有落角约束的参数可调最优制导律

Parameter adjustable optimal guidance law with landing angle constraint

基于最优二次型控制理论,对传统有落角约束的最优制导律进行了改进。选取的二次型准则不仅包括对终端状态的约束,还在积分部分包含一个指数增长的时间相关项,推导了一种参数可变的有落角约束的最优制导律。对PN模型的仿真结果表明,系统不但能够满足落角约束和较小的脱靶量,而且随着选取参数的增加,使得系统在接近末端时过载指令减小且变化平缓。

Based on the optimal quadratic control theory, this paper improved the traditional optimal guidance law with landing angle constraint. The selected quadratic criterion included not only the terminal state constraint, but also an exponential time dependent term in the integral part. An optimal guidance law with variable parameters and landing angle constraint was derived. The simulation results of PN model showed that the system can satisfy the angle constraint and small miss distance. Moreover, with the increase of the selected parameters, the overload command decreased and changed gently when the system approached the terminal.