基于非线性动态逆的弹道修正控制设计研究

Research on the Design of Nonlinear Dynamic Inversion Control in Trajectory Correction

为了实现强耦合的非线性二维弹道修正方程解耦控制并线性化,基于非线性逆系统原理,采用三时标分离方法,在考察系统状态变量动态特性基础上,分离系统为三子系统,然后分别对各子系统设计逆控制器,对线性化后的系统基于Lyapunov函数法设计线性控制器。最后通过Matlab仿真验证了逆系统方法的有效解耦控制,并通过选择不同的回路带宽比较了系统的动态性能,结果表明了该方法的正确性和有效性。

Based on nonlinear inverse system theory, the three time-scale separation method was put forward for decoupling and line- arizing the strong coupling and nonlinear trajectory correction equations. On the basis of the system states＇ dynamic characteristics, the system was separated into three subsystems. Then, the inverse system controllers were designed for these subsystems separately, and the linear controllers were also done for the linearized systems by the Lyapunov function method. Finally, with the Matlab simulation, it was verified the efficiency of the inverse system method, and compared the system＇s dynamic performance by selecting different loop bandwidths. The results indicate that the method is correct and effective.