非定常非线性系统解耦控制理论及其在滚转导弹制导中的应用研究

本文研究了非定常非线性系统的解耦控制理论，该理论不仅将非定常非线性系统的输入和输出之间的交叉耦合关系化为一一对应关系，从而把非线性系统分解为若干子系统，而且将这些子系统同时化为线性子系统，实现了精确线性化。本文将该理论用于滚转导弹解耦制导的设计中，数字仿真表明所设计的制导系统不仅精度高，而且具有鲁棒性。该理论也可用于其它含有耦合的非定常非线性控制系统。

DECOUPLING CONTROL THEORY OF TIME VARYING NONLINEAR SYSTEMS AND ITS APPLICATION TO THE GUIDANCE OF ROLLING MISSILES

Decoupling control theory of time varying nonlinear systems is studied in this paper. The theory can not only change cross coupling into a case of one to one correspondence between inputs and outputs of time varying nonlinear system, thus decomposing the system into some subsystems, but can also render these subsystems exactly linearized at the same time. The paper then applies the above mentioned decoupling control theory in the decoupling guidance design of rolling missiles. A number of digital simulation tests prove that the guidance system as designed in this paper possesses not only high precision but also robustness. The decoupling control theory can also be applied for other control systems with coupling.