基于解析解的小范围高频率机动飞行器制导律设计

针对机动飞行器的小范围高频率侧向机动飞行问题，结合飞行器的运动学和动力学方程，通过解析方法给出了机动幅值和飞行器最大可用过载下的最大机动频率，同时利用粒子群优化方法进行了制导律最优频率的优化。基于解析规划算法给出了正弦机动制导律的解析形式以实现飞行器在侧向方向的机动导引飞行。仿真结果表明：解析算法能够精确得出制导律频率，而粒子群优化方法的精度也能很好的满足要求，误差在5%以内。正弦机动制导律在大速度下可以较好的完成任务目标；在小速度下，幅值误差会有小幅度的增加。

Guidance Law Design for Small Range High Frequency Maneuvering Aircraft Based on Analytical Solution

For the problem of maneuvering aircraft in mall range high frequency lateral maneuvering flight, combined with the kinematics and dynamics equations, it gives the maneuvering amplitude and the maximum maneuvering frequency under the maximum available overload by the analytical method, and the optimal frequency of guidance law optimized by using the PSO method. Based on the analytic programming algorithm, it provides an analytical form of the sine maneuver guidance law to realize the maneuvering guidance flight of the aircraft in the lateral direction. The simulation results show that the analytical algorithm can precisely calculate the guidance law frequency, and the accuracy error of particle swarm optimization method is less than 5%. The sinusoidal maneuver guidance law can accomplish the mission target better at high speed. At a small speed, the amplitude error will increase slightly.