BTT控制弹体线性模型及传函推导

Linear Model and Transfer Function of Bank-to-turn Missile

利用状态空间与传递函数关系,推导偏航-滚转通道耦合传递函数表达式。基于倾斜转弯导弹的运动学和动力学特性,建立倾斜转弯导弹的弹体模型,根据弹体耦合特点进行解耦分析。通过MATLAB符号推导功能和引入算例进行数值求解两种方法,对比验证传递函数正确性。以单位阶跃响应为输入进行仿真,仿真结果表明传递函数表达式正确,为以后的控制系统设计提供便利。

According to the relation between state space expression and transfer function, the transfer functions of roll/yaw channel were de- rived. According to the kinematics and dynamics characters of bank-to-turn missile, the mathematical model of bank-to-turn missile was build, and the coupling model was decoupled. There are two ways to verify the validity of the transfer functions, one is derived by state space in MATLAB, the other is the numerical model which is used to simulate by taking the unit step as input. Simulation results show that the transfer functions are valid and useful for control system design in the future.