BTT导弹再入段非线性鲁棒控制

针对BTT导弹再入段的非线性模型以及三通道间的较强耦合,研究了模型不确定情况下的解耦和跟踪控制问题。首先分析了BTT导弹在再入段的非线性模型,然后根据微分几何方法检验该模型是否可进行输入输出解耦,并推导出BTT导弹在再入段的非线性解耦控制律,其后分析了在某种匹配不确定情况下导弹动态系统的具体形式,并将李亚普诺夫方法运用到控制器的设计中,得出鲁棒输出控制跟踪控制律。采用该控制方式对某型BTT导弹的六自由度仿真实验结果表明:该鲁棒控制方法在系统存在不确定性的情况下,可保证系统的稳定性,并实现三通道间的近似解耦,使攻角α,侧滑角β和滚动角γ良好地跟踪期望指令。

Nonlinear Robust Control of BTT Missile in Reentry Phase

The decoupling and tracking control problem for BTT missile with bounded uncertainties is considered in this paper,because the model is nonlinear and high coupled.Firstly,a nonlinear simulation model is established according to the features of BTT missile in reentry phase.Secondly,using differential geometry method,the model satisfies the sufficient and necessary condition of decoupling of nonlinear system,and the decoupling control law for BTT missile is derived.Thirdly,in view of the uncertainties of missile dynamical system,a robust output tracking controller based on Lyapunov method is designed.At last,the six freedom degree simulation results show that the three outputs which are angle of attack,bank angle and rolling angle,can track the desired trajectory precisely,which means the three channels of BTT missile with uncertainties are well decoupled.