 为了克服二次型最优控制的缺点, 给出了一个改善的H无穷控制方法。 结合跟踪控制, 给出了改进的H无穷跟踪控制方法。 详细分析了BTT导弹解耦控制与耦合控制的区别与联系, 发现在部分参数下BTT导弹不应该使用解耦控制方法, 并且解耦控制方法的在品质方面一般都不如耦合控制方法好。 但是耦合控制器需要使用新的设计约束, 不然设计参数较大。 在一系列分析的基础上, 给出了一类改进的H无穷控制方法。