多导弹协同攻击编队非线性最优控制器设计  

Design of nonlinear optimal controller for multi-missile formation

作　　者：张磊[1] 方洋旺[1] 刁兴华[1] 胡杰[2] 

机构地区：[1]空军工程大学航空航天工程学院 [2]中国人民解放军94857部队

出　　处：《北京航空航天大学学报》2014年第3期401-406,共6页Journal of Beijing University of Aeronautics and Astronautics

摘　　要：针对多导弹协同攻击编队控制问题,采用仿射非线性系统最优控制理论设计了基于领弹-从弹法的多导弹编队控制器.首先采用基于微分几何理论的非线性系统精确线性化方法,将导弹非线性运动模型线性化;然后根据从弹、领弹间的相对运动关系,给出了包含领弹运动信息和队形信息的从弹期望轨迹,建立了基于从弹跟踪误差向量的系统状态方程;最后采用基于稳态解的黎卡提矩阵微分方程求解方法解决最优控制问题,设计了从弹的三维非线性编队控制器;仿真结果表明所设计的控制器能够在领弹机动地情况下快速、稳定地实现编队队形的形成和保持.To solve the formation control problem of multi-missile formation, the optimal control theory of affine nonlinear system was adopted to design the formation controller of missiles based on leader-follower ap- proach. Firstly, precise linearization based on differential geometry theory was used to linearize the nonlinear motion model of the missile. Secondly, according to the relative motion model of leader and follower, the de- sired follower track including the states of leader and the desired formation relative distances was given, and system model with follower track errors was formulated. Finally, riccati matrix differential equation solution based on steady state solution was introduced to solve the optimal control problem and a three-dimensional non-linear optimal formation controller was designed. Simulation results show that the controller is robust to leader maneuver, and is capable of forming and keeping formation figuration rapidly, stably and exactly.

关 键 词：协同攻击 编队控制 精确线性化 领弹-从弹法 最优控制 

分 类 号：TJ765.2[兵器科学与技术—武器系统与运用工程]